diff --git "a/results.csv" "b/results.csv"
new file mode 100644--- /dev/null
+++ "b/results.csv"
@@ -0,0 +1,44801 @@
+model_id,condition_id,opaque_public_id,hidden_label,terminal_status,decision,malformed,theorem_exact,route_exact,joint_exact,positive_accept,false_positive,true_negative,negative_abstain,prompt_leak_flags,schema_errors,predicted_ops_json,gold_ops_json,gold_theorem_name,predicted_theorem_name
+gemma-4-31b,C0_BASE,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gemma-4-31b,C0_BASE,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gemma-4-31b,C0_BASE,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C0_BASE,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_582c2e1f928a5b30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué-Dupuis Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C0_BASE,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C0_BASE,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2bb1f082ed232f6d,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Andreotti–Grauert theorem
+gemma-4-31b,C0_BASE,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C0_BASE,rcd2_789110b6998162ad,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_789110b6998162ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_789110b6998162ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gemma-4-31b,C0_BASE,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C0_BASE,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C0_BASE,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C0_BASE,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_077c39d731537779,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,Mean Value Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gemma-4-31b,C0_BASE,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C0_BASE,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C0_BASE,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gemma-4-31b,C0_BASE,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Gibbs' inequality
+gemma-4-31b,C0_BASE,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C0_BASE,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C0_BASE,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C0_BASE,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Wiener's lemma
+gemma-4-31b,C0_BASE,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C0_BASE,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton-Girard Formulae
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C0_BASE,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C0_BASE,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C0_BASE,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C0_BASE,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C0_BASE,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C0_BASE,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C0_BASE,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C0_BASE,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de6eaacaeaffab41,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C0_BASE,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_15a9ecb28deead8c,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C0_BASE,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gemma-4-31b,C0_BASE,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C0_BASE,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1234f345bfb59706,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1234f345bfb59706,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C0_BASE,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C0_BASE,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C0_BASE,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Grönwall's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_40998f4562131728,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Bonse's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_40998f4562131728,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Bonse's inequality
+gemma-4-31b,C0_BASE,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3da7d23001f0ab84,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3da7d23001f0ab84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C0_BASE,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7289f9c6b89f2d5a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C0_BASE,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C0_BASE,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7378785f670bb408,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,Lifting The Exponent Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C0_BASE,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01ebb063bcab1202,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01ebb063bcab1202,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C0_BASE,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gemma-4-31b,C0_BASE,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gemma-4-31b,C0_BASE,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C0_BASE,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's Sums
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton-Girard Formulae
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_098d8aa78120bd60,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_098d8aa78120bd60,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8b8c61a05ad8e47,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_099df776f4c70b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_099df776f4c70b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C0_BASE,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d3deaa614f51dc6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C0_BASE,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C0_BASE,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gemma-4-31b,C0_BASE,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1f6e409da9bc1263,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1f6e409da9bc1263,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,Thue's lemma
+gemma-4-31b,C0_BASE,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Kneser's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Symmetric Difference Equality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Kneser's theorem
+gemma-4-31b,C0_BASE,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b53de7c5537125c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b53de7c5537125c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b53de7c5537125c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C0_BASE,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C0_BASE,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C0_BASE,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C0_BASE,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_855284f1535804c8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,Gamma Function Integral Representation
+gemma-4-31b,C3_HYBRID_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C0_BASE,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be5b5ebc11138a01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be5b5ebc11138a01,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gemma-4-31b,C0_BASE,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_650f35e54a8bb5b7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_650f35e54a8bb5b7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C0_BASE,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c096e256757a549c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c096e256757a549c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gemma-4-31b,C0_BASE,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_183027ef6a5ef749,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_183027ef6a5ef749,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gemma-4-31b,C0_BASE,rcd2_8a0b6be56423af08,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a0b6be56423af08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a0b6be56423af08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a0b6be56423af08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C0_BASE,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8347b6510ea544ea,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma / Laplace Principle
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8347b6510ea544ea,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C0_BASE,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C0_BASE,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C0_BASE,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C0_BASE,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e13adc3ef9aef1e1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C0_BASE,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b89a3a2e3711068,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b89a3a2e3711068,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C0_BASE,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_590978db48738271,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C0_BASE,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b5a74e960f2209f,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e8064ff7e2d90a8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8064ff7e2d90a8b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C0_BASE,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43a65514b5262e6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43a65514b5262e6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C0_BASE,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd6f4a99d1951f9a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd6f4a99d1951f9a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gemma-4-31b,C0_BASE,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57a5f2589fa4e2b4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C0_BASE,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gemma-4-31b,C0_BASE,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's Principle for Essential Infimum
+gemma-4-31b,C1_THEOREM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's Principle
+gemma-4-31b,C3_HYBRID_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C0_BASE,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C0_BASE,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C0_BASE,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C0_BASE,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C0_BASE,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_38b6b09f6624cea6,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38b6b09f6624cea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C0_BASE,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C0_BASE,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec27ef9f12407d2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gemma-4-31b,C0_BASE,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e34a659ee7de8e60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Tarski's Undefinability Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C0_BASE,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C0_BASE,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C0_BASE,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc4f74139aecc97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc4f74139aecc97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C0_BASE,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Weinstein–Aronszajn identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,Sophie Germain Identity Variant
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gemma-4-31b,C0_BASE,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C0_BASE,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C0_BASE,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+gemma-4-31b,C0_BASE,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C0_BASE,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gemma-4-31b,C0_BASE,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_267a3499e0b79072,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_267a3499e0b79072,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C0_BASE,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef14a9be9b7fc045,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C0_BASE,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C0_BASE,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C0_BASE,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47254b34490cf471,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gemma-4-31b,C0_BASE,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_29f318412cc27773,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_29f318412cc27773,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C0_BASE,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C0_BASE,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C0_BASE,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C0_BASE,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C0_BASE,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Definition of Apéry's constant
+gemma-4-31b,C1_THEOREM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Definition of Apéry's constant
+gemma-4-31b,C3_HYBRID_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gemma-4-31b,C0_BASE,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,Sum-Product Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C0_BASE,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C0_BASE,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gemma-4-31b,C0_BASE,rcd2_c5953138de8f5c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Borell-Varadhan Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C0_BASE,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C0_BASE,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gemma-4-31b,C0_BASE,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_46cd417f5422a549,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46cd417f5422a549,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46cd417f5422a549,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C0_BASE,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ec59dbf79d5e812,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ec59dbf79d5e812,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C0_BASE,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Stochastic Differential Equation Definition
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C0_BASE,rcd2_dd08ff4579f68951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dd08ff4579f68951,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson's Conjecture
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e119c201ef5b9e2b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e119c201ef5b9e2b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C0_BASE,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee7f220cda3e1eb3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C0_BASE,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C0_BASE,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5bd8dd7f7bf366c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5bd8dd7f7bf366c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C0_BASE,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gemma-4-31b,C0_BASE,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C0_BASE,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C0_BASE,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C0_BASE,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C0_BASE,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon Master Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C0_BASE,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C0_BASE,rcd2_7b4c374be1219534,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fischer's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_742bed15ff6dab00,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_742bed15ff6dab00,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gemma-4-31b,C0_BASE,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C0_BASE,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C0_BASE,rcd2_668a16221a5cb987,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gemma-4-31b,C0_BASE,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,Gamma Function Integral Representation
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C0_BASE,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9a2ca74a72dbc830,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9a2ca74a72dbc830,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C0_BASE,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C0_BASE,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54d863f2370c77ce,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C0_BASE,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cebdbd438bcad0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C0_BASE,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10f966779e0a4668,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C0_BASE,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78c2f937e051cde1,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_545ba95e4b7a6d5a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8fc292404f6cb2de,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""OTHER""]",[],,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C0_BASE,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Star of David theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C0_BASE,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec90574f7fe67a71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec90574f7fe67a71,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_666c4a881096a021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,Orlicz–Pettis theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_666c4a881096a021,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gemma-4-31b,C0_BASE,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef9683553e8028fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Chevalley–Warning theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef9683553e8028fe,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Binomial Coefficient Absorption Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Binomial Coefficient Absorption Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C0_BASE,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C0_BASE,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67abe8faa2906acb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Rotational Vandermonde Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gemma-4-31b,C0_BASE,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C0_BASE,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C0_BASE,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C0_BASE,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Varadhan's lemma
+gemma-4-31b,C0_BASE,rcd2_64a84fa14fa7b249,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64a84fa14fa7b249,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64a84fa14fa7b249,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C0_BASE,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C0_BASE,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Rothe's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Rothe–Hagen identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Gould's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Rothe–Hagen identity
+gemma-4-31b,C0_BASE,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Definition of Apery's Constant
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7be90b34db9a6f1e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's constant definition
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gemma-4-31b,C0_BASE,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C0_BASE,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_32b6f7fa49fb54cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C0_BASE,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C0_BASE,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eec4625b56c1ec8e,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gemma-4-31b,C0_BASE,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C0_BASE,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8566a262f82dd678,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8566a262f82dd678,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C0_BASE,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C0_BASE,rcd2_3c665f7ca2b051ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),First Law of Thermodynamics (Gibbs Relation)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C0_BASE,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C0_BASE,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5515aee15671d8f4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Commutativity of Successor and Function
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2351c47a6717814,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2351c47a6717814,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gemma-4-31b,C0_BASE,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C0_BASE,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_acb5ce45214c45fc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C0_BASE,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5763f647425dd113,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5763f647425dd113,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5763f647425dd113,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gemma-4-31b,C0_BASE,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C0_BASE,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C0_BASE,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gemma-4-31b,C0_BASE,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb8bcdabe524a017,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C0_BASE,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_680356474e4c0615,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gemma-4-31b,C0_BASE,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ba386921dddd51b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Bonse's inequality
+gemma-4-31b,C0_BASE,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b11dc25659205be,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,Markov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gemma-4-31b,C0_BASE,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C0_BASE,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d773e239e2e4ddd7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C0_BASE,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gemma-4-31b,C0_BASE,rcd2_e15a9e13f2df41ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Trace-Integral Equivalence for Coherent State Representation
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gemma-4-31b,C0_BASE,rcd2_6e70cb42866e735f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e70cb42866e735f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e70cb42866e735f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e70cb42866e735f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C0_BASE,rcd2_018154856f3daf04,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_018154856f3daf04,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,Mellin Transform of the Exponential Function
+gemma-4-31b,C3_HYBRID_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C0_BASE,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C0_BASE,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_089287f9f67ab480,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Goldbach–Euler theorem
+gemma-4-31b,C0_BASE,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C0_BASE,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74a89e6a4966799e,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74a89e6a4966799e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]",[],,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental Theorem of Line Integrals
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Gradient theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental Theorem for Line Integrals
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gradient theorem
+gemma-4-31b,C0_BASE,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C0_BASE,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C0_BASE,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C0_BASE,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C0_BASE,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a3e0e25b81756f83,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Andreotti–Grauert theorem
+gemma-4-31b,C0_BASE,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_315f3bc9e7b5f011,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b7a3d27efac4aa4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C0_BASE,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché-Capelli Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gemma-4-31b,C0_BASE,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gemma-4-31b,C0_BASE,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C0_BASE,rcd2_634364748a90a118,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_634364748a90a118,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gemma-4-31b,C0_BASE,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_948113ba252422c1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_948113ba252422c1,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C0_BASE,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1d460e500f94c730,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1d460e500f94c730,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C0_BASE,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C0_BASE,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gemma-4-31b,C0_BASE,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C0_BASE,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C0_BASE,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d12f5ba42d0e1c3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d12f5ba42d0e1c3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C0_BASE,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_952aa210a64a182e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,Freiman's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_952aa210a64a182e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,Freiman's theorem
+gemma-4-31b,C0_BASE,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gemma-4-31b,C0_BASE,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1ede75f36b492471,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gemma-4-31b,C0_BASE,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C0_BASE,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gemma-4-31b,C0_BASE,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_756ca1f51135fc19,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+gemma-4-31b,C0_BASE,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C0_BASE,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C0_BASE,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C0_BASE,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f438d6ffdc27107,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f438d6ffdc27107,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C0_BASE,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee877ca0fe3e960a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C0_BASE,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C0_BASE,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_25a81df5efdec9b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cramer's rule,Cramer's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_25a81df5efdec9b4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gemma-4-31b,C0_BASE,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C0_BASE,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gemma-4-31b,C0_BASE,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0495d277cf46a1c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0495d277cf46a1c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Lifting-the-exponent lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C0_BASE,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C0_BASE,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7453c7905abd9822,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C0_BASE,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C0_BASE,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C0_BASE,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c115df5ca69d955e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c115df5ca69d955e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C0_BASE,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C0_BASE,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45c0cdcdb1531f6f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C0_BASE,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_137bd49389530c79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_137bd49389530c79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C0_BASE,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C0_BASE,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Determinant of I + AB
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Determinant of I + AB
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C0_BASE,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53f75062555041f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53f75062555041f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C0_BASE,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cc3a4daa4c10e727,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),Bernstein's Inequality for Polynomials
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),Bernstein's Inequality for Polynomials
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C0_BASE,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e15a57bf17f8747,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,Inverse Function Theorem (Derivative of Inverse)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C0_BASE,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_614f341e01a3dbf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_614f341e01a3dbf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C0_BASE,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C0_BASE,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C0_BASE,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C0_BASE,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C0_BASE,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9a9f55fef332e85d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9a9f55fef332e85d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9a9f55fef332e85d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gemma-4-31b,C0_BASE,rcd2_d0268e09a253ad50,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi Triple Product Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0268e09a253ad50,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi Triple Product Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_538f1b3d64ba3d2e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_538f1b3d64ba3d2e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C0_BASE,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd692272e550967d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd692272e550967d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C0_BASE,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d7c0c8e56be26ee,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d7c0c8e56be26ee,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C0_BASE,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gemma-4-31b,C0_BASE,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C0_BASE,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C0_BASE,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C0_BASE,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Parseval's Theorem for Fourier Series
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C0_BASE,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0347f391dc47e27a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eda24c128bb5aa44,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eda24c128bb5aa44,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C0_BASE,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6d8133b5fb95fcc3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C0_BASE,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C0_BASE,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Hermite's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C0_BASE,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b29094b79c4a298,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,Levi's lemma
+gemma-4-31b,C0_BASE,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C0_BASE,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aee200fbeb9cb443,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aee200fbeb9cb443,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gemma-4-31b,C0_BASE,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_116a693e2961b5b0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hardy–Ramanujan theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_116a693e2961b5b0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,Arithmetic Mean-Geometric Mean Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,Arithmetic Mean-Geometric Mean Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C0_BASE,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C0_BASE,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b762a812f99a27f7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C0_BASE,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Arithmetic Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Algebraic Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C0_BASE,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5007a7b18e99098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C0_BASE,rcd2_e52ae3cea7763931,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e52ae3cea7763931,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C0_BASE,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4de716123c283067,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4de716123c283067,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4de716123c283067,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C0_BASE,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53151f02ead082d8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C0_BASE,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gemma-4-31b,C0_BASE,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4324ee05114bd7c5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Gaussian isoperimetric inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,Inverse Function Theorem (Derivative)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C0_BASE,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb83f72f83e1e48d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C0_BASE,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d3aea59a89de18e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d3aea59a89de18e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+gemma-4-31b,C0_BASE,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6d309db7f1ec5026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6d309db7f1ec5026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C0_BASE,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d428512277484fe4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d428512277484fe4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24003c96d7a2a2dc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C0_BASE,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f5e0cd80f537f6d8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Newton-Girard Formulae
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]",[],,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Newton-Girard Formulae
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C0_BASE,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Baranyai's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Combinatorial Identity for Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Baranyai's theorem
+gemma-4-31b,C0_BASE,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_09166ca3c773844b,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C0_BASE,rcd2_0edebdbb3c41ca9c,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C0_BASE,rcd2_9c2d7b83c8d37c21,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9c2d7b83c8d37c21,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C0_BASE,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C0_BASE,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C0_BASE,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97c8427a633aa7b1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97c8427a633aa7b1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C0_BASE,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe-Hagen Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C0_BASE,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C0_BASE,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C0_BASE,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_85f7214e4c61fdd5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gemma-4-31b,C0_BASE,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C0_BASE,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gemma-4-31b,C0_BASE,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C0_BASE,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7ec638fbb4e7bcb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C0_BASE,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C0_BASE,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C0_BASE,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C0_BASE,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc572f545240c21a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C0_BASE,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7cca1f9d94753683,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7cca1f9d94753683,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C0_BASE,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gemma-4-31b,C0_BASE,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe29b83f296013a2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe29b83f296013a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C0_BASE,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_863144497be80cef,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_863144497be80cef,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C0_BASE,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9bf0832f8f94f777,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C0_BASE,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_140a0a59275c058e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C0_BASE,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's Sums
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton-Girard Formulae
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C0_BASE,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8efb3046b53d7291,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d8c0670d4f03b48,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C0_BASE,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9168cf7e4ec22bfe,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9168cf7e4ec22bfe,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9168cf7e4ec22bfe,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9168cf7e4ec22bfe,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gemma-4-31b,C0_BASE,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Brauer's height zero conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4c656adde11cce84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4c656adde11cce84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C0_BASE,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM-GM Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM-GM Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C0_BASE,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C0_BASE,rcd2_b774d9f88a081ec4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b774d9f88a081ec4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11e20257a0343a39,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C0_BASE,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f476df9c0195810f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gemma-4-31b,C0_BASE,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C0_BASE,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C0_BASE,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C0_BASE,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C0_BASE,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C0_BASE,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C0_BASE,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C0_BASE,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C0_BASE,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C0_BASE,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa4ff5680134fac4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa4ff5680134fac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C0_BASE,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b83d4c4ea8558cc,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C0_BASE,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C0_BASE,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C0_BASE,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2412d6b170787f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2412d6b170787f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C0_BASE,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_97d36d88d3b74c5d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97d36d88d3b74c5d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_f95d5f9eda29de92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f95d5f9eda29de92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gemma-4-31b,C0_BASE,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0323683fa7cdb075,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0323683fa7cdb075,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gemma-4-31b,C0_BASE,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C0_BASE,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C0_BASE,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C0_BASE,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C0_BASE,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f47e85457034d84,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f47e85457034d84,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gemma-4-31b,C0_BASE,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C0_BASE,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2b54d8c32350571,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,Spectral theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2b54d8c32350571,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gemma-4-31b,C0_BASE,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_354eefb0b3c95036,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_354eefb0b3c95036,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C0_BASE,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C0_BASE,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C0_BASE,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_FIBER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C0_BASE,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C0_BASE,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C0_BASE,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6158bc0d6a69616e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6158bc0d6a69616e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C0_BASE,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C0_BASE,rcd2_0f4e90dc787a7e12,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C0_BASE,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_64066911f7e0436b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C0_BASE,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a49f20f250c3a0bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a49f20f250c3a0bc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C0_BASE,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gemma-4-31b,C0_BASE,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C0_BASE,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C0_BASE,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C0_BASE,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6dfa49341e262190,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_52c36ead880e3490,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_52c36ead880e3490,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C0_BASE,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gemma-4-31b,C0_BASE,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5f9ab5992454b61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Abel's binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5f9ab5992454b61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Abel's Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5f9ab5992454b61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Abel's binomial theorem
+gemma-4-31b,C0_BASE,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gemma-4-31b,C0_BASE,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2c03f1e05799b1b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_4fbced180603254d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C0_BASE,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42dc19e39f12a5e2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42dc19e39f12a5e2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C0_BASE,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e7c6e537eeffd4cd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Summation by Parts
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Summation by parts
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Summation by parts
+gemma-4-31b,C0_BASE,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gemma-4-31b,C0_BASE,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gemma-4-31b,C0_BASE,rcd2_ccb8f9546dfb5b59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C0_BASE,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5d9a970557c9818a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C0_BASE,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C0_BASE,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C0_BASE,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C0_BASE,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C0_BASE,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c6baff5744619de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c6baff5744619de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C0_BASE,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f635bc37077cc843,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C0_BASE,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74a3cc29c414f4c9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_cf2dbc3b52d43dc7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1c8128d945f9654,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C0_BASE,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C0_BASE,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gemma-4-31b,C0_BASE,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Artin–Rees lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Ingleton's inequality
+gemma-4-31b,C0_BASE,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C0_BASE,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_851ddeb1ace23c04,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_851ddeb1ace23c04,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc0b3fbb52957df9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc0b3fbb52957df9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C0_BASE,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b86800624469e903,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C0_BASE,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C0_BASE,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Sum of ratios identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02cc30dd6ea0028e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C0_BASE,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_94b3835d843a9bd2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C0_BASE,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C0_BASE,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_419a52fb6906f864,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+gemma-4-31b,C0_BASE,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C0_BASE,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gemma-4-31b,C0_BASE,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec6b675d0918f946,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec6b675d0918f946,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Hurwitz's Theorem for 16-dimensional composition algebras
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec6b675d0918f946,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Pfister's sixteen-square identity
+gemma-4-31b,C0_BASE,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C0_BASE,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C0_BASE,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C0_BASE,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8e12304e3be51fc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C0_BASE,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C0_BASE,rcd2_d681e3d9b8f77b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's Inequality for Polynomials
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gemma-4-31b,C0_BASE,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C0_BASE,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C0_BASE,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3008bad5f97eefe7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3008bad5f97eefe7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gemma-4-31b,C0_BASE,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C0_BASE,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cee3925e826249e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cee3925e826249e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gemma-4-31b,C0_BASE,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a8d059727b1a87ff,positive,SCHEMA_ERROR,REJECT,1,0,0,0,0,0,0,0,,bad_rejection_reason,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C0_BASE,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C0_BASE,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_907e8e62a9b3cc93,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e76865528cf245a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e76865528cf245a2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C0_BASE,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C0_BASE,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gemma-4-31b,C0_BASE,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C0_BASE,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Kantorovich inequality
+gemma-4-31b,C0_BASE,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f7dd10464b664bba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f7dd10464b664bba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C0_BASE,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f3f214ae12bb31b9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C0_BASE,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_702761e49087d166,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gemma-4-31b,C0_BASE,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C0_BASE,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0ed9f734b94c771,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C0_BASE,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gemma-4-31b,C0_BASE,rcd2_0083c364bac5c646,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,Difference of Two Squares
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0083c364bac5c646,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,Difference of Two Squares
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gemma-4-31b,C0_BASE,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C0_BASE,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b07850bf1721e4a4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b07850bf1721e4a4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C0_BASE,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9140ab99617daa3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9140ab99617daa3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C0_BASE,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C0_BASE,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C0_BASE,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95febd58dc0af42f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95febd58dc0af42f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C0_BASE,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e368cbc0ec2d244,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gemma-4-31b,C0_BASE,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gemma-4-31b,C0_BASE,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C0_BASE,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e735f17e4cb2579,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,Nesbitt's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gemma-4-31b,C0_BASE,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gemma-4-31b,C0_BASE,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C0_BASE,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C0_BASE,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C0_BASE,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_221e6e4a3a8f8912,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_344e266ebd996f46,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""OTHER""]",[],,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_344e266ebd996f46,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_344e266ebd996f46,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_344e266ebd996f46,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Binomial theorem
+gemma-4-31b,C0_BASE,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C0_BASE,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C0_BASE,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C0_BASE,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a0adb7309e16abf0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_523a092009c1b1d7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_523a092009c1b1d7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C0_BASE,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C0_BASE,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_36f3579ab6197755,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Area theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_36f3579ab6197755,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Area theorem
+gemma-4-31b,C0_BASE,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C0_BASE,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gemma-4-31b,C0_BASE,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gemma-4-31b,C0_BASE,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C0_BASE,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C0_BASE,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C0_BASE,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3283df5361d881cf,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+gemma-4-31b,C0_BASE,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C0_BASE,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_312c7c894ebb0841,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C0_BASE,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e257edef3763734,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Borell–TIS inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e257edef3763734,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Borell–TIS inequality
+gemma-4-31b,C0_BASE,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C0_BASE,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e07e8a525668b9a1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Kneser's theorem (differential equations)
+gemma-4-31b,C0_BASE,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C0_BASE,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5f78a6caf5fb7b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67b20158f5f3c59d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson's Constant Term Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_43498570b9f5ed2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué-Dupire Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Jacobi triple product
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C0_BASE,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a8591160976e2bbc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a8591160976e2bbc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gemma-4-31b,C0_BASE,rcd2_17b28f42d0daff3e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_17b28f42d0daff3e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Binomial Theorem Sum Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_17b28f42d0daff3e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gemma-4-31b,C0_BASE,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf6131a88c5702dd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e258b6bb675d4a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gemma-4-31b,C0_BASE,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d6256fe8ae9c0301,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,Romanov's theorem
+gemma-4-31b,C0_BASE,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C0_BASE,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,Symmetric AM-GM Inequality for Ratios
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C0_BASE,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C0_BASE,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e5a54f9578a1003,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Additive Identity/Simplification
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Basic Algebraic Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Macdonald Identity for A1 (Jacobi Triple Product variant)
+gemma-4-31b,C1_THEOREM_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Macdonald Identity for A1(1)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+gemma-4-31b,C0_BASE,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3efeebf990d21724,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C0_BASE,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C0_BASE,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Chain Rule of Probability
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gemma-4-31b,C0_BASE,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gemma-4-31b,C0_BASE,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gemma-4-31b,C0_BASE,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C0_BASE,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Tupper's self-referential formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Tupper's self-referential formula
+gemma-4-31b,C0_BASE,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C0_BASE,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95985190ecca4d66,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95985190ecca4d66,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gemma-4-31b,C0_BASE,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_944433ba6c355b91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_944433ba6c355b91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_944433ba6c355b91,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_944433ba6c355b91,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C0_BASE,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C0_BASE,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dbc514a2f24ac528,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dbc514a2f24ac528,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C0_BASE,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gemma-4-31b,C0_BASE,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gemma-4-31b,C0_BASE,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C0_BASE,rcd2_eebd6b7162958bd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble-Deny Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gemma-4-31b,C0_BASE,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C0_BASE,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C0_BASE,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d88e26efcbfd644,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d88e26efcbfd644,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C0_BASE,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C0_BASE,rcd2_33fd191b26a5e871,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]",[],,Euler Product Formula
+gemma-4-31b,C1_THEOREM_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_33fd191b26a5e871,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb73da85addec97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C0_BASE,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90f78859c14cbbbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90f78859c14cbbbe,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C0_BASE,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec68cf907459bc64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec68cf907459bc64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d7dd1072b819ebcb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gemma-4-31b,C0_BASE,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C0_BASE,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_890d38a74ff86e8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,Markov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gemma-4-31b,C0_BASE,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C0_BASE,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss's Theorem on the number of necklaces
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2517333cb46b1e86,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C0_BASE,rcd2_e0ec56edf1b74a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C0_BASE,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cbfbbf21f7af9351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Sum-Product Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi theorem
+gemma-4-31b,C0_BASE,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_411151b88a3e8ef4,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_411151b88a3e8ef4,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gemma-4-31b,C0_BASE,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C0_BASE,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C0_BASE,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b96dc0b0510033d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,Mean Value Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gemma-4-31b,C0_BASE,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_77281c02683a32a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_77281c02683a32a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C0_BASE,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gemma-4-31b,C0_BASE,rcd2_c165c87dc83b14de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c165c87dc83b14de,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c165c87dc83b14de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c165c87dc83b14de,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C0_BASE,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c8461ee86eddb03,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c8461ee86eddb03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C0_BASE,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Crooks fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Crooks fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_7587757d52c29b6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C0_BASE,rcd2_55a44ddb5f6fabde,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's Inversion Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C0_BASE,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a6311bbbe49ce73c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C0_BASE,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C0_BASE,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gemma-4-31b,C0_BASE,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C0_BASE,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C0_BASE,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C0_BASE,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,Kreiss matrix theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C0_BASE,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C0_BASE,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0127f6912998dda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gemma-4-31b,C0_BASE,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C0_BASE,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac3af4352833ad00,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C0_BASE,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C0_BASE,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b197f365cd76033,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b197f365cd76033,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C0_BASE,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C0_BASE,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C0_BASE,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C0_BASE,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C0_BASE,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d94dca54eb3f0710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C0_BASE,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C0_BASE,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C0_BASE,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C0_BASE,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_139791a8e845a3aa,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C0_BASE,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C0_BASE,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C0_BASE,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gemma-4-31b,C0_BASE,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C0_BASE,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C0_BASE,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_93df160222180fd3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C0_BASE,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Chevalley–Warning theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5be8fa486a3df452,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5be8fa486a3df452,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+gemma-4-31b,C0_BASE,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7e0320fae30d262d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7e0320fae30d262d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7e0320fae30d262d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C0_BASE,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's Mixed Volume Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C0_BASE,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gemma-4-31b,C0_BASE,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C0_BASE,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gemma-4-31b,C0_BASE,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C0_BASE,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Sophie Germain Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Sophie Germain's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Sophie Germain Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Sophie Germain's identity
+gemma-4-31b,C0_BASE,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4ec79913cc3a6f71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C0_BASE,rcd2_545672e45bb5b356,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,Nesbitt's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_545672e45bb5b356,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,Nesbitt's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gemma-4-31b,C0_BASE,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C0_BASE,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_059ff7760fca7545,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gemma-4-31b,C0_BASE,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C0_BASE,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C0_BASE,rcd2_ad2870e899701403,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad2870e899701403,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad2870e899701403,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad2870e899701403,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C0_BASE,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_775d36d5e6b61bf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Erdős–Ko–Rado theorem
+gemma-4-31b,C0_BASE,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C0_BASE,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C0_BASE,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9b9a92afa64d97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C0_BASE,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C0_BASE,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C0_BASE,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C0_BASE,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C0_BASE,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C0_BASE,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7400f11bba61556c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff Bound Equality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C0_BASE,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gemma-4-31b,C0_BASE,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C0_BASE,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Coupon collector's problem
+gemma-4-31b,C0_BASE,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,Cohn's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,Cohn's theorem
+gemma-4-31b,C0_BASE,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f919da2067878c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f919da2067878c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C0_BASE,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gemma-4-31b,C0_BASE,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1cb46f2e358e8ada,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1cb46f2e358e8ada,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gemma-4-31b,C0_BASE,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gemma-4-31b,C0_BASE,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gemma-4-31b,C0_BASE,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C0_BASE,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C0_BASE,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Absorption Identity for Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C0_BASE,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C0_BASE,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_292bbc9ad9a22281,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C0_BASE,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6af3100ebe91b319,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,Triangle Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gemma-4-31b,C0_BASE,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a57cc9249e9eaafb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Erdős–Szemerédi theorem
+gemma-4-31b,C0_BASE,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+gemma-4-31b,C0_BASE,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66e2c109960877e1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66e2c109960877e1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C0_BASE,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5aa698f378cd6601,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5aa698f378cd6601,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gemma-4-31b,C0_BASE,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Tutte–Berge formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Blow-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39f158d07c8a8bf1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Blow-up lemma
+gemma-4-31b,C0_BASE,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cc8f4ec765740b24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gemma-4-31b,C0_BASE,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc815f2e7e777c70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc815f2e7e777c70,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C0_BASE,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gemma-4-31b,C0_BASE,rcd2_95a59689f07826cd,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95a59689f07826cd,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C0_BASE,rcd2_ab54464c52621203,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's Identity for Floor Functions
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C0_BASE,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C0_BASE,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1eca4e8561fe55cb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C0_BASE,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C0_BASE,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gemma-4-31b,C0_BASE,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe52ce3c0d962c16,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C0_BASE,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de24c01ecd7aeb77,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9a270db8379099c1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C0_BASE,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C0_BASE,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6974771d988f042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_WITNESS_ENCODING""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_005d0644e5e46849,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Blow-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_005d0644e5e46849,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_005d0644e5e46849,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Blow-up lemma
+gemma-4-31b,C0_BASE,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C0_BASE,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C0_BASE,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_28ec816d4ab8603c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_28ec816d4ab8603c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C0_BASE,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C0_BASE,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9521c9bd4bd9f179,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C0_BASE,rcd2_850c547721551c95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Fundamental Thermodynamic Relation
+gemma-4-31b,C3_HYBRID_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C0_BASE,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C0_BASE,rcd2_7c66fe04e18bf4c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c66fe04e18bf4c4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's Principle
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c66fe04e18bf4c4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gemma-4-31b,C0_BASE,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C0_BASE,rcd2_9d8de83eeff7c3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson's Conjecture
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a66f422a07b2c53c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Crouzeix's conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a66f422a07b2c53c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Crouzeix's conjecture
+gemma-4-31b,C0_BASE,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C0_BASE,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Real part of the polarization identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b008c0d460b0c578,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Polarization identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b008c0d460b0c578,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Polarization identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+gemma-4-31b,C0_BASE,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Rouché-Capelli Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Rouché–Capelli theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Rouché-Capelli Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Rouché–Capelli theorem
+gemma-4-31b,C0_BASE,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C0_BASE,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gemma-4-31b,C0_BASE,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C0_BASE,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gemma-4-31b,C0_BASE,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b0732caa42abd70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b0732caa42abd70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gemma-4-31b,C0_BASE,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gemma-4-31b,C0_BASE,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gemma-4-31b,C0_BASE,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C0_BASE,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C0_BASE,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3750474a51d76f54,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C0_BASE,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C0_BASE,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C0_BASE,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6415491885836691,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_af3a3c04798ee679,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting The Exponent Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gemma-4-31b,C0_BASE,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C0_BASE,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d4673509932cb4e0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C0_BASE,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3269b9002160d6f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]",[],,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3269b9002160d6f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3269b9002160d6f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Landsberg–Schaar relation
+gemma-4-31b,C0_BASE,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C0_BASE,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gemma-4-31b,C0_BASE,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C0_BASE,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bda5136915527a43,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Fundamental Theorem of Line Integrals
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C0_BASE,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1dd11f73b8117925,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Equality of Functions
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C0_BASE,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C0_BASE,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gemma-4-31b,C0_BASE,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C0_BASE,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C0_BASE,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gemma-4-31b,C0_BASE,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C0_BASE,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ceeabe31a7bce07a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C0_BASE,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59b830ed1140151a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hardy–Ramanujan theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59b830ed1140151a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Monotone convergence theorem
+gemma-4-31b,C0_BASE,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C0_BASE,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_01a5ec8a733c6baf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rotational Convolution Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C0_BASE,rcd2_49bfa0ea95f38b85,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49bfa0ea95f38b85,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49bfa0ea95f38b85,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]",[],,Turán's inequalities
+gemma-4-31b,C0_BASE,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_85f2b7fb846a1e3f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_85f2b7fb846a1e3f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C0_BASE,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_391d8faac86ec551,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_391d8faac86ec551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C0_BASE,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C0_BASE,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a224e8b53c19b83a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a224e8b53c19b83a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C0_BASE,rcd2_dcf7226473eb7275,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dcf7226473eb7275,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dcf7226473eb7275,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Vandermonde's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C0_BASE,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C0_BASE,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_113bcf81c3648a06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C0_BASE,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gemma-4-31b,C0_BASE,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af47569c9f42aeb9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af47569c9f42aeb9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C0_BASE,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C0_BASE,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C0_BASE,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Binomial Theorem Sum
+gemma-4-31b,C1_THEOREM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_039661508b85f17a,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""OTHER"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C0_BASE,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C0_BASE,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1dba66bcc7de73a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C0_BASE,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C0_BASE,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gemma-4-31b,C0_BASE,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C0_BASE,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gemma-4-31b,C0_BASE,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C0_BASE,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gemma-4-31b,C0_BASE,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C0_BASE,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_120a7e00f66cba04,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C0_BASE,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gemma-4-31b,C0_BASE,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a7adc8be532ca95a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gemma-4-31b,C0_BASE,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C0_BASE,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C0_BASE,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C0_BASE,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6697df450bab002f,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_863897b0d91ff302,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_OPTIMIZATION_ENCODING""]",[],,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_863897b0d91ff302,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]",[],,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C0_BASE,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1245827e35820541,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gemma-4-31b,C0_BASE,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_627669d515b705c3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_627669d515b705c3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Burr–Erdős conjecture
+gemma-4-31b,C0_BASE,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c61389d9cd264870,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c61389d9cd264870,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C0_BASE,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gemma-4-31b,C0_BASE,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gemma-4-31b,C0_BASE,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C0_BASE,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gemma-4-31b,C0_BASE,rcd2_37a962c23fc3058e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_37a962c23fc3058e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_37a962c23fc3058e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_37a962c23fc3058e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C0_BASE,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C0_BASE,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C0_BASE,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c63baa5290a237a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C0_BASE,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C0_BASE,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd18941bf6e020b8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd18941bf6e020b8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,Abel's Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd18941bf6e020b8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C0_BASE,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gemma-4-31b,C0_BASE,rcd2_097bb37830923db3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C0_BASE,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gemma-4-31b,C0_BASE,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4efa107392f06898,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_272310ea22e8e7b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_272310ea22e8e7b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_272310ea22e8e7b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gemma-4-31b,C0_BASE,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a62d47290fda9323,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a62d47290fda9323,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C0_BASE,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf3c6c030f638cdc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_7834eaf2cc64454f,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7834eaf2cc64454f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fundamental theorem of algebra
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7834eaf2cc64454f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Fundamental theorem of algebra
+gemma-4-31b,C0_BASE,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gemma-4-31b,C0_BASE,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f4008dd1c874b265,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,Identity for (x^2 + y^2 + (x+y)^2)^2
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4008dd1c874b265,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,Identity for sum of squares and fourth powers
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gemma-4-31b,C0_BASE,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C0_BASE,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bbe29c857fb13bc5,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C0_BASE,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90db8f4b8cd03441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90db8f4b8cd03441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C0_BASE,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C0_BASE,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C0_BASE,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_16796dc9ccf5ecac,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_16796dc9ccf5ecac,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49468bf94f62a944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49468bf94f62a944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C0_BASE,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gemma-4-31b,C0_BASE,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C0_BASE,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2045d1659499f37,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]",[],,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gemma-4-31b,C0_BASE,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C0_BASE,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gemma-4-31b,C0_BASE,rcd2_967048845364e1f4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C0_BASE,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C0_BASE,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1119025fad34acfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1119025fad34acfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C0_BASE,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gemma-4-31b,C0_BASE,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C0_BASE,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Girsanov theorem
+gemma-4-31b,C0_BASE,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C0_BASE,rcd2_22d826af043cd6aa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's Principle
+gemma-4-31b,C3_HYBRID_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C0_BASE,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Gaussian Poincare-type Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C0_BASE,rcd2_6cac0d09b1e6be9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6cac0d09b1e6be9d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6cac0d09b1e6be9d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gemma-4-31b,C0_BASE,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C0_BASE,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C0_BASE,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C0_BASE,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C0_BASE,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_49ed1307e114a1a7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49ed1307e114a1a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49ed1307e114a1a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequality for Legendre polynomials
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49ed1307e114a1a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gemma-4-31b,C0_BASE,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C0_BASE,rcd2_4403b0a1e2aa43c9,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C0_BASE,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d98966094f29c3d3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d98966094f29c3d3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C0_BASE,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gemma-4-31b,C0_BASE,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gemma-4-31b,C0_BASE,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C0_BASE,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gemma-4-31b,C0_BASE,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_8d39ec158210289b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C0_BASE,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C0_BASE,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C0_BASE,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb40bd57454601b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb40bd57454601b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C0_BASE,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gemma-4-31b,C0_BASE,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C0_BASE,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Eberhard's theorem
+gemma-4-31b,C0_BASE,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden-Thompson Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden-Thompson Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C0_BASE,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gemma-4-31b,C0_BASE,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b40e1b591439f69,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gemma-4-31b,C0_BASE,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C0_BASE,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C0_BASE,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C0_BASE,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58fb15c0517e0365,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58fb15c0517e0365,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C0_BASE,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Abel's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C0_BASE,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C0_BASE,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C0_BASE,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a002b4305929b955,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fundamental lemma of sieve theory
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a002b4305929b955,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental lemma of sieve theory
+gemma-4-31b,C0_BASE,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gemma-4-31b,C0_BASE,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C0_BASE,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_18704e558d6f72a0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18704e558d6f72a0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e76eb95395bfaa9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C0_BASE,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C0_BASE,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C0_BASE,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C0_BASE,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f31f1a01e3f7a4d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C0_BASE,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bdb6e042d5211797,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C0_BASE,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C0_BASE,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C0_BASE,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gemma-4-31b,C0_BASE,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_de892c5278040ba5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's Equation for Electrostatics
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gemma-4-31b,C0_BASE,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C0_BASE,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_954a0a325b6c0fab,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,Rado's theorem
+gemma-4-31b,C0_BASE,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_535473af68767ad4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_535473af68767ad4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C0_BASE,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_0645d74f886b867e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C0_BASE,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Combination Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C0_BASE,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d0ab27a2efcd4f9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Difference of Squares
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Difference of Two Squares
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc394818607c617b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc394818607c617b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gemma-4-31b,C0_BASE,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53cbe730fe1eeff7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity
+gemma-4-31b,C0_BASE,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gemma-4-31b,C0_BASE,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C0_BASE,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_feb88b0b2eb63d8d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_feb88b0b2eb63d8d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C0_BASE,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81c496984f84ad89,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C0_BASE,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Gauss's lemma (polynomials)
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Polynomial Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Gauss's lemma (polynomials)
+gemma-4-31b,C0_BASE,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C0_BASE,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C0_BASE,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b2ca4f417a508bb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C0_BASE,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dff80eca668d6807,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Dixon's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dff80eca668d6807,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gemma-4-31b,C0_BASE,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C0_BASE,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C0_BASE,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a844a9812f1b6e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,Davenport–Schmidt theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a844a9812f1b6e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,Davenport–Schmidt theorem
+gemma-4-31b,C0_BASE,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C0_BASE,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché-Capelli Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gemma-4-31b,C0_BASE,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gemma-4-31b,C0_BASE,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_55fddcf3da6b761b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55fddcf3da6b761b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C0_BASE,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gemma-4-31b,C0_BASE,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C0_BASE,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_471d4653b2ca566b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_471d4653b2ca566b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C0_BASE,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C0_BASE,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C0_BASE,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C0_BASE,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C0_BASE,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_809eb1606b4abc2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gemma-4-31b,C0_BASE,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_835af8e3c13d0f44,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,Borsuk–Ulam theorem
+gemma-4-31b,C0_BASE,rcd2_f2fc3a110c25bb79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C0_BASE,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+gemma-4-31b,C0_BASE,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gemma-4-31b,C0_BASE,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C0_BASE,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_21c97b5599a059bd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Cantelli's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gemma-4-31b,C0_BASE,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gemma-4-31b,C0_BASE,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C0_BASE,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10b22d6f2547a3e9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gemma-4-31b,C0_BASE,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C0_BASE,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gemma-4-31b,C0_BASE,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,Laplace's Principle
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gemma-4-31b,C0_BASE,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gemma-4-31b,C0_BASE,rcd2_5a99deca5d584e2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C0_BASE,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Binomial Theorem Sum
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C0_BASE,rcd2_722af4bdc94e6510,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_722af4bdc94e6510,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C0_BASE,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0ca051fa53581be8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gemma-4-31b,C0_BASE,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C0_BASE,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e15660d9614163eb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e15660d9614163eb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C0_BASE,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gemma-4-31b,C0_BASE,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7941eae54953ab9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7941eae54953ab9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gemma-4-31b,C0_BASE,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gemma-4-31b,C0_BASE,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5fa89d377e1a57c4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C0_BASE,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C0_BASE,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc989abfea1cfaee,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]",[],,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]",[],,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C0_BASE,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7332a36585688e05,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7332a36585688e05,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C0_BASE,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a1f91ae720f585a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a1f91ae720f585a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gemma-4-31b,C0_BASE,rcd2_bde311b499ebdb06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bde311b499ebdb06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1a60aab885387a94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis-Whitney Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e23199ba2775020,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,
+gemma-4-31b,C0_BASE,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f7af6115a1c1441,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f7af6115a1c1441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C0_BASE,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fbca91cac2968b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fbca91cac2968b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6274bbeb00902284,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6274bbeb00902284,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gemma-4-31b,C0_BASE,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gemma-4-31b,C0_BASE,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gemma-4-31b,C0_BASE,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C0_BASE,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C0_BASE,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24859b870420ccf5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24859b870420ccf5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24859b870420ccf5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gemma-4-31b,C0_BASE,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gemma-4-31b,C0_BASE,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6bbd506b88f42bcc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6bbd506b88f42bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C0_BASE,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d490cefb0bb1130e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C0_BASE,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gemma-4-31b,C0_BASE,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_618b2ea269c90a5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_618b2ea269c90a5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C0_BASE,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C0_BASE,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46ea84216709210f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C0_BASE,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gemma-4-31b,C0_BASE,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Joubert's theorem
+gemma-4-31b,C0_BASE,rcd2_9bc532fdf747294c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C0_BASE,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C0_BASE,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbbf9f35eabe4fb3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbbf9f35eabe4fb3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C0_BASE,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gemma-4-31b,C0_BASE,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C0_BASE,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C0_BASE,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C0_BASE,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2ac2affe38d22f4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gemma-4-31b,C0_BASE,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b0e43b626063df8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b0e43b626063df8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b0e43b626063df8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C0_BASE,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden-Thompson Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C0_BASE,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C0_BASE,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C0_BASE,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C0_BASE,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1ec90c2cc2eeb89f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C0_BASE,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C0_BASE,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gemma-4-31b,C0_BASE,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C0_BASE,rcd2_1ba34d11172bbc57,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1ba34d11172bbc57,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C0_BASE,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a11ace3716918907,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Minkowski Inequality for Volumes
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C0_BASE,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a28a2ddb9397fdfc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a28a2ddb9397fdfc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C0_BASE,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C0_BASE,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55c48d14e457a143,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55c48d14e457a143,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C0_BASE,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gemma-4-31b,C0_BASE,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c750863af7dac028,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,Sophie Germain's Identity Variation
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gemma-4-31b,C0_BASE,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5ed72a11b9890e90,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,Triangle Inequality for Norms
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C0_BASE,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5de283aabc12eb5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5de283aabc12eb5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gemma-4-31b,C0_BASE,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gemma-4-31b,C0_BASE,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C0_BASE,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Minkowski's first inequality for convex bodies
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gemma-4-31b,C0_BASE,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Intertwining Operator Equality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C0_BASE,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd43ff4b857f5551,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C0_BASE,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Azuma's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C0_BASE,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C1_THEOREM_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C0_BASE,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C0_BASE,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gemma-4-31b,C0_BASE,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d02a43ae50817b0b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d02a43ae50817b0b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov–Arnold representation theorem
+gemma-4-31b,C0_BASE,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C0_BASE,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49a3fa2455b454cc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Chernoff bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49a3fa2455b454cc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Chernoff Bound Limit Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49a3fa2455b454cc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Chernoff bound
+gemma-4-31b,C0_BASE,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_570a1a3a1885a1ab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c442f2ec8840e6e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden-Thompson Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C0_BASE,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C0_BASE,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Krener's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf7d0e71842ae79c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Krener's theorem
+gemma-4-31b,C0_BASE,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0114afaad7856d42,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Nesbitt's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb69fe3ed7188303,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb69fe3ed7188303,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gemma-4-31b,C0_BASE,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C0_BASE,rcd2_9d4ab1bd41b4534d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C0_BASE,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gemma-4-31b,C0_BASE,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C0_BASE,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gemma-4-31b,C0_BASE,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Pfister's sixteen-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4cb6986228ff3daa,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C0_BASE,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gemma-4-31b,C0_BASE,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gemma-4-31b,C0_BASE,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gemma-4-31b,C0_BASE,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C0_BASE,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gemma-4-31b,C0_BASE,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gemma-4-31b,C0_BASE,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f836b9749f40cb1e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C0_BASE,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d5cd037c5142016,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Minkowski Inequality for Volumes
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f8c10395ed3fac7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C0_BASE,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef2c122056fa57e0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef2c122056fa57e0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Zolotarev's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gemma-4-31b,C0_BASE,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C0_BASE,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C0_BASE,rcd2_2fe8bcfaf55d0a59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6af427263bc3c0dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6af427263bc3c0dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C0_BASE,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C0_BASE,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C0_BASE,rcd2_b10f5d086a7c4aed,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b10f5d086a7c4aed,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b10f5d086a7c4aed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),Multiplication Rule for Probability
+gemma-4-31b,C0_BASE,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM-GM Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,Arithmetic Mean-Geometric Mean Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gemma-4-31b,C0_BASE,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C0_BASE,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C0_BASE,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_966aae52c93603bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,Fekete's lemma
+gemma-4-31b,C0_BASE,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C0_BASE,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Cantelli's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Cantelli's inequality
+gemma-4-31b,C0_BASE,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gemma-4-31b,C0_BASE,rcd2_6a53a4def76f6b55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6a53a4def76f6b55,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gemma-4-31b,C0_BASE,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a3dc061b89e715b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a3dc061b89e715b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C0_BASE,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gemma-4-31b,C0_BASE,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gemma-4-31b,C0_BASE,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Laplace's principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f4ee3f0ef34141e0,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C0_BASE,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Green's theorem,Green's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gemma-4-31b,C0_BASE,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_373778705e282965,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C0_BASE,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c13646015b80b48c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,Vitali–Carathéodory theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gemma-4-31b,C0_BASE,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb88a5ab805380e9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb88a5ab805380e9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C0_BASE,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality (Cantelli's Inequality)
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C0_BASE,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C0_BASE,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gemma-4-31b,C0_BASE,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gemma-4-31b,C0_BASE,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C0_BASE,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5da63915ee9a539a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5da63915ee9a539a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gemma-4-31b,C0_BASE,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed1b6d93aeaf47c3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,Rado's theorem
+gemma-4-31b,C0_BASE,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C0_BASE,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C0_BASE,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gemma-4-31b,C0_BASE,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_357ecb3ed435909d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C0_BASE,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gemma-4-31b,C0_BASE,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gemma-4-31b,C0_BASE,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gemma-4-31b,C0_BASE,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Absorption Identity for Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gemma-4-31b,C0_BASE,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C0_BASE,rcd2_8efc1c77f3b00293,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8efc1c77f3b00293,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8efc1c77f3b00293,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc67d4ee1a9fe178,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc67d4ee1a9fe178,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gemma-4-31b,C0_BASE,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe-Hagen Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C0_BASE,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b6941789f6881909,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Sylvester's determinant identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b6941789f6881909,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Determinant of LU Decomposition
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b6941789f6881909,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Sylvester's determinant identity
+gemma-4-31b,C0_BASE,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gemma-4-31b,C0_BASE,rcd2_0da020e185cd0f70,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C0_BASE,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C0_BASE,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C0_BASE,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gemma-4-31b,C0_BASE,rcd2_7a5d51029339da1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a5d51029339da1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C0_BASE,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gemma-4-31b,C0_BASE,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_93a3e0328467e974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Vizing's Theorem for Bipartite Graphs
+gemma-4-31b,C1_THEOREM_RAG,rcd2_93a3e0328467e974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Dinitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_93a3e0328467e974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Vizing's Theorem for Bipartite Graphs
+gemma-4-31b,C3_HYBRID_RAG,rcd2_93a3e0328467e974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gemma-4-31b,C0_BASE,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gemma-4-31b,C0_BASE,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,Boole's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gemma-4-31b,C0_BASE,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C0_BASE,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_CYLINDER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Erdős–Kaplansky theorem
+gemma-4-31b,C0_BASE,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Cassini's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8eb12a694aac79ed,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gemma-4-31b,C0_BASE,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C0_BASE,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b39dfc79c77aa66b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gemma-4-31b,C0_BASE,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4465aff701049117,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4465aff701049117,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C0_BASE,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's Identity for Floor Functions
+gemma-4-31b,C1_THEOREM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C0_BASE,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C0_BASE,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C0_BASE,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,Markov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gemma-4-31b,C0_BASE,rcd2_2065ad2dc59855ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2065ad2dc59855ac,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C0_BASE,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_399e8381b2d5ea24,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gemma-4-31b,C0_BASE,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C0_BASE,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b21d61526f25ff7e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b21d61526f25ff7e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gemma-4-31b,C0_BASE,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C0_BASE,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gemma-4-31b,C0_BASE,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C0_BASE,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C0_BASE,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Cassini and Catalan identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac77d5a441f1e417,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac77d5a441f1e417,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gemma-4-31b,C0_BASE,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8e63f16602a3555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8e63f16602a3555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gemma-4-31b,C0_BASE,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C0_BASE,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a61166594d73c73d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a61166594d73c73d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C0_BASE,rcd2_208231715833f2a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gemma-4-31b,C0_BASE,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_85b615da766c0f0a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_85b615da766c0f0a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gemma-4-31b,C0_BASE,rcd2_9bf9d2830f83d8c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bf9d2830f83d8c8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C0_BASE,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2461b0407b1aa21b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2461b0407b1aa21b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2461b0407b1aa21b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,Rothe-Hagen Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2461b0407b1aa21b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gemma-4-31b,C0_BASE,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_932a9f593481f1f6,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_932a9f593481f1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_932a9f593481f1f6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C0_BASE,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a3b62640f51d92a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gemma-4-31b,C0_BASE,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_c196384a29209dbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Whitehead's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c196384a29209dbe,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1741c93238e99b4e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jørgensen's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1741c93238e99b4e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Jørgensen's inequality
+gemma-4-31b,C0_BASE,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gemma-4-31b,C0_BASE,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gemma-4-31b,C0_BASE,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e24a9ab500e2476,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e24a9ab500e2476,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gemma-4-31b,C0_BASE,rcd2_61188a7f5a5f913a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Parseval's Theorem for Measures
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C0_BASE,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C0_BASE,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gemma-4-31b,C0_BASE,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C0_BASE,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gemma-4-31b,C0_BASE,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gemma-4-31b,C0_BASE,rcd2_fa3d510252da466c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fa3d510252da466c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Fundamental Theorem for Gradient Fields
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fa3d510252da466c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+gemma-4-31b,C0_BASE,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cc49b13c94c52052,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cc49b13c94c52052,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C0_BASE,rcd2_bb440288026b4961,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's Principle for Essential Infimum
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+gemma-4-31b,C0_BASE,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2195a70ec794a6a9,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f7ab720779f8269b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f7ab720779f8269b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gemma-4-31b,C0_BASE,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C0_BASE,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gemma-4-31b,C0_BASE,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C0_BASE,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C0_BASE,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gemma-4-31b,C0_BASE,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_09c367dcd9f8db8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_09c367dcd9f8db8a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_09c367dcd9f8db8a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_09c367dcd9f8db8a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C0_BASE,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gemma-4-31b,C0_BASE,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_62b414b9d18b3dd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C0_BASE,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gemma-4-31b,C0_BASE,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gemma-4-31b,C0_BASE,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b81291ea2f3f8929,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Inverse Function Theorem (Derivative Part)
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b81291ea2f3f8929,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Inverse Function Theorem (Derivative)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b81291ea2f3f8929,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Inverse Function Theorem (Derivative)
+gemma-4-31b,C0_BASE,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,McKay-Conjecture-Gue-p-prime
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gemma-4-31b,C0_BASE,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gemma-4-31b,C0_BASE,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+gemma-4-31b,C0_BASE,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gemma-4-31b,C0_BASE,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Leibniz Integral Rule (Reynolds Transport Theorem)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C0_BASE,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C0_BASE,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_276e38004b1fb789,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C0_BASE,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gemma-4-31b,C0_BASE,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_020dfc2462e1c4b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Binomial Inversion Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C0_BASE,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,Alperin-McKay Conjecture
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C0_BASE,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gemma-4-31b,C0_BASE,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01f884b566f4801a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01f884b566f4801a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C0_BASE,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3d2097ea21807fcf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3d2097ea21807fcf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C0_BASE,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gemma-4-31b,C0_BASE,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C0_BASE,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3cc560f548e45440,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C0_BASE,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's Inequality (Union Bound)
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's Inequality (Countable Subadditivity)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gemma-4-31b,C0_BASE,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,"SL(2,C) Commutator Relation"
+gemma-4-31b,C3_HYBRID_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_921a76f6edb470bb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,Mean Value Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gemma-4-31b,C0_BASE,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_966db01a49c289fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_966db01a49c289fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_966db01a49c289fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fdc4befaa8e4a544,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gemma-4-31b,C0_BASE,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C0_BASE,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04992f36dc4c8cda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,Mean Value Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gemma-4-31b,C0_BASE,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bba38e27fb61a0b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,Specht's theorem
+gemma-4-31b,C0_BASE,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Dinitz theorem
+gemma-4-31b,C0_BASE,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gemma-4-31b,C0_BASE,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9587acb5bcacbe28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,Tucker's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9587acb5bcacbe28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,Tucker's lemma
+gemma-4-31b,C0_BASE,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C0_BASE,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c71ad74a0911080b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c71ad74a0911080b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gemma-4-31b,C0_BASE,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9ba8f667c7f84eef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C0_BASE,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gemma-4-31b,C0_BASE,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gemma-4-31b,C0_BASE,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_933d1f7c4a570618,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gemma-4-31b,C0_BASE,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C1_THEOREM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C3_HYBRID_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gemma-4-31b,C0_BASE,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gemma-4-31b,C0_BASE,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gemma-4-31b,C0_BASE,rcd2_19a65c1daf3586a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19a65c1daf3586a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19a65c1daf3586a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19a65c1daf3586a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C0_BASE,rcd2_34a380b8d5e4a737,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,Identity for sum of fourth powers
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34a380b8d5e4a737,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,Identity for sum of fourth powers
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gemma-4-31b,C0_BASE,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C0_BASE,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2db6828dafcb10c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C0_BASE,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gemma-4-31b,C0_BASE,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gemma-4-31b,C0_BASE,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C0_BASE,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C0_BASE,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gemma-4-31b,C0_BASE,rcd2_3c6e0e6d859f0877,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b17490087fc2380,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,Fermat's Last Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C0_BASE,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gemma-4-31b,C0_BASE,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C0_BASE,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f8a294fba4a8dd4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8a294fba4a8dd4b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+gemma-4-31b,C0_BASE,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bdfbdf4986bdfc7,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C0_BASE,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6151f6b035c13da9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6151f6b035c13da9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C0_BASE,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_203ad24190faf7f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Taylor's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_203ad24190faf7f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Taylor's theorem
+gemma-4-31b,C0_BASE,rcd2_d688439786af3bd7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay-Isaacs-Navarro Conjecture (Alperin-McKay Conjecture)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gemma-4-31b,C0_BASE,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C0_BASE,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C0_BASE,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0bb6ed38a9a784a7,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,Hensel's lemma
+gemma-4-31b,C0_BASE,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2584a59ed2dda73e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2584a59ed2dda73e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C0_BASE,rcd2_fd594362b7e46094,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd594362b7e46094,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,SL2_Relation_Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5292e4401ab86b3e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gemma-4-31b,C0_BASE,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95fadca70790a1d3,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gemma-4-31b,C0_BASE,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C0_BASE,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_720e1f7be2e10e65,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,Isolation lemma
+gemma-4-31b,C0_BASE,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7d96bf4def292ca7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]",[],,Labelled enumeration theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7d96bf4def292ca7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Labelled enumeration theorem
+gemma-4-31b,C0_BASE,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gemma-4-31b,C0_BASE,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Nullity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Equality of Nullities
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e0d71b0af25de4fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Nullity theorem
+gemma-4-31b,C0_BASE,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2440b0622d7ef1e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gemma-4-31b,C0_BASE,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3b3df24cf201b86,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3b3df24cf201b86,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C0_BASE,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e7b343249d9140b4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gemma-4-31b,C0_BASE,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C0_BASE,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8c52647fa2a4dd41,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C0_BASE,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d702dd1cb8bf9934,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,
+gemma-4-31b,C0_BASE,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2956e002fed20ab3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2956e002fed20ab3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C0_BASE,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_de7b936da0b2d977,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_de7b936da0b2d977,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,n! conjecture
+gemma-4-31b,C0_BASE,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C0_BASE,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C0_BASE,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gemma-4-31b,C0_BASE,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_da425914fdcfab0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_da425914fdcfab0c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_da425914fdcfab0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gemma-4-31b,C0_BASE,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9563b3e84bb19824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9563b3e84bb19824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gemma-4-31b,C0_BASE,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C0_BASE,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fdde63d7e0c1d462,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C0_BASE,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+gemma-4-31b,C0_BASE,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fac3875e17459c54,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C0_BASE,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2cb28ca6f59a2372,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gemma-4-31b,C0_BASE,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C0_BASE,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_85b60f83c70c950f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_85b60f83c70c950f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gemma-4-31b,C0_BASE,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gemma-4-31b,C0_BASE,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C0_BASE,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gemma-4-31b,C0_BASE,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C0_BASE,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_003b90410ebd7a92,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_003b90410ebd7a92,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]",[],,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C0_BASE,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C0_BASE,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gemma-4-31b,C0_BASE,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70bb68cb1e918a99,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gemma-4-31b,C0_BASE,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b2d7a71a952e771c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,Inverse Function Theorem (Derivative)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gemma-4-31b,C0_BASE,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gemma-4-31b,C0_BASE,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gemma-4-31b,C0_BASE,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gemma-4-31b,C0_BASE,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7e9f232585dc265,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Algorithmic Lovász local lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7e9f232585dc265,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Algorithmic Lovász local lemma
+gemma-4-31b,C0_BASE,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gemma-4-31b,C0_BASE,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gemma-4-31b,C0_BASE,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C0_BASE,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gemma-4-31b,C0_BASE,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gemma-4-31b,C0_BASE,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Trivial Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Trivial Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+gemma-4-31b,C0_BASE,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gemma-4-31b,C0_BASE,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4ffd9988125d6814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gemma-4-31b,C0_BASE,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C0_BASE,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gemma-4-31b,C0_BASE,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gemma-4-31b,C0_BASE,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gemma-4-31b,C0_BASE,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gemma-4-31b,C0_BASE,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39f2d598e043ba48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39f2d598e043ba48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gemma-4-31b,C0_BASE,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e73c668286c8e7e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e73c668286c8e7e7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C0_BASE,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_128437815487b55b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gemma-4-31b,C0_BASE,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gemma-4-31b,C0_BASE,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gemma-4-31b,C0_BASE,rcd2_63abd39b034fdec8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C0_BASE,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Krasner's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Krasner's lemma
+gemma-4-31b,C0_BASE,rcd2_47325fe0d2beb9c9,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Natural Transformation Condition
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+gemma-4-31b,C0_BASE,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gemma-4-31b,C0_BASE,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_979a02ed5e86a5e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gemma-4-31b,C0_BASE,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C0_BASE,rcd2_dc89fc01824c8f34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet-Cauchy Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gemma-4-31b,C0_BASE,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9e94669458c1bfc0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9e94669458c1bfc0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Polarization identity
+gemma-4-31b,C0_BASE,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_50b6391773166e37,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_50b6391773166e37,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gemma-4-31b,C0_BASE,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,Levi's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,Levi's lemma
+gemma-4-31b,C0_BASE,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,Modularity theorem
+gemma-4-31b,C0_BASE,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gemma-4-31b,C0_BASE,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gemma-4-31b,C0_BASE,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3633d058ec15608c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3633d058ec15608c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gemma-4-31b,C0_BASE,rcd2_006a8f8829a36255,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gemma-4-31b,C0_BASE,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_86d3f5f0ac797f18,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_86d3f5f0ac797f18,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gemma-4-31b,C0_BASE,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gemma-4-31b,C0_BASE,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]",[],,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_673474bd6517e3b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,Boole's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_673474bd6517e3b2,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,Boole's Inequality (Countable Subadditivity)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gemma-4-31b,C0_BASE,rcd2_6528db9dff1e4be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gemma-4-31b,C0_BASE,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a79bc5ce30756026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a79bc5ce30756026,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C0_BASE,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3c8a440dcfa3c37d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3c8a440dcfa3c37d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Real Polarization Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+gemma-4-31b,C0_BASE,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gemma-4-31b,C0_BASE,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e97d1a100a56b298,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""EXPAND_ABBREVIATIONS"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C0_BASE,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d62c97fba729c3f0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d62c97fba729c3f0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gemma-4-31b,C0_BASE,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_89c6dc0e4977804c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Dini test,Dini test
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_89c6dc0e4977804c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gemma-4-31b,C0_BASE,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gemma-4-31b,C0_BASE,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gemma-4-31b,C0_BASE,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gemma-4-31b,C0_BASE,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5b6096cfdc0f6e14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eaef315dd90ea15c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gemma-4-31b,C0_BASE,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gemma-4-31b,C0_BASE,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gemma-4-31b,C0_BASE,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ca9f78da5f076245,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ca9f78da5f076245,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gemma-4-31b,C0_BASE,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C0_BASE,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gemma-4-31b,C0_BASE,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gemma-4-31b,C0_BASE,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_979b66fc921b5b89,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Sun's curious identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_979b66fc921b5b89,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Sun's curious identity
+gemma-4-31b,C0_BASE,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76c30fbe015cd216,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Erdős–Graham problem
+gemma-4-31b,C0_BASE,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fee177792ae064ee,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fee177792ae064ee,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Duffin–Schaeffer theorem
+gemma-4-31b,C0_BASE,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gemma-4-31b,C0_BASE,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ebb7ef80087ca749,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gemma-4-31b,C0_BASE,rcd2_95db87754e8727ea,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_95db87754e8727ea,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_95db87754e8727ea,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C0_BASE,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4eac0c67855426c5,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C0_BASE,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gemma-4-31b,C0_BASE,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_13c295015e77cc9f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""OTHER""]",[],,Hermite's Identity for Floor Functions
+gemma-4-31b,C3_HYBRID_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gemma-4-31b,C0_BASE,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gemma-4-31b,C0_BASE,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gemma-4-31b,C0_BASE,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fbbfde9c2260625e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Lorden's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gemma-4-31b,C0_BASE,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gemma-4-31b,C0_BASE,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_416ddc3b3cb7fd08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,Chernoff bound
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gemma-4-31b,C0_BASE,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0df2a2bca5533c02,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gemma-4-31b,C0_BASE,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee69d5d3535ee66a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gemma-4-31b,C0_BASE,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1104b6afd1528fc9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1104b6afd1528fc9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gemma-4-31b,C0_BASE,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Definition of Stochastic Exponential
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C0_BASE,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C0_BASE,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gemma-4-31b,C0_BASE,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gemma-4-31b,C0_BASE,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C0_BASE,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C0_BASE,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Müntz–Szász theorem
+gemma-4-31b,C0_BASE,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C0_BASE,rcd2_fc860fc35c90c78f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gemma-4-31b,C0_BASE,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Parseval's Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gemma-4-31b,C0_BASE,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Gibbs' inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d46366b211cf04c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d46366b211cf04c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gemma-4-31b,C0_BASE,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C0_BASE,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gemma-4-31b,C0_BASE,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gemma-4-31b,C0_BASE,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gemma-4-31b,C0_BASE,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_8f27d2bd238554b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8f27d2bd238554b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gemma-4-31b,C0_BASE,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ea68a688ef82946c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ea68a688ef82946c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gemma-4-31b,C0_BASE,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gemma-4-31b,C0_BASE,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ad050d2f4a4c223c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ad050d2f4a4c223c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gemma-4-31b,C0_BASE,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C0_BASE,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Gaussian Isoperimetric Inequality / Gaussian Log-Sobolev related inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gemma-4-31b,C0_BASE,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C0_BASE,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gemma-4-31b,C0_BASE,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd9b90ab1974a382,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C0_BASE,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8dd1e68921e06ef9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,Difference of Two Squares
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,Difference of Two Squares
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gemma-4-31b,C0_BASE,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a7edf9f97b9ead78,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gemma-4-31b,C0_BASE,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C0_BASE,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gemma-4-31b,C0_BASE,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C0_BASE,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C0_BASE,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,No-deleting theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,No-deleting theorem
+gemma-4-31b,C0_BASE,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24f4c0e266b95061,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C0_BASE,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_544de3a8d329d8f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_544de3a8d329d8f7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,Kneser's theorem
+gemma-4-31b,C0_BASE,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gemma-4-31b,C0_BASE,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9796c5eb59708d18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9796c5eb59708d18,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gemma-4-31b,C0_BASE,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gemma-4-31b,C0_BASE,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4bde718f76cbf395,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pólya–Szegő inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4bde718f76cbf395,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Pólya–Szegő inequality
+gemma-4-31b,C0_BASE,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gemma-4-31b,C0_BASE,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6902297255aee68d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6902297255aee68d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gemma-4-31b,C0_BASE,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e95355111f622553,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,Curtis–Hedlund–Lyndon theorem
+gemma-4-31b,C0_BASE,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2d644345eebc9aa7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality (2D)
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gemma-4-31b,C0_BASE,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45b050d2ab02e31a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gemma-4-31b,C0_BASE,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72d4aaccbf09b00b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72d4aaccbf09b00b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C0_BASE,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a25af218409efa28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gemma-4-31b,C0_BASE,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Star of David theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gemma-4-31b,C0_BASE,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_33691eafaa2a7f69,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_33691eafaa2a7f69,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Erdős–Kaplansky theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gemma-4-31b,C0_BASE,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gemma-4-31b,C0_BASE,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a27bbab42c32790a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a27bbab42c32790a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C0_BASE,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Turán–Kubilius inequality
+gemma-4-31b,C0_BASE,rcd2_6b43a7e754e06dbc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_PAIR_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Hockey-stick identity
+gemma-4-31b,C0_BASE,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gemma-4-31b,C0_BASE,rcd2_5cae55e23e8b9eac,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gemma-4-31b,C0_BASE,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gemma-4-31b,C0_BASE,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gemma-4-31b,C0_BASE,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gemma-4-31b,C0_BASE,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gemma-4-31b,C0_BASE,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gemma-4-31b,C0_BASE,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gemma-4-31b,C0_BASE,rcd2_a963b2e62fedf1f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué-Epstein Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gemma-4-31b,C0_BASE,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gemma-4-31b,C0_BASE,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gemma-4-31b,C0_BASE,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Artin–Rees lemma
+gemma-4-31b,C0_BASE,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gemma-4-31b,C0_BASE,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gemma-4-31b,C0_BASE,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gemma-4-31b,C0_BASE,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_504590f16026ee8e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's Rule
+gemma-4-31b,C3_HYBRID_RAG,rcd2_504590f16026ee8e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gemma-4-31b,C0_BASE,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1fed824937488500,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gemma-4-31b,C0_BASE,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gemma-4-31b,C0_BASE,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gemma-4-31b,C0_BASE,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe-Hagen Identity
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe-Hagen Identity
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gemma-4-31b,C0_BASE,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gemma-4-31b,C0_BASE,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gemma-4-31b,C0_BASE,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gemma-4-31b,C0_BASE,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gemma-4-31b,C0_BASE,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0260013d7872f8dd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0260013d7872f8dd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gemma-4-31b,C0_BASE,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gemma-4-31b,C0_BASE,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gemma-4-31b,C0_BASE,rcd2_5ed14c24a712c862,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5ed14c24a712c862,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f5874bb9cf0f0400,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,Dyson's Conjecture
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f5874bb9cf0f0400,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C0_BASE,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gemma-4-31b,C0_BASE,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_030f2109906efc1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_030f2109906efc1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C0_BASE,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f0ab35299e26b591,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C0_BASE,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4a3d719d57f786c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4a3d719d57f786c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gemma-4-31b,C0_BASE,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gemma-4-31b,C0_BASE,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C0_BASE,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gemma-4-31b,C0_BASE,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Bartlett's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gemma-4-31b,C0_BASE,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+gemma-4-31b,C0_BASE,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2511f84106342be0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Fundamental Theorem of Gradient Line Integrals
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gemma-4-31b,C0_BASE,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gemma-4-31b,C0_BASE,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_389bf01ea0c097b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gemma-4-31b,C3_HYBRID_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gemma-4-31b,C0_BASE,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gemma-4-31b,C0_BASE,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gemma-4-31b,C0_BASE,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_57870989e5abbfb1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gemma-4-31b,C0_BASE,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47028f0d3e750a6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47028f0d3e750a6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gemma-4-31b,C0_BASE,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39b812435cf06b92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C0_BASE,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_67e7057310b53514,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_67e7057310b53514,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,Fejér's theorem
+gemma-4-31b,C0_BASE,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gemma-4-31b,C0_BASE,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_66a18577eaaa0f28,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Dixon's identity
+gemma-4-31b,C0_BASE,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6fbaa769d29253a8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Siegel's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6fbaa769d29253a8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Siegel's lemma
+gemma-4-31b,C0_BASE,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gemma-4-31b,C0_BASE,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Local criterion for flatness
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Ahlswede–Daykin inequality
+gemma-4-31b,C0_BASE,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_46719484152d8924,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gemma-4-31b,C0_BASE,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_93127e2cacfde864,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e80f9685d9e7794c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Blackwell's informativeness theorem
+gemma-4-31b,C0_BASE,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gemma-4-31b,C0_BASE,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Ingleton's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_edf15f9b602f25c5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,AM–GM inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_edf15f9b602f25c5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""DENORMALIZE_RELATION""]",[],,AM–GM inequality
+gemma-4-31b,C0_BASE,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gemma-4-31b,C0_BASE,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gemma-4-31b,C0_BASE,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_75a760fa59a65b38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Chebyshev's Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gemma-4-31b,C0_BASE,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gemma-4-31b,C0_BASE,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4bdd0d1dad6d5863,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gemma-4-31b,C0_BASE,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+gemma-4-31b,C0_BASE,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Definition of Even Function
+gemma-4-31b,C3_HYBRID_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gemma-4-31b,C0_BASE,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_56e6cdff355af28a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_56e6cdff355af28a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gemma-4-31b,C0_BASE,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6f4649aa2503e351,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gemma-4-31b,C0_BASE,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_f6f1fee2f08c5cd5,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Carleman's condition
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Carleman's condition
+gemma-4-31b,C0_BASE,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gemma-4-31b,C0_BASE,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gemma-4-31b,C0_BASE,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gemma-4-31b,C0_BASE,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gemma-4-31b,C0_BASE,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gemma-4-31b,C0_BASE,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8bbaf18b24b401fb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gemma-4-31b,C0_BASE,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Sophie Germain-like Identity for Sum of Cubes/Powers
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_1a24d95e57d454c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_1a24d95e57d454c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gemma-4-31b,C0_BASE,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Bertrand's Postulate
+gemma-4-31b,C3_HYBRID_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gemma-4-31b,C0_BASE,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gemma-4-31b,C0_BASE,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gemma-4-31b,C0_BASE,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gemma-4-31b,C0_BASE,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_b248c88c5cb80471,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Neyman–Pearson lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_b248c88c5cb80471,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Neyman–Pearson lemma
+gemma-4-31b,C0_BASE,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gemma-4-31b,C0_BASE,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2aa899f6f232d1f6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gemma-4-31b,C0_BASE,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_a28f16dde5ea01ac,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gemma-4-31b,C0_BASE,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_3fc0fa5bcec0d44a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+gemma-4-31b,C0_BASE,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by Parts
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e3e8d953eb986866,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+gemma-4-31b,C0_BASE,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gemma-4-31b,C0_BASE,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gemma-4-31b,C0_BASE,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gemma-4-31b,C0_BASE,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C0_BASE,rcd2_4571d7b8668a7bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton-Girard Formulae
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gemma-4-31b,C0_BASE,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c116ba2177702021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,Rouché-Capelli Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C0_BASE,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gemma-4-31b,C0_BASE,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_499576d936d45b2e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gemma-4-31b,C0_BASE,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Boué–Dupuis formula
+gemma-4-31b,C0_BASE,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gemma-4-31b,C0_BASE,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_af28ee9857cf2819,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_af28ee9857cf2819,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gemma-4-31b,C0_BASE,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gemma-4-31b,C0_BASE,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gemma-4-31b,C0_BASE,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_71da5cf19875ae02,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Quantum Expectation Value Equality
+gemma-4-31b,C3_HYBRID_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gemma-4-31b,C0_BASE,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gemma-4-31b,C0_BASE,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_e81b7cf12baffec3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_e81b7cf12baffec3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché-Capelli Theorem
+gemma-4-31b,C3_HYBRID_RAG,rcd2_e81b7cf12baffec3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gemma-4-31b,C0_BASE,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gemma-4-31b,C0_BASE,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,Perron's Formula
+gemma-4-31b,C3_HYBRID_RAG,rcd2_7ffc8590c4507d6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,Perron's formula
+gemma-4-31b,C0_BASE,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_fd42dbb90eb5039c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,Rising sun lemma
+gemma-4-31b,C0_BASE,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,Bézout's identity
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_cd08c2c1bc4571d1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_cd08c2c1bc4571d1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gemma-4-31b,C0_BASE,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_5baef606e056d476,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_5baef606e056d476,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gemma-4-31b,C0_BASE,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_f45e8a6db8f00a3e,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Fundamental lemma
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C0_BASE,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Wigner–Eckart theorem
+gemma-4-31b,C0_BASE,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C1_THEOREM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C2_TRANSFORM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gemma-4-31b,C3_HYBRID_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C0_BASE,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-120b,C0_BASE,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f1807533f51cdb2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C0_BASE,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C0_BASE,rcd2_582c2e1f928a5b30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué‑Dupuis variational formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C0_BASE,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C0_BASE,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C0_BASE,rcd2_685215e73ac45625,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C0_BASE,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C0_BASE,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C1_THEOREM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C3_HYBRID_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C0_BASE,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C0_BASE,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C0_BASE,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C0_BASE,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-120b,C0_BASE,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C0_BASE,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C0_BASE,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C1_THEOREM_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C3_HYBRID_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C0_BASE,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]",[],,Reynolds Transport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C0_BASE,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C0_BASE,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C0_BASE,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C0_BASE,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C1_THEOREM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities (elementary symmetric and power sums)
+gptoss-120b,C3_HYBRID_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C0_BASE,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C0_BASE,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f00173161e99d273,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C0_BASE,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C0_BASE,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C0_BASE,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C0_BASE,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C0_BASE,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C0_BASE,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C0_BASE,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_76c82ebbe6b20464,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C0_BASE,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C0_BASE,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Kolmogorov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov's Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov's inequality
+gptoss-120b,C0_BASE,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C1_THEOREM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_15a9ecb28deead8c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's First Inequality for Mixed Volumes
+gptoss-120b,C3_HYBRID_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C0_BASE,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-120b,C0_BASE,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Expectation equals integral
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C0_BASE,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1234f345bfb59706,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C0_BASE,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C0_BASE,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3da7d23001f0ab84,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3da7d23001f0ab84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C0_BASE,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C0_BASE,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7378785f670bb408,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,Lifting the Exponent Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C0_BASE,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9615e8628adcd18,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8edc7378192e73e1,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01ebb063bcab1202,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C0_BASE,rcd2_b6304a0974b1996e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gptoss-120b,C0_BASE,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_770418179df8594f,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_31f527bb023bf9d5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9acada7511c3ae4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]",[],,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Gaussian tail bound for suprema of a process
+gptoss-120b,C3_HYBRID_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C0_BASE,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C1_THEOREM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities (elementary symmetric vs power sums)
+gptoss-120b,C3_HYBRID_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C0_BASE,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_098d8aa78120bd60,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_098d8aa78120bd60,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-120b,C0_BASE,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2480dd155098c61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2480dd155098c61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_c6164ffc1c9d8039,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_099df776f4c70b0b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_099df776f4c70b0b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_099df776f4c70b0b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C0_BASE,rcd2_35cd4fdcc8aba9fa,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d3deaa614f51dc6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C0_BASE,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-Stick Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C0_BASE,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C0_BASE,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,Inequality via set separation
+gptoss-120b,C3_HYBRID_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-120b,C0_BASE,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1f6e409da9bc1263,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1f6e409da9bc1263,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-120b,C0_BASE,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Kneser's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Kneser's theorem
+gptoss-120b,C0_BASE,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden‑Thompson inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden-Thompson inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C0_BASE,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C0_BASE,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C0_BASE,rcd2_8dcd19440a5ce6d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,Isoperimetric inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,Isoperimetric inequality (planar)
+gptoss-120b,C3_HYBRID_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_855284f1535804c8,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C0_BASE,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be5b5ebc11138a01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_be5b5ebc11138a01,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C0_BASE,rcd2_f9acd31ecdcbe830,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_650f35e54a8bb5b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C0_BASE,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_486a0dc6f82ff785,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c096e256757a549c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c096e256757a549c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-120b,C0_BASE,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_183027ef6a5ef749,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_183027ef6a5ef749,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gptoss-120b,C0_BASE,rcd2_8a0b6be56423af08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein inequality for polynomials on the unit circle
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-120b,C0_BASE,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Laplace Principle
+gptoss-120b,C1_THEOREM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C0_BASE,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e7fb865d1229604,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e7fb865d1229604,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C0_BASE,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,16‑square identity (Hurwitz composition)
+gptoss-120b,C3_HYBRID_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C0_BASE,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2215867f5b04b84b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2215867f5b04b84b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C0_BASE,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C0_BASE,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b89a3a2e3711068,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c0ad860dceb1ce9e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C0_BASE,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_590978db48738271,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_590978db48738271,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (Orbit‑counting theorem)
+gptoss-120b,C3_HYBRID_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C0_BASE,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C0_BASE,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43a65514b5262e6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43a65514b5262e6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C0_BASE,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C0_BASE,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by Parts
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C0_BASE,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_57a5f2589fa4e2b4,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C0_BASE,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-120b,C0_BASE,rcd2_99e1d5493d122775,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Laplace's principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace principle (Varadhan's Lemma) for integrals
+gptoss-120b,C3_HYBRID_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's principle
+gptoss-120b,C0_BASE,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C0_BASE,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C0_BASE,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gptoss-120b,C0_BASE,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product
+gptoss-120b,C1_THEOREM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C0_BASE,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C0_BASE,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C0_BASE,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C0_BASE,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-120b,C0_BASE,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec27ef9f12407d2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C0_BASE,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e34a659ee7de8e60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C1_THEOREM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C0_BASE,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C0_BASE,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C0_BASE,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc4f74139aecc97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc4f74139aecc97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C0_BASE,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-120b,C0_BASE,rcd2_4e05e6e971afe70b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e05e6e971afe70b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e05e6e971afe70b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C0_BASE,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C0_BASE,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C0_BASE,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+gptoss-120b,C0_BASE,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C0_BASE,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Monotonicity of the exponential function
+gptoss-120b,C3_HYBRID_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C0_BASE,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_267a3499e0b79072,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_267a3499e0b79072,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C0_BASE,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0114e08515e297e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0114e08515e297e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,Gronwall's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_0114e08515e297e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C0_BASE,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-120b,C0_BASE,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb1967ccca2af078,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4f9eae4086a59844,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f9eae4086a59844,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C0_BASE,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER"", ""OTHER""]",[],,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-120b,C0_BASE,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47254b34490cf471,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47254b34490cf471,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gptoss-120b,C0_BASE,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_29f318412cc27773,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_29f318412cc27773,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C0_BASE,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C0_BASE,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C0_BASE,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C0_BASE,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Equivariance condition
+gptoss-120b,C3_HYBRID_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C0_BASE,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-120b,C0_BASE,rcd2_e68e6fcb9c3c3e95,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi Sum‑Product Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C0_BASE,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+gptoss-120b,C0_BASE,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon Collector Expectation
+gptoss-120b,C3_HYBRID_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-120b,C0_BASE,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5953138de8f5c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué‑Dupuis variational formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C0_BASE,rcd2_00185b96d82bdb4d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00185b96d82bdb4d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00185b96d82bdb4d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C0_BASE,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C0_BASE,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C0_BASE,rcd2_2b7051a4fa0ffd6e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-120b,C0_BASE,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""OTHER""]",[],,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma-Hoeffding inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C0_BASE,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C0_BASE,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C0_BASE,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson's constant term theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Macdonald constant term identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e119c201ef5b9e2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C0_BASE,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_d98efc08ceada605,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C0_BASE,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-120b,C0_BASE,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C0_BASE,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C0_BASE,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_280e2c3bbc518dc3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C0_BASE,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C0_BASE,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson's constant term identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_772e22498b0d0850,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C0_BASE,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C0_BASE,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C0_BASE,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C0_BASE,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_742bed15ff6dab00,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-120b,C1_THEOREM_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_742bed15ff6dab00,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,Difference of squares identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-120b,C0_BASE,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C0_BASE,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C0_BASE,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-120b,C0_BASE,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C0_BASE,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,Fundamental Theorem of Arithmetic (existence part)
+gptoss-120b,C3_HYBRID_RAG,rcd2_9a2ca74a72dbc830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24ef043809cdebc6,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C0_BASE,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_cebdbd438bcad0f4,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C0_BASE,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-120b,C0_BASE,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C0_BASE,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7817085ed8b24f6e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C0_BASE,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec90574f7fe67a71,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec90574f7fe67a71,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_666c4a881096a021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,Orlicz–Pettis theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_666c4a881096a021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,Orlicz–Pettis theorem
+gptoss-120b,C0_BASE,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-120b,C0_BASE,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Binomial coefficient reduction identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_700a67dfdbd9946d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C0_BASE,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C0_BASE,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman‑Minc Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C0_BASE,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gptoss-120b,C0_BASE,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C0_BASE,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C0_BASE,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C0_BASE,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C0_BASE,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_64a84fa14fa7b249,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C0_BASE,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gptoss-120b,C1_THEOREM_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gptoss-120b,C3_HYBRID_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C0_BASE,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C0_BASE,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Definition of the Riemann zeta function at s=3
+gptoss-120b,C1_THEOREM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's constant series representation
+gptoss-120b,C3_HYBRID_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-120b,C0_BASE,rcd2_0f5ce57a91a79c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C0_BASE,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_32b6f7fa49fb54cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's Lemma (Laplace Principle)
+gptoss-120b,C3_HYBRID_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C0_BASE,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C0_BASE,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C0_BASE,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-120b,C1_THEOREM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-120b,C3_HYBRID_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-120b,C0_BASE,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9194588b8b63e63,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C0_BASE,rcd2_8566a262f82dd678,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8566a262f82dd678,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C0_BASE,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C0_BASE,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Thermodynamic Entropy Differential
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C0_BASE,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C0_BASE,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2351c47a6717814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2351c47a6717814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C0_BASE,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39238425ed0b1bed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39238425ed0b1bed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C0_BASE,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-120b,C0_BASE,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C0_BASE,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C1_THEOREM_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C3_HYBRID_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-120b,C0_BASE,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_11efef3c43870db7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_11efef3c43870db7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C0_BASE,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-120b,C0_BASE,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C0_BASE,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C0_BASE,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b11dc25659205be,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b11dc25659205be,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gptoss-120b,C0_BASE,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C0_BASE,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C0_BASE,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d773e239e2e4ddd7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C0_BASE,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C0_BASE,rcd2_e15a9e13f2df41ea,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C0_BASE,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C1_THEOREM_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C0_BASE,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C0_BASE,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C0_BASE,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e516e7ec964bfd22,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e516e7ec964bfd22,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C0_BASE,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2878c8f968a5c67f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,Fundamental theorem of algebra
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C0_BASE,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2633491087ae9974,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Gradient theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental theorem for line integrals
+gptoss-120b,C3_HYBRID_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gradient theorem
+gptoss-120b,C0_BASE,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C0_BASE,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C0_BASE,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_723cf757a16646f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,Equality of vectors via inner product
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C0_BASE,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-120b,C0_BASE,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis-Whitney Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney Inequality (functional form)
+gptoss-120b,C3_HYBRID_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C0_BASE,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C0_BASE,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C0_BASE,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-120b,C0_BASE,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e76273691be0b259,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C0_BASE,rcd2_634364748a90a118,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_634364748a90a118,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gptoss-120b,C0_BASE,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_948113ba252422c1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]",[],,Markov's Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_948113ba252422c1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]",[],,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins��Erdős theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C0_BASE,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_21bc8da7af836da8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Routh–Hurwitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1d460e500f94c730,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),Multiplication rule of conditional probability
+gptoss-120b,C1_THEOREM_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1d460e500f94c730,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-120b,C3_HYBRID_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-120b,C0_BASE,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C0_BASE,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-120b,C0_BASE,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C0_BASE,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-120b,C0_BASE,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C0_BASE,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_952aa210a64a182e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,Freiman's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_952aa210a64a182e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_952aa210a64a182e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,Freiman's theorem
+gptoss-120b,C0_BASE,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-120b,C0_BASE,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1ede75f36b492471,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-120b,C0_BASE,rcd2_ed9b13e997aa522e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed9b13e997aa522e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C0_BASE,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-120b,C0_BASE,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C0_BASE,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5895315e0da5a7fa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,Quintuple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C0_BASE,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C0_BASE,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C0_BASE,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f438d6ffdc27107,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f438d6ffdc27107,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C0_BASE,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee877ca0fe3e960a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C0_BASE,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b6d7991f94281cc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b6d7991f94281cc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Gronwall's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C0_BASE,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_25a81df5efdec9b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_25a81df5efdec9b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_25a81df5efdec9b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C0_BASE,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f217d2918a27aa75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey‑stick identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C0_BASE,rcd2_3603d890199c57a2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b707f2d18b1c7603,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,Egorov's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b707f2d18b1c7603,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,Egorov's theorem
+gptoss-120b,C0_BASE,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4ebe666adad051e8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C0_BASE,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C0_BASE,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-120b,C0_BASE,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C0_BASE,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+gptoss-120b,C0_BASE,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c115df5ca69d955e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c115df5ca69d955e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C0_BASE,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_f40743c39794bbb7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C0_BASE,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_137bd49389530c79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_137bd49389530c79,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ebfeea77f541eed5,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C0_BASE,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's determinant theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C0_BASE,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53f75062555041f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53f75062555041f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C0_BASE,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9f3a2cb183325168,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cc3a4daa4c10e727,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),Bernstein inequality for polynomials on the unit circle
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-120b,C0_BASE,rcd2_2e15a57bf17f8747,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-120b,C0_BASE,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_614f341e01a3dbf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]",[],,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_614f341e01a3dbf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C0_BASE,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C0_BASE,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_698b505f15576cf9,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C0_BASE,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C0_BASE,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-120b,C0_BASE,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Euler product for the Riemann zeta function
+gptoss-120b,C1_THEOREM_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Euler product formula for the Riemann zeta function
+gptoss-120b,C3_HYBRID_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C0_BASE,rcd2_d0268e09a253ad50,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi Triple Product Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0268e09a253ad50,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_538f1b3d64ba3d2e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C0_BASE,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd692272e550967d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd692272e550967d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C0_BASE,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C0_BASE,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-120b,C0_BASE,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C0_BASE,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C0_BASE,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C0_BASE,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C0_BASE,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C0_BASE,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0347f391dc47e27a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0347f391dc47e27a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C0_BASE,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6d8133b5fb95fcc3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C0_BASE,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b1768ebca60d16ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b1768ebca60d16ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C0_BASE,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C0_BASE,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b29094b79c4a298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b29094b79c4a298,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C0_BASE,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner‑Eckart theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C0_BASE,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q‑Vandermonde Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C0_BASE,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_WITNESS_ENCODING""]",[],,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aee200fbeb9cb443,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aee200fbeb9cb443,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C0_BASE,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fa9fe5e91bc44fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""DENORMALIZE_RELATION"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM‑GM inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C0_BASE,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C0_BASE,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_20c8243ebed6a3f2,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C0_BASE,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_760990843ea025a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_760990843ea025a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C0_BASE,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-120b,C0_BASE,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5007a7b18e99098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5007a7b18e99098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C0_BASE,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C0_BASE,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C0_BASE,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+gptoss-120b,C0_BASE,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-120b,C0_BASE,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7a6fdc7fcadacab5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,Derivative of Inverse Function
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-120b,C0_BASE,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb83f72f83e1e48d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C0_BASE,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d3aea59a89de18e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d3aea59a89de18e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C0_BASE,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6d309db7f1ec5026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6d309db7f1ec5026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C0_BASE,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Lovász Local Lemma (General) Condition
+gptoss-120b,C1_THEOREM_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C0_BASE,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24003c96d7a2a2dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C0_BASE,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Baranyai's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Baranyai's theorem
+gptoss-120b,C0_BASE,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-120b,C0_BASE,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C0_BASE,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace principle (large deviations)
+gptoss-120b,C1_THEOREM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C0_BASE,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C0_BASE,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C0_BASE,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C0_BASE,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dimension theorem for vector spaces
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_97c8427a633aa7b1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97c8427a633aa7b1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C0_BASE,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C0_BASE,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b6b59c788eace49d,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's Rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C0_BASE,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C0_BASE,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_85f7214e4c61fdd5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C0_BASE,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C0_BASE,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-120b,C0_BASE,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_32007156be19f493,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Heegner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Mellin inversion theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C0_BASE,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C0_BASE,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C0_BASE,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-120b,C0_BASE,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C0_BASE,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound (exponential Markov inequality)
+gptoss-120b,C3_HYBRID_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C0_BASE,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C0_BASE,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,List Edge Chromatic Number of Complete Bipartite Graph
+gptoss-120b,C3_HYBRID_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C0_BASE,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C0_BASE,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C0_BASE,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7d8931cab48db1ed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,Upper bound on van der Waerden numbers
+gptoss-120b,C3_HYBRID_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C0_BASE,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C0_BASE,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-120b,C0_BASE,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe29b83f296013a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C0_BASE,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C0_BASE,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C0_BASE,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C0_BASE,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C0_BASE,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C1_THEOREM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C0_BASE,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_64e6c72608846363,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-120b,C0_BASE,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C0_BASE,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization Identity (Real Part)
+gptoss-120b,C1_THEOREM_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C0_BASE,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4c656adde11cce84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4c656adde11cce84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C0_BASE,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C0_BASE,rcd2_7eedc912c750029b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C0_BASE,rcd2_b774d9f88a081ec4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C0_BASE,rcd2_11e20257a0343a39,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11e20257a0343a39,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-120b,C0_BASE,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f476df9c0195810f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f476df9c0195810f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C0_BASE,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-120b,C0_BASE,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C0_BASE,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_15d99cc07a09b062,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C0_BASE,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2db97c67f9117372,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C0_BASE,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C0_BASE,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C1_THEOREM_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C3_HYBRID_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C0_BASE,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C0_BASE,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-120b,C0_BASE,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_fa4ff5680134fac4,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,Kolmogorov Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa4ff5680134fac4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa4ff5680134fac4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gptoss-120b,C0_BASE,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C0_BASE,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b83d4c4ea8558cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C0_BASE,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C0_BASE,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C0_BASE,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C0_BASE,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2412d6b170787f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2412d6b170787f03,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Divergence of the harmonic series
+gptoss-120b,C3_HYBRID_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C0_BASE,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué‑Dupuis variational formula
+gptoss-120b,C1_THEOREM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C0_BASE,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-120b,C0_BASE,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0323683fa7cdb075,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0323683fa7cdb075,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C0_BASE,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b5af430a16d572f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C0_BASE,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9bcdfb75e48fb4b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C0_BASE,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C0_BASE,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C0_BASE,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C0_BASE,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f47e85457034d84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C0_BASE,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C0_BASE,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df1d630b8c15acda,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2b54d8c32350571,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2b54d8c32350571,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C0_BASE,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_354eefb0b3c95036,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_354eefb0b3c95036,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C0_BASE,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C0_BASE,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C0_BASE,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C0_BASE,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C0_BASE,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C0_BASE,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6158bc0d6a69616e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6158bc0d6a69616e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C0_BASE,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C0_BASE,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C0_BASE,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C0_BASE,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (Orbit Counting Theorem)
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64066911f7e0436b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C0_BASE,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C1_THEOREM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_948d712cb0d53a3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_948d712cb0d53a3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C0_BASE,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C0_BASE,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C0_BASE,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C0_BASE,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C0_BASE,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_52c36ead880e3490,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_52c36ead880e3490,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C0_BASE,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C0_BASE,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-120b,C0_BASE,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-120b,C0_BASE,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C0_BASE,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C0_BASE,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C0_BASE,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C0_BASE,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C0_BASE,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C0_BASE,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C0_BASE,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C0_BASE,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,Fundamental Lemma of the Calculus of Variations
+gptoss-120b,C3_HYBRID_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C0_BASE,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64e0fe4d84fd62c3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,Triangle inequality (subadditivity of norm)
+gptoss-120b,C3_HYBRID_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C0_BASE,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C0_BASE,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C0_BASE,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c6baff5744619de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c6baff5744619de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C0_BASE,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C0_BASE,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C0_BASE,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1c8128d945f9654,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Girsanov theorem
+gptoss-120b,C0_BASE,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C0_BASE,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C0_BASE,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gptoss-120b,C0_BASE,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_633318ec15b6185d,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hsu–Robbins–Erdős theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2937b3bde7d85c0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Hsu–Robbins–Erdős theorem
+gptoss-120b,C0_BASE,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_796ed78bbe8a30b9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,AM-GM Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b8111c563d3a2bb0,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C0_BASE,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_03ec65b64f40a088,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C0_BASE,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_851ddeb1ace23c04,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc0b3fbb52957df9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C0_BASE,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b86800624469e903,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts (discrete integration by parts)
+gptoss-120b,C3_HYBRID_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C0_BASE,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C0_BASE,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d169c23992f321ed,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,AM–GM inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C0_BASE,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C0_BASE,rcd2_dd323150feaf36a3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dd323150feaf36a3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein inequality for polynomials on the unit circle
+gptoss-120b,C3_HYBRID_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C0_BASE,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C0_BASE,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C0_BASE,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Euler product for the Riemann zeta function
+gptoss-120b,C1_THEOREM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C0_BASE,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C0_BASE,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C0_BASE,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Local criterion for flatness
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C0_BASE,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec6b675d0918f946,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec6b675d0918f946,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec6b675d0918f946,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Pfister's sixteen-square identity
+gptoss-120b,C0_BASE,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C0_BASE,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-120b,C0_BASE,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C0_BASE,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8e12304e3be51fc,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C0_BASE,rcd2_052024d51ce6cdc8,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C0_BASE,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials
+gptoss-120b,C1_THEOREM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials
+gptoss-120b,C3_HYBRID_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-120b,C0_BASE,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Brunn–Minkowski inequality (expectation form)
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C0_BASE,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2cf597607883193e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER"", ""REMOVE_OPTIMIZATION_ENCODING""]",[],,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C0_BASE,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C0_BASE,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3008bad5f97eefe7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C0_BASE,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe9c08768ee3e835,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-120b,C0_BASE,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_cee3925e826249e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_cee3925e826249e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C0_BASE,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C0_BASE,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C0_BASE,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb0aac224f3c9401,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb0aac224f3c9401,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]",[],,Polarization Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a8d059727b1a87ff,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a8d059727b1a87ff,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+gptoss-120b,C0_BASE,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C0_BASE,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e6324a202700bbff,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Ky Fan inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_e76865528cf245a2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e76865528cf245a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e76865528cf245a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C0_BASE,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-120b,C0_BASE,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C0_BASE,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1f1a4a2aecedcaec,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f7dd10464b664bba,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f7dd10464b664bba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C0_BASE,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C0_BASE,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f3f214ae12bb31b9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C0_BASE,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_17310001f1e66b61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-120b,C0_BASE,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C0_BASE,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C0_BASE,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gptoss-120b,C0_BASE,rcd2_0083c364bac5c646,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0083c364bac5c646,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,Difference of squares factorization
+gptoss-120b,C3_HYBRID_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-120b,C0_BASE,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C0_BASE,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b07850bf1721e4a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b07850bf1721e4a4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9140ab99617daa3d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9140ab99617daa3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C0_BASE,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8b182682bc94b8b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C0_BASE,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C0_BASE,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95febd58dc0af42f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95febd58dc0af42f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C0_BASE,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f836772b34ddeafd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_WITNESS_ENCODING""]",[],,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de76957965c6caaf,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C0_BASE,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gptoss-120b,C0_BASE,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba8a10de4e0c869e,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-120b,C0_BASE,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C0_BASE,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e735f17e4cb2579,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,Nesbitt's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C0_BASE,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b0fed139c792f5c6,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-120b,C0_BASE,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_68c07787d38d59e6,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_68c07787d38d59e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C0_BASE,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Inequality via separating set
+gptoss-120b,C3_HYBRID_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C0_BASE,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Conditional Probability Multiplication Rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C0_BASE,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4787894d9b6c92e0,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C0_BASE,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C0_BASE,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C0_BASE,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi sum‑product theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C0_BASE,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a0adb7309e16abf0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (Cauchy‑Frobenius)
+gptoss-120b,C3_HYBRID_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_523a092009c1b1d7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_523a092009c1b1d7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C0_BASE,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,Chernoff bound (Markov inequality for moment generating function)
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C0_BASE,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_36f3579ab6197755,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_36f3579ab6197755,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C0_BASE,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C0_BASE,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C0_BASE,rcd2_f1d9202c410fe858,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,Jacobi identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f1d9202c410fe858,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,Jacobi identity for Lie brackets
+gptoss-120b,C3_HYBRID_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-120b,C0_BASE,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-120b,C0_BASE,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C0_BASE,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d5dde7b91155a112,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C0_BASE,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C0_BASE,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3dd034df48cf00a9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Floor Sum Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,Identity of indiscernibles (metric property)
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C0_BASE,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C0_BASE,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C0_BASE,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C0_BASE,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c0a66776b99a5cda,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C1_THEOREM_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4896aaaef9cf8431,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C0_BASE,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6940414e1caf93e8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Cohn's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e07e8a525668b9a1,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C0_BASE,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole Principle
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole Principle
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67b20158f5f3c59d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67b20158f5f3c59d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson's constant term identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué‑Dupuis variational representation
+gptoss-120b,C1_THEOREM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué-Dupuis variational formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C0_BASE,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac6fee486de13b11,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C0_BASE,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,Arithmetic Mean - Geometric Mean Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C0_BASE,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Binomial Sum Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C0_BASE,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e258b6bb675d4a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C0_BASE,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,Romanov's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d6256fe8ae9c0301,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,Romanov's theorem
+gptoss-120b,C0_BASE,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C0_BASE,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C0_BASE,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C0_BASE,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d3403565b00e5b14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d3403565b00e5b14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C0_BASE,rcd2_68bc150e83fe54ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Quintuple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+gptoss-120b,C0_BASE,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C0_BASE,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C0_BASE,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gptoss-120b,C0_BASE,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C0_BASE,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-120b,C0_BASE,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C0_BASE,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C0_BASE,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C0_BASE,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95985190ecca4d66,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95985190ecca4d66,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C0_BASE,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_190ca1d899cdf4ae,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-120b,C0_BASE,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_944433ba6c355b91,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_944433ba6c355b91,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_944433ba6c355b91,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C0_BASE,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C0_BASE,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dbc514a2f24ac528,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dbc514a2f24ac528,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C0_BASE,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-120b,C1_THEOREM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_60030e5b63e3af9f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-120b,C3_HYBRID_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-120b,C0_BASE,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C0_BASE,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_767846360d8c4333,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,Kakutani's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_767846360d8c4333,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,Kakutani's theorem
+gptoss-120b,C0_BASE,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd222614e7fb28cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-120b,C0_BASE,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C0_BASE,rcd2_d2cfca90c5462668,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-120b,C0_BASE,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C0_BASE,rcd2_a35351e4016be346,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C0_BASE,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d88e26efcbfd644,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d88e26efcbfd644,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C0_BASE,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C0_BASE,rcd2_33fd191b26a5e871,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Euler product for the Riemann zeta function
+gptoss-120b,C1_THEOREM_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_33fd191b26a5e871,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb73da85addec97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb73da85addec97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C0_BASE,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C0_BASE,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec68cf907459bc64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Isolation lemma,Linearity of inner product
+gptoss-120b,C3_HYBRID_RAG,rcd2_d7dd1072b819ebcb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C0_BASE,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,All bases of a vector space have the same cardinality
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C0_BASE,rcd2_890d38a74ff86e8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-120b,C0_BASE,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C0_BASE,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C0_BASE,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C0_BASE,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C0_BASE,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0a1259f665e3ec95,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi sum‑product theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi theorem
+gptoss-120b,C0_BASE,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55e852bfa2da2fce,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55e852bfa2da2fce,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C1_THEOREM_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gptoss-120b,C3_HYBRID_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gptoss-120b,C0_BASE,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C0_BASE,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C0_BASE,rcd2_4dfc63745a1758f9,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c74ce8e8d4b43025,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C0_BASE,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-120b,C0_BASE,rcd2_77281c02683a32a2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_77281c02683a32a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_77281c02683a32a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C0_BASE,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-120b,C0_BASE,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture (norm bound)
+gptoss-120b,C3_HYBRID_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C0_BASE,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c8461ee86eddb03,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c8461ee86eddb03,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C0_BASE,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Crooks fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Morris's cubic binomial sum identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Mellin inversion theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C0_BASE,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a6311bbbe49ce73c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C0_BASE,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C0_BASE,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-120b,C0_BASE,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gptoss-120b,C1_THEOREM_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gptoss-120b,C3_HYBRID_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C0_BASE,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C0_BASE,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C0_BASE,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C0_BASE,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-120b,C0_BASE,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0127f6912998dda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0127f6912998dda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C0_BASE,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C0_BASE,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac3af4352833ad00,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C0_BASE,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C0_BASE,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e80fd877c33c9be,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b197f365cd76033,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b197f365cd76033,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C0_BASE,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C0_BASE,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-120b,C0_BASE,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C0_BASE,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C0_BASE,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C0_BASE,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d94dca54eb3f0710,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,INF_SUM_DIST_ZERO_EQUIVALENT
+gptoss-120b,C1_THEOREM_RAG,rcd2_d94dca54eb3f0710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d94dca54eb3f0710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C0_BASE,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C0_BASE,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,Reverse Triangle Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C0_BASE,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a80cf1081bd6ca47,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C0_BASE,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_139791a8e845a3aa,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C0_BASE,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C0_BASE,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-120b,C0_BASE,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C0_BASE,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gptoss-120b,C0_BASE,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d643e1a82c86e5e5,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C0_BASE,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f75ec3554dd84866,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-120b,C0_BASE,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C0_BASE,rcd2_c982ac31e833a20c,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C0_BASE,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C0_BASE,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ee622389ec0b8fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Summation by parts
+gptoss-120b,C0_BASE,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e3cb509ebf9ff516,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski first inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's First Inequality (Mixed Volume Inequality)
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C0_BASE,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Lagrange's Identity (Binet‑Cauchy)
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-120b,C0_BASE,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ead79d6c07914ca6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C0_BASE,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-120b,C0_BASE,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C0_BASE,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C0_BASE,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C0_BASE,rcd2_513ee5d5fa6e80ca,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_513ee5d5fa6e80ca,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Sophie Germain's identity
+gptoss-120b,C0_BASE,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4ec79913cc3a6f71,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4ec79913cc3a6f71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C0_BASE,rcd2_545672e45bb5b356,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,Nesbitt's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-120b,C0_BASE,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-120b,C0_BASE,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_059ff7760fca7545,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_059ff7760fca7545,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_059ff7760fca7545,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C0_BASE,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8e4a5f75863c9b8,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8bcdae22d06e8581,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C0_BASE,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-120b,C0_BASE,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma–Hoeffding inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Hoeffding's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C0_BASE,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's determinant identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's determinant identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-120b,C0_BASE,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C0_BASE,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9b9a92afa64d97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C0_BASE,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-120b,C0_BASE,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C0_BASE,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5045a18b7df21f11,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54ea12fc86035a19,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C0_BASE,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C0_BASE,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C0_BASE,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound (tail inequality)
+gptoss-120b,C1_THEOREM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound (tail probability)
+gptoss-120b,C3_HYBRID_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C0_BASE,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_41375a332c163790,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gptoss-120b,C1_THEOREM_RAG,rcd2_41375a332c163790,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),Kneser's theorem (differential equations)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gptoss-120b,C3_HYBRID_RAG,rcd2_41375a332c163790,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),Kneser's theorem (differential equations)
+gptoss-120b,C0_BASE,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-120b,C0_BASE,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]",[],,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-120b,C0_BASE,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f919da2067878c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f919da2067878c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C0_BASE,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-120b,C0_BASE,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1cb46f2e358e8ada,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-120b,C0_BASE,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-120b,C0_BASE,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-120b,C0_BASE,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C0_BASE,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C0_BASE,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Binomial coefficient identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Binomial coefficient identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C0_BASE,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C0_BASE,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C1_THEOREM_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C3_HYBRID_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C0_BASE,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C0_BASE,rcd2_6af3100ebe91b319,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,Triangle Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6af3100ebe91b319,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-120b,C0_BASE,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8a1adbd0c47a076,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Star of David theorem
+gptoss-120b,C0_BASE,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C0_BASE,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_66e2c109960877e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_66e2c109960877e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C0_BASE,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C0_BASE,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_WITNESS_ENCODING""]",[],,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-120b,C0_BASE,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc815f2e7e777c70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc815f2e7e777c70,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C0_BASE,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's determinant theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_a33d2b8ea9a34098,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-120b,C0_BASE,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C0_BASE,rcd2_ab54464c52621203,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C0_BASE,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C0_BASE,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C0_BASE,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-120b,C0_BASE,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-120b,C0_BASE,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6ab45faaab7baed8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe52ce3c0d962c16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C0_BASE,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de24c01ecd7aeb77,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C0_BASE,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C0_BASE,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C0_BASE,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C0_BASE,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Euler product for Riemann zeta
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Euler product formula for the Riemann zeta function
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C0_BASE,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_28ec816d4ab8603c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C0_BASE,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a654532661c8c35e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f538a7a3b898fd69,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f9789c4f4a4f53c0,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Brahmagupta–Fibonacci identity (8 squares)
+gptoss-120b,C3_HYBRID_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C0_BASE,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C0_BASE,rcd2_850c547721551c95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C1_THEOREM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_850c547721551c95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C3_HYBRID_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C0_BASE,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C0_BASE,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace principle (Varadhan's lemma)
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C0_BASE,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C0_BASE,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C0_BASE,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson's constant term identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson's constant term identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C0_BASE,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4fcfe661fdc3aead,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C0_BASE,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization Identity (Real Part)
+gptoss-120b,C1_THEOREM_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C0_BASE,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Rouché–Capelli rank equality
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Rouché–Capelli theorem
+gptoss-120b,C0_BASE,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C0_BASE,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-120b,C0_BASE,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C0_BASE,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fffa2c2f5d8cf148,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b0732caa42abd70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b0732caa42abd70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C0_BASE,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-120b,C0_BASE,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-120b,C0_BASE,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C0_BASE,rcd2_de5b3e7d4334c211,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,Polya–Szegő inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de5b3e7d4334c211,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,Polya–Szegő inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C0_BASE,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3750474a51d76f54,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3750474a51d76f54,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3750474a51d76f54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C0_BASE,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1fec499524060e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C0_BASE,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C0_BASE,rcd2_6415491885836691,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C0_BASE,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting the Exponent Lemma (LTE)
+gptoss-120b,C1_THEOREM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting the Exponent Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-120b,C0_BASE,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's Inequality (One-sided Chebyshev)
+gptoss-120b,C3_HYBRID_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C0_BASE,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman-Minc inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C0_BASE,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d4673509932cb4e0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d4673509932cb4e0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C0_BASE,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C0_BASE,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C0_BASE,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3a61226e04116575,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C0_BASE,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bda5136915527a43,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Fundamental theorem for line integrals
+gptoss-120b,C3_HYBRID_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C0_BASE,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]",[],,Hoeffding's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1dd11f73b8117925,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C0_BASE,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_99560e698f57ab3a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C0_BASE,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-120b,C0_BASE,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C0_BASE,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C0_BASE,rcd2_b30a476e59a213e1,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C0_BASE,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-120b,C0_BASE,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C0_BASE,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ceeabe31a7bce07a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C0_BASE,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C0_BASE,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_01a5ec8a733c6baf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C0_BASE,rcd2_49bfa0ea95f38b85,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_85f2b7fb846a1e3f,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_391d8faac86ec551,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_391d8faac86ec551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C0_BASE,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C0_BASE,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a224e8b53c19b83a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C0_BASE,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_23d9eadad982bcc8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),Set-theoretic characterization of inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23d9eadad982bcc8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C0_BASE,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3d052674afea3d0c,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C0_BASE,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C0_BASE,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_113bcf81c3648a06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_113bcf81c3648a06,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C0_BASE,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-120b,C0_BASE,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C0_BASE,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af47569c9f42aeb9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Lubell–Yamamoto��Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C0_BASE,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f9a6d103ff491438,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f9a6d103ff491438,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,Monotonicity of the exponential function
+gptoss-120b,C3_HYBRID_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-120b,C0_BASE,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C0_BASE,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C0_BASE,rcd2_f6bb5195e6ddc2a2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gptoss-120b,C0_BASE,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C0_BASE,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-120b,C0_BASE,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C1_THEOREM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C3_HYBRID_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C0_BASE,rcd2_2638ad9acc58fc85,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-120b,C0_BASE,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C0_BASE,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_62a87da7b06b464b,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_62a87da7b06b464b,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C0_BASE,rcd2_a017934a6be66995,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-120b,C0_BASE,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C0_BASE,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-120b,C0_BASE,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-120b,C0_BASE,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C0_BASE,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting the Exponent Lemma (LTE)
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-120b,C0_BASE,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a7adc8be532ca95a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a7adc8be532ca95a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-120b,C0_BASE,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c8c8b5cd5edab309,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C0_BASE,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3b5e403ccbd3af35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6448ba8ef14df525,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C0_BASE,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d75835b742e97e7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C0_BASE,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C0_BASE,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-120b,C0_BASE,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_627669d515b705c3,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c61389d9cd264870,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c61389d9cd264870,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C0_BASE,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-120b,C0_BASE,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4e4dcb2a617c194,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56c7bd2ac3fdc710,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-120b,C0_BASE,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C0_BASE,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C0_BASE,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C0_BASE,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_37a962c23fc3058e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_37a962c23fc3058e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C0_BASE,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-120b,C0_BASE,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's equation
+gptoss-120b,C3_HYBRID_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C0_BASE,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c63baa5290a237a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c63baa5290a237a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_c3c1c8030045e5ba,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-120b,C0_BASE,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C0_BASE,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd18941bf6e020b8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd18941bf6e020b8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C0_BASE,rcd2_696355c9a30c7086,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-120b,C1_THEOREM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-120b,C3_HYBRID_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-120b,C0_BASE,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma (Laplace principle)
+gptoss-120b,C1_THEOREM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C0_BASE,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_935ac3fdf2b15951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-120b,C0_BASE,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C0_BASE,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4efa107392f06898,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a62d47290fda9323,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a62d47290fda9323,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a62d47290fda9323,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C0_BASE,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,Leibniz Equality Principle
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C0_BASE,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d25a2c6a866c114,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-120b,C0_BASE,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4008dd1c874b265,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,Algebraic identity (x^2 + y^2 + (x+y)^2)^2 = 2(x^4 + y^4 + (x+y)^4)
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-120b,C0_BASE,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C0_BASE,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C0_BASE,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90db8f4b8cd03441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90db8f4b8cd03441,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90db8f4b8cd03441,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C0_BASE,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1f62a8836c2fd88,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C0_BASE,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_752d5512b51d29d8,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-120b,C0_BASE,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C0_BASE,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C0_BASE,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gptoss-120b,C0_BASE,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42eebf24fead3cea,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C0_BASE,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_282ddd610c4121be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,Entropy Power Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_282ddd610c4121be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,Entropy Power Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-120b,C0_BASE,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C0_BASE,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,Subspace theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,Subspace theorem
+gptoss-120b,C0_BASE,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C0_BASE,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C0_BASE,rcd2_11227f6cb3e3a4a3,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C0_BASE,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fdf7cd6192a674af,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""OTHER""]",[],,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C0_BASE,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C0_BASE,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_83f1064588e7fe70,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C0_BASE,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gptoss-120b,C0_BASE,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C0_BASE,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C0_BASE,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C0_BASE,rcd2_a4f8ef602ee41c34,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Fermat's Last Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C0_BASE,rcd2_6cac0d09b1e6be9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C0_BASE,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f01b64f6b85e8879,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski inequality for mixed volumes
+gptoss-120b,C1_THEOREM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f01b64f6b85e8879,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-120b,C0_BASE,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C0_BASE,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b194a0c844836aba,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C0_BASE,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C0_BASE,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_49ed1307e114a1a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_49ed1307e114a1a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49ed1307e114a1a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_49ed1307e114a1a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-120b,C0_BASE,rcd2_130542eb76165550,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C0_BASE,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C0_BASE,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-120b,C0_BASE,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4ceaba2256aef50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C0_BASE,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C0_BASE,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-120b,C0_BASE,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Floor sum identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C0_BASE,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b41bac78c2cc3496,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b41bac78c2cc3496,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,Le Cam's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b41bac78c2cc3496,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,Le Cam's theorem
+gptoss-120b,C0_BASE,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-120b,C0_BASE,rcd2_8d39ec158210289b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d39ec158210289b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C0_BASE,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C0_BASE,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_536571dbfde094e3,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a0b65fc5696b524,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Kreiss matrix theorem
+gptoss-120b,C0_BASE,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C0_BASE,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb40bd57454601b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb40bd57454601b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C0_BASE,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-120b,C0_BASE,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f576b49501370506,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C0_BASE,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden‑Thompson inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C0_BASE,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-120b,C0_BASE,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-120b,C0_BASE,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C0_BASE,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C0_BASE,rcd2_e70818ebc226a210,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C0_BASE,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C0_BASE,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58fb15c0517e0365,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58fb15c0517e0365,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-120b,C0_BASE,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C0_BASE,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95a01f841579162d,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-120b,C0_BASE,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C0_BASE,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a002b4305929b955,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a002b4305929b955,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fundamental lemma of sieve theory
+gptoss-120b,C0_BASE,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-120b,C0_BASE,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,Linearity of linear maps (scalar multiplication)
+gptoss-120b,C3_HYBRID_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C0_BASE,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-120b,C0_BASE,rcd2_18704e558d6f72a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C0_BASE,rcd2_e76eb95395bfaa9a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e76eb95395bfaa9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C0_BASE,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C0_BASE,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C0_BASE,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C0_BASE,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C1_THEOREM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C0_BASE,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bdb6e042d5211797,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C0_BASE,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_11a570a33330040f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C0_BASE,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-120b,C0_BASE,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's equation
+gptoss-120b,C1_THEOREM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's Equation for Electrostatics
+gptoss-120b,C3_HYBRID_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C0_BASE,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C0_BASE,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_954a0a325b6c0fab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_954a0a325b6c0fab,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C0_BASE,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_535473af68767ad4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_535473af68767ad4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C0_BASE,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Hoeffding's inequality for martingales
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Hoeffding/Azuma concentration inequality for martingales
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C0_BASE,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality (non‑negativity of KL divergence)
+gptoss-120b,C1_THEOREM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C0_BASE,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C0_BASE,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C0_BASE,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d0ab27a2efcd4f9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Difference of squares factorization
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Difference of squares identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_25457e44bff2e48e,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc394818607c617b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc394818607c617b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]",[],,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-120b,C0_BASE,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization Identity (real part)
+gptoss-120b,C1_THEOREM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C0_BASE,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's Rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-120b,C0_BASE,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C0_BASE,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C0_BASE,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C0_BASE,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Gauss's lemma (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gauss's lemma (polynomials)
+gptoss-120b,C0_BASE,rcd2_362828da69b3d131,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C0_BASE,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C0_BASE,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b2ca4f417a508bb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C0_BASE,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Cubic binomial sum identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C0_BASE,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C0_BASE,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a844a9812f1b6e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,Davenport–Schmidt theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a844a9812f1b6e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,Davenport–Schmidt theorem
+gptoss-120b,C0_BASE,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-120b,C0_BASE,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C0_BASE,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-120b,C0_BASE,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_55fddcf3da6b761b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Hoeffding/Bernstein inequality for bounded variables
+gptoss-120b,C3_HYBRID_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C0_BASE,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-120b,C0_BASE,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C0_BASE,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6ebdd7266840b928,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6ebdd7266840b928,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_471d4653b2ca566b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_471d4653b2ca566b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C0_BASE,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-120b,C0_BASE,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C0_BASE,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C0_BASE,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C0_BASE,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C1_THEOREM_RAG,rcd2_809eb1606b4abc2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_809eb1606b4abc2b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C3_HYBRID_RAG,rcd2_809eb1606b4abc2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-120b,C0_BASE,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C0_BASE,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-120b,C1_THEOREM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_835af8e3c13d0f44,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-120b,C3_HYBRID_RAG,rcd2_835af8e3c13d0f44,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,Borsuk–Ulam theorem
+gptoss-120b,C0_BASE,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Gaussian Concentration Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C0_BASE,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-120b,C0_BASE,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-120b,C0_BASE,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Determinant of block diagonal matrix
+gptoss-120b,C3_HYBRID_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C0_BASE,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_588ea1712adf0a19,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,Boole's inequality (union bound)
+gptoss-120b,C1_THEOREM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_588ea1712adf0a19,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,Union bound
+gptoss-120b,C3_HYBRID_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gptoss-120b,C0_BASE,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C0_BASE,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_10b22d6f2547a3e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,Difference of squares factorization
+gptoss-120b,C1_THEOREM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gptoss-120b,C0_BASE,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5da7ef165ff800e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,Cauchy's convergence test
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5da7ef165ff800e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,Cauchy's convergence test
+gptoss-120b,C0_BASE,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-120b,C0_BASE,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-120b,C0_BASE,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte's theorem (maximum matching size characterization)
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte's Theorem on Maximum Matching Size
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C0_BASE,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Binomial Sum Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C0_BASE,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_722af4bdc94e6510,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gptoss-120b,C0_BASE,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-120b,C0_BASE,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2a4d6719c742303,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2a4d6719c742303,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C0_BASE,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e15660d9614163eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e15660d9614163eb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C0_BASE,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C0_BASE,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7941eae54953ab9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7941eae54953ab9a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gptoss-120b,C0_BASE,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C0_BASE,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5fa89d377e1a57c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C0_BASE,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C0_BASE,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef72d0c3410264be,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole Principle
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]",[],,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole Principle (max bin size bound)
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_694d953276e28553,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""OTHER""]",[],,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_694d953276e28553,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-120b,C0_BASE,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7332a36585688e05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C0_BASE,rcd2_5a1f91ae720f585a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a1f91ae720f585a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a1f91ae720f585a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a1f91ae720f585a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-120b,C0_BASE,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C0_BASE,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1a60aab885387a94,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a60aab885387a94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C0_BASE,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C0_BASE,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f7af6115a1c1441,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f7af6115a1c1441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C0_BASE,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis-Whitney inequality (functional form)
+gptoss-120b,C1_THEOREM_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis-Whitney inequality (functional form)
+gptoss-120b,C3_HYBRID_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C0_BASE,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C1_THEOREM_RAG,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-120b,C3_HYBRID_RAG,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-120b,C0_BASE,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-120b,C0_BASE,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-120b,C0_BASE,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C0_BASE,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C0_BASE,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C0_BASE,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-120b,C0_BASE,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C0_BASE,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f7c3b41a213805f3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""OTHER""]",[],,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C0_BASE,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3347097ed4f0632e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-120b,C0_BASE,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6bbd506b88f42bcc,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6bbd506b88f42bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C0_BASE,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d490cefb0bb1130e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C0_BASE,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-120b,C0_BASE,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_618b2ea269c90a5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C0_BASE,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C0_BASE,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_46ea84216709210f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C0_BASE,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81d0947b2c828d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e492ef52e7947e98,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]",[],,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_9bc532fdf747294c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C0_BASE,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C0_BASE,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C0_BASE,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fdad63a87b9df775,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,Markov's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gptoss-120b,C0_BASE,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6c287e51690c6850,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C0_BASE,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C0_BASE,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa55396e7a68b228,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C0_BASE,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ed29770f805dfaa0,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma-Hoeffding inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-120b,C0_BASE,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b0e43b626063df8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,Ramanujan's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b0e43b626063df8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,Ramanujan's master theorem
+gptoss-120b,C0_BASE,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden-Thompson inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C0_BASE,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C0_BASE,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C0_BASE,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C0_BASE,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Markov inequality for Mahalanobis distance
+gptoss-120b,C1_THEOREM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multivariate Chebyshev Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e107d9746c6b878e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C0_BASE,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-120b,C0_BASE,rcd2_8c40a070bc60595b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-120b,C0_BASE,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C0_BASE,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Fundamental theorem of line integrals
+gptoss-120b,C3_HYBRID_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C0_BASE,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a11ace3716918907,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C0_BASE,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]",[],,Bernstein's theorem (polynomials)
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C0_BASE,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C0_BASE,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55c48d14e457a143,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55c48d14e457a143,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C0_BASE,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-120b,C0_BASE,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c750863af7dac028,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c750863af7dac028,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-120b,C0_BASE,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C0_BASE,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C0_BASE,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5de283aabc12eb5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5de283aabc12eb5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C0_BASE,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-120b,C0_BASE,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-120b,C0_BASE,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-120b,C0_BASE,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C0_BASE,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's Lemma (Laplace Principle)
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C0_BASE,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6a7bed15371395f0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_399272e1d9f6529c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C1_THEOREM_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_399272e1d9f6529c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C3_HYBRID_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C0_BASE,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C0_BASE,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-120b,C0_BASE,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d02a43ae50817b0b,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C0_BASE,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f5c840908d652b13,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa6ee53dd91495f0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Newton's identities
+gptoss-120b,C0_BASE,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Kőnig's Line Coloring Theorem for Complete Bipartite Graphs
+gptoss-120b,C3_HYBRID_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C0_BASE,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden‑Thompson inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C0_BASE,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-120b,C0_BASE,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Krener's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Leibniz's law (indiscernibility of identicals)
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf7d0e71842ae79c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Krener's theorem
+gptoss-120b,C0_BASE,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4556cce9593f4f06,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Andreotti–Grauert theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4556cce9593f4f06,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Andreotti–Grauert theorem
+gptoss-120b,C0_BASE,rcd2_bb69fe3ed7188303,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb69fe3ed7188303,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb69fe3ed7188303,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C0_BASE,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a786d18fc023cf5a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-120b,C0_BASE,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C0_BASE,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C0_BASE,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-120b,C0_BASE,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-120b,C0_BASE,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4cb6986228ff3daa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4cb6986228ff3daa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C0_BASE,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-120b,C0_BASE,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-120b,C0_BASE,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-120b,C0_BASE,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C0_BASE,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0315a7307fe31636,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0315a7307fe31636,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-120b,C0_BASE,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-120b,C0_BASE,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener’s theorem on Fourier coefficients
+gptoss-120b,C1_THEOREM_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C0_BASE,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d5cd037c5142016,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f8c10395ed3fac7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C0_BASE,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C0_BASE,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-120b,C0_BASE,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C0_BASE,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Galvin's List Edge Coloring Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-120b,C0_BASE,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C0_BASE,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C0_BASE,rcd2_1aa9903bc437b253,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C0_BASE,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C1_THEOREM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C3_HYBRID_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C0_BASE,rcd2_b8ccc6f4fe5d4ce0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-120b,C0_BASE,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_966aae52c93603bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_966aae52c93603bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-120b,C0_BASE,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C1_THEOREM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C0_BASE,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-120b,C0_BASE,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a3dc061b89e715b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a3dc061b89e715b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C0_BASE,rcd2_0526bbd943056984,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c91439a8b8007ad9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c91439a8b8007ad9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-120b,C0_BASE,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-120b,C0_BASE,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f4ee3f0ef34141e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C0_BASE,rcd2_5f1dab8f8e2f733b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Green's theorem,Green's theorem
+gptoss-120b,C0_BASE,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_373778705e282965,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,Isoperimetric inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c13646015b80b48c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,Vitali–Carathéodory theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c13646015b80b48c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,Vitali–Carathéodory theorem
+gptoss-120b,C0_BASE,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess bound for character sums
+gptoss-120b,C1_THEOREM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess bound
+gptoss-120b,C3_HYBRID_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-120b,C0_BASE,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C0_BASE,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C0_BASE,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-120b,C0_BASE,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-120b,C0_BASE,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C0_BASE,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5da63915ee9a539a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5da63915ee9a539a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5da63915ee9a539a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-120b,C0_BASE,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-120b,C0_BASE,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing Lemma (lower bound on crossing number)
+gptoss-120b,C3_HYBRID_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C0_BASE,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C0_BASE,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa497770d8bd57a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa497770d8bd57a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C0_BASE,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C0_BASE,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden‑Thompson inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-120b,C0_BASE,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Equality characterized by indistinguishability by subsets
+gptoss-120b,C3_HYBRID_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C0_BASE,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-120b,C0_BASE,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C0_BASE,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-120b,C0_BASE,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b61c40e2f7a3951a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,Sum-Product Estimate
+gptoss-120b,C1_THEOREM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C0_BASE,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-120b,C0_BASE,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5d1db2c3403f69f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Generalized Vandermonde Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C0_BASE,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b6941789f6881909,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b6941789f6881909,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Sylvester's determinant identity
+gptoss-120b,C0_BASE,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-120b,C0_BASE,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole Principle (max subset size)
+gptoss-120b,C3_HYBRID_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3356f870086adeb7,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C0_BASE,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C0_BASE,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess bound for character sums
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess bound for character sums
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-120b,C0_BASE,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ddb4ef63aecacf2b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_458610c8ac5dd02b,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-120b,C0_BASE,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_93a3e0328467e974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dinitz theorem
+gptoss-120b,C0_BASE,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-120b,C0_BASE,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4a3e31a78e155710,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bioche's rules,Borsuk–Ulam theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4a3e31a78e155710,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4a3e31a78e155710,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bioche's rules,Borsuk–Ulam theorem
+gptoss-120b,C0_BASE,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-120b,C0_BASE,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_570b94d9085240fd,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C0_BASE,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C0_BASE,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CYLINDER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey‑Stick Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey‑Stick Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_17441119733191e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Normal order of ω(n)
+gptoss-120b,C1_THEOREM_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem on ω(n)
+gptoss-120b,C3_HYBRID_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C0_BASE,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Cassini's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Cassini and Catalan identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's theorem (norm bound)
+gptoss-120b,C3_HYBRID_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-120b,C0_BASE,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C0_BASE,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C0_BASE,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Little's law
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b39dfc79c77aa66b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-120b,C0_BASE,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4465aff701049117,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4465aff701049117,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C1_THEOREM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C0_BASE,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Floor Sum Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C0_BASE,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C0_BASE,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C0_BASE,rcd2_eb91aa0070ccc0db,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,Markov's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gptoss-120b,C0_BASE,rcd2_2065ad2dc59855ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gptoss-120b,C3_HYBRID_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C0_BASE,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_399e8381b2d5ea24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_399e8381b2d5ea24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C0_BASE,rcd2_d66442c4f7118b9f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Stokes' Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),Multiplication Rule for Conditional Probability
+gptoss-120b,C1_THEOREM_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gptoss-120b,C3_HYBRID_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gptoss-120b,C0_BASE,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Markov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b21d61526f25ff7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_b21d61526f25ff7e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b21d61526f25ff7e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-120b,C0_BASE,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c65ca9806806e914,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c65ca9806806e914,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C0_BASE,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-120b,C0_BASE,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b58d6c04ec8be979,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C0_BASE,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C0_BASE,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf070042855b205a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Taylor's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac77d5a441f1e417,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac77d5a441f1e417,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C0_BASE,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8e63f16602a3555,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8e63f16602a3555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-120b,C0_BASE,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_6273117847e8b39d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C0_BASE,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a61166594d73c73d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C0_BASE,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Multiplication Rule for Conditional Probability
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-120b,C0_BASE,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_85b615da766c0f0a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_85b615da766c0f0a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_85b615da766c0f0a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-120b,C0_BASE,rcd2_9bf9d2830f83d8c8,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C0_BASE,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_798bd702daf02eba,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2461b0407b1aa21b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2461b0407b1aa21b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2461b0407b1aa21b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C0_BASE,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_932a9f593481f1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_932a9f593481f1f6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C0_BASE,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C0_BASE,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-120b,C0_BASE,rcd2_c196384a29209dbe,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Whitehead's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Whitehead's lemma
+gptoss-120b,C0_BASE,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1741c93238e99b4e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Jørgensen's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9cea7b34af7aa242,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gaussian concentration inequality for norm
+gptoss-120b,C3_HYBRID_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-120b,C0_BASE,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C0_BASE,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e24a9ab500e2476,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e24a9ab500e2476,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C0_BASE,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener’s theorem on Fourier coefficients
+gptoss-120b,C1_THEOREM_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61188a7f5a5f913a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C0_BASE,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9330e4e163980fed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9330e4e163980fed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-120b,C0_BASE,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2465778485baff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C0_BASE,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-120b,C0_BASE,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-120b,C0_BASE,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Fundamental theorem of line integrals
+gptoss-120b,C1_THEOREM_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Fundamental theorem of line integrals
+gptoss-120b,C3_HYBRID_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C0_BASE,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cc49b13c94c52052,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cc49b13c94c52052,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C0_BASE,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace principle (essential infimum)
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-120b,C0_BASE,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2195a70ec794a6a9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f7ab720779f8269b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,Fernique's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f7ab720779f8269b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,Fernique's theorem
+gptoss-120b,C0_BASE,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C0_BASE,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2dba4a0470e3814,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2dba4a0470e3814,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C0_BASE,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9965e29bf7704ec5,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C0_BASE,rcd2_86b0c56b8ac175d1,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C0_BASE,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-120b,C0_BASE,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's Equation
+gptoss-120b,C1_THEOREM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C0_BASE,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-120b,C1_THEOREM_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-120b,C3_HYBRID_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-120b,C0_BASE,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_62b414b9d18b3dd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C0_BASE,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-120b,C0_BASE,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-120b,C0_BASE,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b81291ea2f3f8929,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b81291ea2f3f8929,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aab6f364324e2818,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Van den Berg–Kesten inequality
+gptoss-120b,C0_BASE,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,McKay conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,McKay conjecture
+gptoss-120b,C0_BASE,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-120b,C0_BASE,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-120b,C0_BASE,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+gptoss-120b,C0_BASE,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-120b,C0_BASE,rcd2_af3f970c00253080,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin-Rees Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C0_BASE,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-120b,C0_BASE,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_020dfc2462e1c4b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C0_BASE,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C0_BASE,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C0_BASE,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C0_BASE,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C0_BASE,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e0ea5be342965139,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-120b,C0_BASE,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01f884b566f4801a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C0_BASE,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3d2097ea21807fcf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3d2097ea21807fcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C0_BASE,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-120b,C0_BASE,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C0_BASE,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C0_BASE,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality (union bound)
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gptoss-120b,C0_BASE,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C0_BASE,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e41c36c446bdf551,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Abel's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_921a76f6edb470bb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,Mean Value Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-120b,C0_BASE,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_966db01a49c289fb,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_966db01a49c289fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Bertrand's Postulate
+gptoss-120b,C3_HYBRID_RAG,rcd2_966db01a49c289fb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gptoss-120b,C0_BASE,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C0_BASE,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-120b,C0_BASE,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bba38e27fb61a0b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-120b,C0_BASE,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-120b,C0_BASE,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-120b,C0_BASE,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C0_BASE,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-120b,C0_BASE,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9ba8f667c7f84eef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C0_BASE,rcd2_2157838478ca50db,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,Countable Subadditivity of Probability Measure
+gptoss-120b,C1_THEOREM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2157838478ca50db,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-120b,C0_BASE,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-120b,C0_BASE,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_933d1f7c4a570618,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-120b,C0_BASE,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ade69f2fe4b188c6,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_914ba9e86b167a6d,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C1_THEOREM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_041f731cd54aaa3f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C3_HYBRID_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-120b,C0_BASE,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-120b,C0_BASE,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-120b,C0_BASE,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19a65c1daf3586a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gptoss-120b,C3_HYBRID_RAG,rcd2_19a65c1daf3586a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C0_BASE,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34a380b8d5e4a737,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-120b,C0_BASE,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C0_BASE,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C0_BASE,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-120b,C0_BASE,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_52f5c8ef79bb0d67,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-120b,C0_BASE,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C0_BASE,rcd2_1125bb34b24596e3,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C0_BASE,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-120b,C0_BASE,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C0_BASE,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C0_BASE,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-120b,C0_BASE,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7a342fd7d865d7d,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Fine and Wilf's theorem
+gptoss-120b,C0_BASE,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C1_THEOREM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C0_BASE,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C0_BASE,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C0_BASE,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6151f6b035c13da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6151f6b035c13da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C0_BASE,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d688439786af3bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d688439786af3bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-120b,C0_BASE,rcd2_6631bf8f668d1b46,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-120b,C0_BASE,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C0_BASE,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C0_BASE,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,Set separation characterizes inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-120b,C0_BASE,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2584a59ed2dda73e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2584a59ed2dda73e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C0_BASE,rcd2_fd594362b7e46094,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd594362b7e46094,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C0_BASE,rcd2_9c44462f20de09b1,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's Lemma (Laplace Principle)
+gptoss-120b,C3_HYBRID_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-120b,C0_BASE,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C0_BASE,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-120b,C0_BASE,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-120b,C0_BASE,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-120b,C0_BASE,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-120b,C0_BASE,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e0d71b0af25de4fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Nullity theorem
+gptoss-120b,C0_BASE,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2440b0622d7ef1e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-120b,C0_BASE,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3b3df24cf201b86,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3b3df24cf201b86,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C0_BASE,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-120b,C0_BASE,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C0_BASE,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8c52647fa2a4dd41,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C0_BASE,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_81c9a8f9342760d0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C0_BASE,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-120b,C0_BASE,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-120b,C0_BASE,rcd2_de7b936da0b2d977,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_de7b936da0b2d977,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_de7b936da0b2d977,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,n! conjecture
+gptoss-120b,C0_BASE,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C0_BASE,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C0_BASE,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-120b,C0_BASE,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_db888f2b9c2f6445,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_da425914fdcfab0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_da425914fdcfab0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-120b,C0_BASE,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9563b3e84bb19824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9563b3e84bb19824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C0_BASE,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C0_BASE,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-120b,C0_BASE,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C0_BASE,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+gptoss-120b,C0_BASE,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C0_BASE,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-120b,C0_BASE,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-120b,C0_BASE,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C0_BASE,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C1_THEOREM_RAG,rcd2_85b60f83c70c950f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C3_HYBRID_RAG,rcd2_85b60f83c70c950f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C0_BASE,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-120b,C0_BASE,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-120b,C0_BASE,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C0_BASE,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C1_THEOREM_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7585478edbd6d0c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-120b,C0_BASE,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C0_BASE,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C0_BASE,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-120b,C0_BASE,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C0_BASE,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C0_BASE,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-120b,C0_BASE,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-120b,C0_BASE,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b2d7a71a952e771c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-120b,C0_BASE,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-120b,C0_BASE,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gptoss-120b,C0_BASE,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-120b,C0_BASE,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-120b,C0_BASE,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-120b,C0_BASE,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-120b,C0_BASE,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C0_BASE,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-120b,C0_BASE,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gptoss-120b,C0_BASE,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+gptoss-120b,C0_BASE,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-120b,C0_BASE,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-120b,C0_BASE,rcd2_5f13fad1a0c4cb34,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C0_BASE,rcd2_737e7a1095d0606b,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-120b,C0_BASE,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-120b,C0_BASE,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-120b,C0_BASE,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-120b,C0_BASE,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39f2d598e043ba48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39f2d598e043ba48,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-120b,C0_BASE,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e73c668286c8e7e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e73c668286c8e7e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-120b,C0_BASE,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,BRUN_TITCHMARSH
+gptoss-120b,C1_THEOREM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_933f4f9ba8f494a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C0_BASE,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds Transport Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-120b,C1_THEOREM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-120b,C3_HYBRID_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-120b,C0_BASE,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-120b,C0_BASE,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey‑Stick Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_63abd39b034fdec8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C0_BASE,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47325fe0d2beb9c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47325fe0d2beb9c9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-120b,C0_BASE,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-120b,C0_BASE,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski inequality for mixed volumes
+gptoss-120b,C1_THEOREM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski mixed volume inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-120b,C0_BASE,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C0_BASE,rcd2_dc89fc01824c8f34,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet-Cauchy identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gptoss-120b,C0_BASE,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C0_BASE,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9e94669458c1bfc0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi Triple Product
+gptoss-120b,C1_THEOREM_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9e94669458c1bfc0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,[],[],,Jacobi Triple Product
+gptoss-120b,C3_HYBRID_RAG,rcd2_9e94669458c1bfc0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Jacobi triple product
+gptoss-120b,C0_BASE,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2ae77902a37e5439,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C0_BASE,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C1_THEOREM_RAG,rcd2_50b6391773166e37,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gptoss-120b,C3_HYBRID_RAG,rcd2_50b6391773166e37,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-120b,C0_BASE,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-120b,C0_BASE,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess bound for character sums
+gptoss-120b,C3_HYBRID_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C0_BASE,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-120b,C0_BASE,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C0_BASE,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-120b,C0_BASE,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3633d058ec15608c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3633d058ec15608c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-120b,C0_BASE,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-120b,C0_BASE,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C0_BASE,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,Lamé's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_86d3f5f0ac797f18,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,Lamé's theorem
+gptoss-120b,C0_BASE,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-120b,C0_BASE,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_085b25c77e5a116b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,q-Vandermonde identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_085b25c77e5a116b,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5775b0cdd83a44c,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_673474bd6517e3b2,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,Countable Subadditivity of Probability
+gptoss-120b,C1_THEOREM_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_673474bd6517e3b2,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,Countable Subadditivity of Probability
+gptoss-120b,C3_HYBRID_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-120b,C0_BASE,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-120b,C0_BASE,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a79bc5ce30756026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a79bc5ce30756026,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C0_BASE,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization Identity (real part)
+gptoss-120b,C1_THEOREM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+gptoss-120b,C0_BASE,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-120b,C0_BASE,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_96b57d8e36fa706f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C0_BASE,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' Inequality (Non‑negativity of KL divergence)
+gptoss-120b,C1_THEOREM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality (non‑negativity of KL divergence)
+gptoss-120b,C3_HYBRID_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C0_BASE,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d62c97fba729c3f0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d62c97fba729c3f0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-120b,C0_BASE,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gptoss-120b,C1_THEOREM_RAG,rcd2_89c6dc0e4977804c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Dini test,Dini test
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gptoss-120b,C3_HYBRID_RAG,rcd2_89c6dc0e4977804c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dini test,Dini test
+gptoss-120b,C0_BASE,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-120b,C0_BASE,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-120b,C0_BASE,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-120b,C3_HYBRID_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-120b,C0_BASE,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C0_BASE,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eaef315dd90ea15c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eaef315dd90ea15c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-120b,C0_BASE,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C0_BASE,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f0409e23e3a57028,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-120b,C0_BASE,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-120b,C0_BASE,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ca9f78da5f076245,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ca9f78da5f076245,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-120b,C0_BASE,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C0_BASE,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_59c0e8593d1d0c94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-120b,C0_BASE,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-120b,C0_BASE,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fee177792ae064ee,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]",[],,Duffin–Schaeffer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fee177792ae064ee,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]",[],,Duffin–Schaeffer theorem
+gptoss-120b,C0_BASE,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-120b,C0_BASE,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ebb7ef80087ca749,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ebb7ef80087ca749,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-120b,C0_BASE,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C0_BASE,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3f617ec8731f660a,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C0_BASE,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-120b,C0_BASE,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-120b,C0_BASE,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-120b,C0_BASE,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-120b,C0_BASE,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-120b,C0_BASE,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-120b,C0_BASE,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,WIGNER_ECKART_THEOREM
+gptoss-120b,C1_THEOREM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-120b,C0_BASE,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e9cc05ca252f26b0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-120b,C0_BASE,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0df2a2bca5533c02,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C0_BASE,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-120b,C0_BASE,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1104b6afd1528fc9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1104b6afd1528fc9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gptoss-120b,C0_BASE,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C0_BASE,rcd2_47a0d8aeefafd46a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Reynolds Transport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_47a0d8aeefafd46a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Reynolds transport theorem
+gptoss-120b,C0_BASE,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Binomial Sum Identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Binomial sum identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C0_BASE,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-120b,C0_BASE,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-120b,C0_BASE,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Stochastic Exponential of a Continuous Local Martingale
+gptoss-120b,C1_THEOREM_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C0_BASE,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C0_BASE,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-120b,C0_BASE,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-120b,C0_BASE,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b820a81edca1626,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d46366b211cf04c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d46366b211cf04c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d46366b211cf04c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-120b,C0_BASE,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b42ccc9944097d26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-120b,C0_BASE,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Hölder's inequality (product form)
+gptoss-120b,C3_HYBRID_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C0_BASE,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-120b,C0_BASE,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a19e551d25cf6be7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-120b,C0_BASE,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-120b,C0_BASE,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d78913a50028459f,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-120b,C0_BASE,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8f27d2bd238554b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-120b,C0_BASE,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-120b,C0_BASE,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c748ef21ea98e68a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Isolation lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b5be8ba8b14f81c2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (Orbit‑Counting Theorem)
+gptoss-120b,C1_THEOREM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (Cauchy‑Frobenius)
+gptoss-120b,C3_HYBRID_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-120b,C0_BASE,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ad050d2f4a4c223c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ad050d2f4a4c223c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C0_BASE,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C0_BASE,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c7449eeefa9e5a55,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-120b,C0_BASE,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's Rule
+gptoss-120b,C1_THEOREM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C0_BASE,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-120b,C0_BASE,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd9b90ab1974a382,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_421a720d753a2c32,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_WITNESS_ENCODING""]",[],,Wigner–Eckart theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-120b,C0_BASE,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-120b,C0_BASE,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER"", ""OTHER"", ""OTHER""]",[],,Goldbach's weak conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado bound
+gptoss-120b,C1_THEOREM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C0_BASE,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-120b,C0_BASE,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality (one-sided Chebyshev)
+gptoss-120b,C3_HYBRID_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C0_BASE,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C0_BASE,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,No-deleting theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,No-deleting theorem
+gptoss-120b,C0_BASE,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24f4c0e266b95061,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24f4c0e266b95061,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C0_BASE,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_544de3a8d329d8f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_544de3a8d329d8f7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-120b,C0_BASE,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c58911d821657cf3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,Minkowski's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c58911d821657cf3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,Minkowski's theorem
+gptoss-120b,C0_BASE,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9796c5eb59708d18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9796c5eb59708d18,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-120b,C0_BASE,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-120b,C0_BASE,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4bde718f76cbf395,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]",[],,Pólya–Szegő inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-120b,C0_BASE,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6902297255aee68d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-120b,C0_BASE,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e95355111f622553,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-120b,C0_BASE,rcd2_2d644345eebc9aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2d644345eebc9aa7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gptoss-120b,C0_BASE,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45b050d2ab02e31a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-120b,C0_BASE,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72d4aaccbf09b00b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a25af218409efa28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a25af218409efa28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-120b,C0_BASE,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-120b,C0_BASE,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_828eb294f101a58b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_828eb294f101a58b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-120b,C0_BASE,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-120b,C0_BASE,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a27bbab42c32790a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e15c16605b7d5e86,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Algorithmic Lovász local lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d5cb806e4ed67894,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Turán–Kubilius inequality
+gptoss-120b,C0_BASE,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Hockey-stick identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING""]",[],,Hockey-stick identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hockey-Stick Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Hockey-stick identity
+gptoss-120b,C0_BASE,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-120b,C0_BASE,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-120b,C0_BASE,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-120b,C0_BASE,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-120b,C0_BASE,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-120b,C0_BASE,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-120b,C0_BASE,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-120b,C0_BASE,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-120b,C0_BASE,rcd2_a963b2e62fedf1f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a963b2e62fedf1f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-120b,C0_BASE,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-120b,C0_BASE,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-120b,C0_BASE,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-120b,C0_BASE,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-120b,C0_BASE,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-120b,C0_BASE,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-120b,C0_BASE,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gptoss-120b,C1_THEOREM_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's Rule (component form)
+gptoss-120b,C3_HYBRID_RAG,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gptoss-120b,C0_BASE,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-120b,C0_BASE,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e37a685c1f8d26fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-120b,C0_BASE,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-120b,C0_BASE,rcd2_d8ff045cfcb20686,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d8ff045cfcb20686,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-120b,C0_BASE,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-120b,C0_BASE,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-120b,C0_BASE,rcd2_8f4ac1f43ea87272,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-120b,C0_BASE,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a2f359f7b29417ef,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-120b,C0_BASE,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0260013d7872f8dd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0260013d7872f8dd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-120b,C0_BASE,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-120b,C0_BASE,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-120b,C0_BASE,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert Lemma (Sobolev approximation)
+gptoss-120b,C1_THEOREM_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C0_BASE,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f5874bb9cf0f0400,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_f37576059ed3476f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-120b,C0_BASE,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_030f2109906efc1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_030f2109906efc1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C0_BASE,rcd2_f0ab35299e26b591,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f0ab35299e26b591,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f0ab35299e26b591,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-120b,C0_BASE,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4a3d719d57f786c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-120b,C0_BASE,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Non‑negativity of Kullback‑Leibler divergence
+gptoss-120b,C1_THEOREM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-120b,C0_BASE,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C0_BASE,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-120b,C0_BASE,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e5312cb8830b8634,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-120b,C0_BASE,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+gptoss-120b,C0_BASE,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Fundamental theorem for line integrals
+gptoss-120b,C1_THEOREM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-120b,C0_BASE,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-120b,C0_BASE,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C1_THEOREM_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-120b,C3_HYBRID_RAG,rcd2_389bf01ea0c097b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+gptoss-120b,C0_BASE,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dbef72863679bbf3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-120b,C0_BASE,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-120b,C0_BASE,rcd2_57870989e5abbfb1,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Binomial Inversion Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-120b,C0_BASE,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47028f0d3e750a6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-120b,C0_BASE,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39b812435cf06b92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C0_BASE,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cd6052f6b009b230,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]",[],,Wigner‑Eckart theorem
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_67e7057310b53514,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_67e7057310b53514,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-120b,C0_BASE,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-120b,C0_BASE,rcd2_66a18577eaaa0f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_66a18577eaaa0f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_66a18577eaaa0f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's Identity
+gptoss-120b,C3_HYBRID_RAG,rcd2_66a18577eaaa0f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Dixon's identity
+gptoss-120b,C0_BASE,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-120b,C0_BASE,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-120b,C0_BASE,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e80f9685d9e7794c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-120b,C0_BASE,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-120b,C0_BASE,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C0_BASE,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-120b,C0_BASE,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-120b,C0_BASE,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C1_THEOREM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-120b,C0_BASE,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_058f00032d0afb16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,Uniform limit theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_058f00032d0afb16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,Uniform limit theorem
+gptoss-120b,C0_BASE,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+gptoss-120b,C0_BASE,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-120b,C0_BASE,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-120b,C0_BASE,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1acef4f209cbef98,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kruskal's tree theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_56e6cdff355af28a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_56e6cdff355af28a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-120b,C0_BASE,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6f4649aa2503e351,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,Equality via predicate extensionality
+gptoss-120b,C3_HYBRID_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-120b,C0_BASE,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_f6f1fee2f08c5cd5,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-120b,C0_BASE,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-120b,C0_BASE,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ab93f78ae0f37c73,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-120b,C0_BASE,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis‑Whitney inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-120b,C0_BASE,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-120b,C0_BASE,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-120b,C0_BASE,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_addc1b82bbd94b75,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_1a24d95e57d454c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gptoss-120b,C0_BASE,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Basic max inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-120b,C0_BASE,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-120b,C0_BASE,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING"", ""OTHER""]",[],,Carleman's condition
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_976bf589ef5ed4ec,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Carleman's condition
+gptoss-120b,C0_BASE,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-120b,C0_BASE,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-120b,C0_BASE,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-120b,C0_BASE,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-120b,C0_BASE,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gptoss-120b,C1_THEOREM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_a28f16dde5ea01ac,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-120b,C0_BASE,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson's constant term identity
+gptoss-120b,C1_THEOREM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-120b,C0_BASE,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C3_HYBRID_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+gptoss-120b,C0_BASE,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-120b,C0_BASE,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-120b,C0_BASE,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-120b,C0_BASE,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C0_BASE,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C1_THEOREM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities (elementary symmetric and power sums)
+gptoss-120b,C3_HYBRID_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-120b,C0_BASE,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C0_BASE,rcd2_5beaf2b2455ca557,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C3_HYBRID_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-120b,C0_BASE,rcd2_499576d936d45b2e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_499576d936d45b2e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,Reverse triangle inequality
+gptoss-120b,C3_HYBRID_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-120b,C0_BASE,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-120b,C0_BASE,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_af28ee9857cf2819,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_af28ee9857cf2819,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-120b,C0_BASE,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-120b,C0_BASE,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-120b,C0_BASE,rcd2_71da5cf19875ae02,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Extensionality of elements via subsets
+gptoss-120b,C1_THEOREM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-120b,C0_BASE,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ef1fb1028768aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-120b,C0_BASE,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C1_THEOREM_RAG,rcd2_e81b7cf12baffec3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gptoss-120b,C3_HYBRID_RAG,rcd2_e81b7cf12baffec3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-120b,C0_BASE,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-120b,C0_BASE,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-120b,C1_THEOREM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-120b,C3_HYBRID_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-120b,C0_BASE,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_fd42dbb90eb5039c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-120b,C0_BASE,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gptoss-120b,C1_THEOREM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gptoss-120b,C3_HYBRID_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-120b,C0_BASE,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C1_THEOREM_RAG,rcd2_5baef606e056d476,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gptoss-120b,C3_HYBRID_RAG,rcd2_5baef606e056d476,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-120b,C0_BASE,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C0_BASE,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C1_THEOREM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C2_TRANSFORM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-120b,C3_HYBRID_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C0_BASE,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-20b,C0_BASE,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C0_BASE,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0a5c01f4782cae7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C0_BASE,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué-Dupuis variational formula
+gptoss-20b,C3_HYBRID_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C0_BASE,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C0_BASE,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C0_BASE,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C0_BASE,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-binomial coefficient convolution identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-binomial coefficient identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C0_BASE,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C1_THEOREM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C3_HYBRID_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C0_BASE,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C0_BASE,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C0_BASE,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C0_BASE,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+gptoss-20b,C0_BASE,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C0_BASE,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b8c17a5b206ba08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+gptoss-20b,C0_BASE,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C1_THEOREM_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C3_HYBRID_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C0_BASE,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9acb92f9d30c46c1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C0_BASE,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C0_BASE,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74a6b64914341a33,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C0_BASE,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-20b,C0_BASE,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities for elementary symmetric polynomials
+gptoss-20b,C1_THEOREM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6bbf80a104b58d7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C0_BASE,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C0_BASE,rcd2_f00173161e99d273,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f00173161e99d273,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C0_BASE,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e102fb4e28812817,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C0_BASE,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ecfc438fcf52443,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C0_BASE,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C0_BASE,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C0_BASE,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C0_BASE,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C0_BASE,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C0_BASE,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C0_BASE,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Kolmogorov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Kolmogorov's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_72ee534b2b5f253c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kolmogorov's inequality
+gptoss-20b,C0_BASE,rcd2_15a9ecb28deead8c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's inequality for mixed volumes
+gptoss-20b,C1_THEOREM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_15a9ecb28deead8c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,Mixed volume inequality (Alexandrov–Fenchel)
+gptoss-20b,C3_HYBRID_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C0_BASE,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+gptoss-20b,C0_BASE,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-20b,C0_BASE,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1234f345bfb59706,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1234f345bfb59706,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C0_BASE,rcd2_1e3f0a2a23275da4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C0_BASE,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_249b198b4c58de68,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C0_BASE,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3da7d23001f0ab84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3da7d23001f0ab84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C0_BASE,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C0_BASE,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C0_BASE,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7378785f670bb408,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C0_BASE,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01ebb063bcab1202,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01ebb063bcab1202,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C0_BASE,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+gptoss-20b,C0_BASE,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f18fc5ba4c266d89,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f18fc5ba4c266d89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C0_BASE,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_770418179df8594f,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_770418179df8594f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]",[],,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9acada7511c3ae4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hadamard's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Subgaussian tail bound
+gptoss-20b,C1_THEOREM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4523fcad08f2e5e3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C0_BASE,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's Identities
+gptoss-20b,C1_THEOREM_RAG,rcd2_5382ea62265d4fe5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C3_HYBRID_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C0_BASE,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_098d8aa78120bd60,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_098d8aa78120bd60,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C0_BASE,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_099df776f4c70b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C0_BASE,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d3deaa614f51dc6f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+gptoss-20b,C0_BASE,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Sum of binomial coefficients identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C0_BASE,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a200670a24462239,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C0_BASE,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+gptoss-20b,C0_BASE,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1f6e409da9bc1263,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1f6e409da9bc1263,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-20b,C0_BASE,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Kneser's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7648dd35a6df9b3e,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b53de7c5537125c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C0_BASE,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C0_BASE,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C0_BASE,rcd2_8dcd19440a5ce6d6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C0_BASE,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_be5b5ebc11138a01,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-20b,C0_BASE,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_650f35e54a8bb5b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C0_BASE,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c096e256757a549c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,Andreotti–Grauert theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c096e256757a549c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C0_BASE,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_183027ef6a5ef749,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_183027ef6a5ef749,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C0_BASE,rcd2_b80fe96bcaf2307c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+gptoss-20b,C0_BASE,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials on the unit circle
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a0b6be56423af08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-20b,C0_BASE,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C0_BASE,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_324ff96cf75dd968,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Stokes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e7fb865d1229604,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e7fb865d1229604,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C0_BASE,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b46640b6330a25d9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Lagrange identity for 16 squares
+gptoss-20b,C3_HYBRID_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C0_BASE,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2215867f5b04b84b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_758c8e2ae4f3ef92,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C0_BASE,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C0_BASE,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b89a3a2e3711068,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C0_BASE,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_590978db48738271,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_590978db48738271,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C0_BASE,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-20b,C0_BASE,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43a65514b5262e6d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43a65514b5262e6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-20b,C0_BASE,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,Siegel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe53e02e7daeaa9f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+gptoss-20b,C0_BASE,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Discrete Summation by Parts
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd6f4a99d1951f9a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C0_BASE,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57a5f2589fa4e2b4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-20b,C0_BASE,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a38b90be817fd616,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+gptoss-20b,C0_BASE,rcd2_99e1d5493d122775,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Laplace's principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_99e1d5493d122775,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_99e1d5493d122775,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f4d48659a54a9d8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-20b,C0_BASE,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C0_BASE,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+gptoss-20b,C0_BASE,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gptoss-20b,C0_BASE,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61966bc90de6f96a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C0_BASE,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_38b6b09f6624cea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38b6b09f6624cea6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6bb1f1ce0c42b297,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C0_BASE,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0472fd45164da7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C0_BASE,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+gptoss-20b,C0_BASE,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec27ef9f12407d2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-20b,C0_BASE,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem with remainder
+gptoss-20b,C3_HYBRID_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C0_BASE,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C0_BASE,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C0_BASE,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C0_BASE,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+gptoss-20b,C0_BASE,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e05e6e971afe70b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e05e6e971afe70b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C0_BASE,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C0_BASE,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C0_BASE,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb75073fa4d523df,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+gptoss-20b,C0_BASE,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C0_BASE,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74fc124ba71fe3bd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C0_BASE,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_267a3499e0b79072,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_267a3499e0b79072,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C0_BASE,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0114e08515e297e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0114e08515e297e6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C0_BASE,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+gptoss-20b,C0_BASE,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f9eae4086a59844,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C0_BASE,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+gptoss-20b,C0_BASE,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47254b34490cf471,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47254b34490cf471,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,Cantelli's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+gptoss-20b,C0_BASE,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_29f318412cc27773,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_29f318412cc27773,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C0_BASE,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-20b,C0_BASE,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C0_BASE,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67fbd20ea24f6652,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C0_BASE,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-20b,C0_BASE,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C0_BASE,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+gptoss-20b,C0_BASE,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-20b,C0_BASE,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5953138de8f5c24,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C0_BASE,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C0_BASE,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C0_BASE,rcd2_09d7af8736ffb62b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_09d7af8736ffb62b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C0_BASE,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+gptoss-20b,C0_BASE,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dixon's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8252d8bb9905662a,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma-Hoeffding Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C0_BASE,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Ideal Intersection Property
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C0_BASE,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Stochastic differential equation for X_t
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1475c7366973751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C0_BASE,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C0_BASE,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e119c201ef5b9e2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C0_BASE,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C0_BASE,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C0_BASE,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_15f9f0c82e8661a3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+gptoss-20b,C0_BASE,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C0_BASE,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b8f504013faf3c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C0_BASE,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_280e2c3bbc518dc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8daa1fce235a5972,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Multidimensional Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C0_BASE,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_73a5af48da79d130,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C0_BASE,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2ec218b5561e147b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ec218b5561e147b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-20b,C0_BASE,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_99a5f36f9760e2f8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_99a5f36f9760e2f8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C0_BASE,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed755a0ca774ac56,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed755a0ca774ac56,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C0_BASE,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C0_BASE,rcd2_4e89ca9740ffa424,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2bad49ccaa299d6c,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_742bed15ff6dab00,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-20b,C1_THEOREM_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_742bed15ff6dab00,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,Difference of Squares Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+gptoss-20b,C0_BASE,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C0_BASE,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47813b40db31aeb4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C0_BASE,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee32f1c41e624eb1,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+gptoss-20b,C0_BASE,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C0_BASE,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9a2ca74a72dbc830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C0_BASE,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24ef043809cdebc6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C0_BASE,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C0_BASE,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cebdbd438bcad0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C0_BASE,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10f966779e0a4668,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,Inverse Function Derivative Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+gptoss-20b,C0_BASE,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C0_BASE,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4c4677256e7219ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C0_BASE,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec90574f7fe67a71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec90574f7fe67a71,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C0_BASE,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_666c4a881096a021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,Orlicz–Pettis theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_666c4a881096a021,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_666c4a881096a021,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,Orlicz–Pettis theorem
+gptoss-20b,C0_BASE,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Pascal's rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_700a67dfdbd9946d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C0_BASE,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C0_BASE,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C0_BASE,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67abe8faa2906acb,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4ff69d51c187d2cc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4ff69d51c187d2cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C0_BASE,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a9f7575d7e1b7944,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+gptoss-20b,C0_BASE,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C0_BASE,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C0_BASE,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_8cc03de33c4134cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9ee12cd145de9c24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C0_BASE,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_64a84fa14fa7b249,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C0_BASE,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gptoss-20b,C1_THEOREM_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+gptoss-20b,C3_HYBRID_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C0_BASE,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ea493be0b9aa015,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C0_BASE,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+gptoss-20b,C0_BASE,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C0_BASE,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_32b6f7fa49fb54cd,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C0_BASE,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f7211542e9d2983,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C0_BASE,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C0_BASE,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-20b,C1_THEOREM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-20b,C3_HYBRID_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+gptoss-20b,C0_BASE,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C0_BASE,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C0_BASE,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24d80d4d36782108,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24d80d4d36782108,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C0_BASE,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Thermodynamic identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C0_BASE,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C0_BASE,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2351c47a6717814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-20b,C0_BASE,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39238425ed0b1bed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39238425ed0b1bed,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+gptoss-20b,C0_BASE,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+gptoss-20b,C0_BASE,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,"Re⟨x,y⟩ = ½(∥x+y∥² – ∥x∥² – ∥y∥²)"
+gptoss-20b,C3_HYBRID_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C0_BASE,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C1_THEOREM_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C3_HYBRID_RAG,rcd2_08079f15e4468385,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C0_BASE,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C0_BASE,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+gptoss-20b,C0_BASE,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb8bcdabe524a017,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C0_BASE,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_680356474e4c0615,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C0_BASE,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b11dc25659205be,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,Markov's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+gptoss-20b,C0_BASE,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz-Zippel Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C0_BASE,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d6b6f61bc5bf1885,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C0_BASE,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d773e239e2e4ddd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C0_BASE,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_568d4eb829335103,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C0_BASE,rcd2_e15a9e13f2df41ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e15a9e13f2df41ea,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-20b,C0_BASE,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_50369d21c415ea3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C0_BASE,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C0_BASE,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C0_BASE,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C0_BASE,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C0_BASE,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2633491087ae9974,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Gradient theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2633491087ae9974,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2633491087ae9974,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C0_BASE,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_26bd1eec0d2e1325,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C0_BASE,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_723cf757a16646f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_723cf757a16646f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C0_BASE,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c6b7c69e38ce04eb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C0_BASE,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7abbcee1a3fcde91,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+gptoss-20b,C0_BASE,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b7a3d27efac4aa4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C0_BASE,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C0_BASE,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_77d65605b6131c29,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-20b,C0_BASE,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+gptoss-20b,C0_BASE,rcd2_e76273691be0b259,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C0_BASE,rcd2_634364748a90a118,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Integral of gradient of minimizer less or equal to any competitor
+gptoss-20b,C1_THEOREM_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_634364748a90a118,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C0_BASE,rcd2_948113ba252422c1,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_948113ba252422c1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Doob's martingale inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_948113ba252422c1,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_948113ba252422c1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C0_BASE,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1d460e500f94c730,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-20b,C1_THEOREM_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1d460e500f94c730,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),Multiplication Rule of Probability
+gptoss-20b,C3_HYBRID_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+gptoss-20b,C0_BASE,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,Coupon collector expectation
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C0_BASE,rcd2_7287bdc4e2a4b3c6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+gptoss-20b,C0_BASE,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9221229f6927e058,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C0_BASE,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76ce52916005f7d8,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+gptoss-20b,C0_BASE,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cad0a9213db8c474,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Stokes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C0_BASE,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_952aa210a64a182e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_952aa210a64a182e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,Freiman's theorem
+gptoss-20b,C0_BASE,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+gptoss-20b,C0_BASE,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+gptoss-20b,C0_BASE,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's Postulate
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed9b13e997aa522e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C0_BASE,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_849631bb16675719,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C0_BASE,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+gptoss-20b,C0_BASE,rcd2_756ca1f51135fc19,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_756ca1f51135fc19,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_756ca1f51135fc19,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C0_BASE,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C0_BASE,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C0_BASE,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C0_BASE,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C0_BASE,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee877ca0fe3e960a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee877ca0fe3e960a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C0_BASE,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_038d0726487a858a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C0_BASE,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_25a81df5efdec9b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-20b,C0_BASE,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Binomial Sum Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Combinatorial identity: sum_{i=r}^{n} \binom{i}{r} = \binom{n+1}{r+1}
+gptoss-20b,C3_HYBRID_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C0_BASE,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3603d890199c57a2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3603d890199c57a2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C0_BASE,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b707f2d18b1c7603,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,Egorov's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b707f2d18b1c7603,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b707f2d18b1c7603,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,Egorov's theorem
+gptoss-20b,C0_BASE,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb9dfe3d07526342,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Lifting-the-exponent lemma
+gptoss-20b,C0_BASE,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C0_BASE,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C0_BASE,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bda6f46a48027d50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-20b,C0_BASE,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C0_BASE,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de30a881468d0dc2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+gptoss-20b,C0_BASE,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c115df5ca69d955e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c115df5ca69d955e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c115df5ca69d955e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C0_BASE,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f40743c39794bbb7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C0_BASE,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_137bd49389530c79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_137bd49389530c79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C0_BASE,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ebfeea77f541eed5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C0_BASE,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d98da6e8928a5d71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C0_BASE,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53f75062555041f8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+gptoss-20b,C0_BASE,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C0_BASE,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cc3a4daa4c10e727,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+gptoss-20b,C0_BASE,rcd2_2e15a57bf17f8747,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+gptoss-20b,C0_BASE,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_614f341e01a3dbf4,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C0_BASE,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C0_BASE,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_632ce6ae2a61542d,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_23b6ea248b4d1529,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C0_BASE,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_692ce2fae1d2a99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C0_BASE,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+gptoss-20b,C0_BASE,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9a9f55fef332e85d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9a9f55fef332e85d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-20b,C0_BASE,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C0_BASE,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd692272e550967d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C0_BASE,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_f6837ff58d88c0f4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+gptoss-20b,C0_BASE,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Intersection of ideal powers with submodule
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C0_BASE,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+gptoss-20b,C0_BASE,rcd2_54d0d54ab623cb4d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C0_BASE,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C0_BASE,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C0_BASE,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C0_BASE,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7c33840cee3d7e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C0_BASE,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0347f391dc47e27a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0347f391dc47e27a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C0_BASE,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C0_BASE,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b1768ebca60d16ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C0_BASE,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Sum of floors identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_f3af443a26ec7f27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C0_BASE,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b29094b79c4a298,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-20b,C0_BASE,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1709eed4c16b936e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1709eed4c16b936e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C0_BASE,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C0_BASE,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aee200fbeb9cb443,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C0_BASE,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C0_BASE,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78a5e934e382d75b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C0_BASE,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_20c8243ebed6a3f2,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Milman's reverse Brunn–Minkowski inequality
+gptoss-20b,C0_BASE,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C0_BASE,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_760990843ea025a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C0_BASE,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+gptoss-20b,C0_BASE,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5007a7b18e99098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5007a7b18e99098,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C0_BASE,rcd2_e52ae3cea7763931,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e52ae3cea7763931,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C0_BASE,rcd2_f466eb6313390031,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_FIBER_ENCODING""]",[],,Jacobi Triple Product Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_4de716123c283067,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C0_BASE,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+gptoss-20b,C0_BASE,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+gptoss-20b,C0_BASE,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_22f107839a990c03,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8adce9e68f38ea9f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8adce9e68f38ea9f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+gptoss-20b,C0_BASE,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+gptoss-20b,C0_BASE,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb83f72f83e1e48d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C0_BASE,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d3aea59a89de18e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-20b,C0_BASE,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6d309db7f1ec5026,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C0_BASE,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d428512277484fe4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C0_BASE,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Kuznetsov trace formula
+gptoss-20b,C0_BASE,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24003c96d7a2a2dc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24003c96d7a2a2dc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24003c96d7a2a2dc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C0_BASE,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f5327c01596faa1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-20b,C0_BASE,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Baranyai's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f7f66003e982af3,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f7f66003e982af3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Baranyai's theorem
+gptoss-20b,C0_BASE,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c5ab0196ac8e3fc0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+gptoss-20b,C0_BASE,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C0_BASE,rcd2_9c2d7b83c8d37c21,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9c2d7b83c8d37c21,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C0_BASE,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C0_BASE,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1dd8360b830c0df6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C0_BASE,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C0_BASE,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97c8427a633aa7b1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_97c8427a633aa7b1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C0_BASE,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C0_BASE,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_71db181bd594c0a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Cyclotomic identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's Rule
+gptoss-20b,C1_THEOREM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C0_BASE,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b56843269588bdf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C0_BASE,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_85f7214e4c61fdd5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-20b,C0_BASE,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C0_BASE,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+gptoss-20b,C0_BASE,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d237fab3e60e88d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C0_BASE,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C0_BASE,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C0_BASE,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+gptoss-20b,C0_BASE,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C0_BASE,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff Bound
+gptoss-20b,C1_THEOREM_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a6bda8c5256b3428,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_a6bda8c5256b3428,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+gptoss-20b,C0_BASE,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_284c4e36069f740d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C0_BASE,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fbf68290c9316d3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C0_BASE,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d140174e28ee1376,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C0_BASE,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C0_BASE,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7d8931cab48db1ed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,van der Waerden number upper bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C0_BASE,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c523bdcb28fec188,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C0_BASE,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+gptoss-20b,C0_BASE,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe29b83f296013a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-20b,C0_BASE,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C0_BASE,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bf0832f8f94f777,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C0_BASE,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C0_BASE,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_140a0a59275c058e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C0_BASE,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C1_THEOREM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's Identities
+gptoss-20b,C3_HYBRID_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C0_BASE,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+gptoss-20b,C0_BASE,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d8c0670d4f03b48,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d8c0670d4f03b48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-20b,C0_BASE,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C0_BASE,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4c656adde11cce84,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+gptoss-20b,C0_BASE,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-20b,C0_BASE,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C0_BASE,rcd2_b774d9f88a081ec4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Projection Error Bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C0_BASE,rcd2_11e20257a0343a39,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11e20257a0343a39,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C0_BASE,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f476df9c0195810f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f476df9c0195810f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-20b,C0_BASE,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+gptoss-20b,C0_BASE,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C0_BASE,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1522c1604ce63b02,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1522c1604ce63b02,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]",[],,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_15d99cc07a09b062,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C0_BASE,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2db97c67f9117372,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C0_BASE,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa82f501ce247ee4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C0_BASE,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1121d7f9c170e80f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C0_BASE,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a0db399d494d6cc3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,Inequality of ΔδT and 0
+gptoss-20b,C3_HYBRID_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C0_BASE,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+gptoss-20b,C0_BASE,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bcb6b491db2cf325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C0_BASE,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa4ff5680134fac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa4ff5680134fac4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C0_BASE,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C0_BASE,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C0_BASE,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C0_BASE,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9b8f21562034ceac,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C0_BASE,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_233e1c22ab71f448,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C0_BASE,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2412d6b170787f03,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C0_BASE,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_97d36d88d3b74c5d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué-Dupuis Variational Representation
+gptoss-20b,C3_HYBRID_RAG,rcd2_97d36d88d3b74c5d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C0_BASE,rcd2_f95d5f9eda29de92,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f95d5f9eda29de92,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-20b,C0_BASE,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9c3eb0cff1973c09,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0323683fa7cdb075,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C0_BASE,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C0_BASE,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-20b,C0_BASE,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C0_BASE,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C0_BASE,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_257c5e8f1b48073e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C0_BASE,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f47e85457034d84,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's determinant theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f47e85457034d84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C0_BASE,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C0_BASE,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2b54d8c32350571,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2b54d8c32350571,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,Eigenvalue equation
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2b54d8c32350571,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+gptoss-20b,C0_BASE,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_354eefb0b3c95036,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_354eefb0b3c95036,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C0_BASE,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d582b6f48743811,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C0_BASE,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C0_BASE,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C0_BASE,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C0_BASE,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3a5023d67bdabaa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C0_BASE,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C0_BASE,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C0_BASE,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C0_BASE,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_32d46eeb0976b08b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C0_BASE,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Polya Enumeration Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_64066911f7e0436b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C0_BASE,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a49f20f250c3a0bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a49f20f250c3a0bc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C0_BASE,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_948d712cb0d53a3d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_948d712cb0d53a3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C0_BASE,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C0_BASE,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C0_BASE,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e617699330fc909,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C0_BASE,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C0_BASE,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C0_BASE,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Value Function Equals Max Expected Utility
+gptoss-20b,C1_THEOREM_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C0_BASE,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_52c36ead880e3490,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-20b,C0_BASE,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39adc236cdc88c2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C0_BASE,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c28623cbe7005233,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+gptoss-20b,C0_BASE,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,Watson's quintuple product identity
+gptoss-20b,C0_BASE,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C0_BASE,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Entropy less than or equal to cross-entropy
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Cross‑entropy is at least entropy
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C0_BASE,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42dc19e39f12a5e2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42dc19e39f12a5e2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C0_BASE,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C0_BASE,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc406facfa87c6f1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C0_BASE,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d3626908e6c7a4e2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C0_BASE,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_097eac3dbe50fedd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C0_BASE,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Hockey-stick identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58a4ecc1bf09f353,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C0_BASE,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d9a970557c9818a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,Hoeffding's inequality
+gptoss-20b,C0_BASE,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C0_BASE,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C0_BASE,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3951853aba3dc64d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+gptoss-20b,C0_BASE,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e71e8324783bfbd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C0_BASE,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c6baff5744619de,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c6baff5744619de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C0_BASE,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f635bc37077cc843,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C0_BASE,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74a3cc29c414f4c9,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf2dbc3b52d43dc7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C0_BASE,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C0_BASE,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C0_BASE,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b4554633aa4fdf6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,Hurwitz's theorem
+gptoss-20b,C0_BASE,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2937b3bde7d85c0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2937b3bde7d85c0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C0_BASE,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_03ec65b64f40a088,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_03ec65b64f40a088,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C0_BASE,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_851ddeb1ace23c04,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_851ddeb1ace23c04,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-20b,C0_BASE,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc0b3fbb52957df9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C0_BASE,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b86800624469e903,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C3_HYBRID_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C0_BASE,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C0_BASE,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C0_BASE,rcd2_dd323150feaf36a3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials
+gptoss-20b,C1_THEOREM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dd323150feaf36a3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C0_BASE,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_94b3835d843a9bd2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_94b3835d843a9bd2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_94b3835d843a9bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C0_BASE,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C0_BASE,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product for the Riemann Zeta Function
+gptoss-20b,C1_THEOREM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Euler product for Riemann zeta function
+gptoss-20b,C3_HYBRID_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C0_BASE,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_419a52fb6906f864,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_419a52fb6906f864,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C0_BASE,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a91d2b6ab8a35bd7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C0_BASE,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-20b,C0_BASE,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec6b675d0918f946,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C0_BASE,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+gptoss-20b,C0_BASE,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0890c184756195c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C0_BASE,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C0_BASE,rcd2_052024d51ce6cdc8,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C0_BASE,rcd2_d681e3d9b8f77b08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's inequality for polynomials
+gptoss-20b,C3_HYBRID_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+gptoss-20b,C0_BASE,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-20b,C0_BASE,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C0_BASE,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2cf597607883193e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Ahlswede–Khachatrian theorem
+gptoss-20b,C0_BASE,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C0_BASE,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C0_BASE,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3008bad5f97eefe7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-20b,C0_BASE,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C0_BASE,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_cee3925e826249e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-20b,C0_BASE,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C0_BASE,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C0_BASE,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb0aac224f3c9401,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_a8d059727b1a87ff,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a8d059727b1a87ff,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a8d059727b1a87ff,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C0_BASE,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-20b,C0_BASE,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_907e8e62a9b3cc93,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e76865528cf245a2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C0_BASE,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C0_BASE,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+gptoss-20b,C0_BASE,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C0_BASE,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f7dd10464b664bba,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f7dd10464b664bba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f7dd10464b664bba,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C0_BASE,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C0_BASE,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f3f214ae12bb31b9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-20b,C0_BASE,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+gptoss-20b,C0_BASE,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein's inequality for bounded zero-mean variables
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C0_BASE,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+gptoss-20b,C0_BASE,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+gptoss-20b,C0_BASE,rcd2_0083c364bac5c646,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+gptoss-20b,C0_BASE,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C0_BASE,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b07850bf1721e4a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b07850bf1721e4a4,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b07850bf1721e4a4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C0_BASE,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9140ab99617daa3d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C0_BASE,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e8b182682bc94b8b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C0_BASE,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b71fc318aa688e24,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b71fc318aa688e24,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-20b,C0_BASE,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95febd58dc0af42f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C0_BASE,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C0_BASE,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+gptoss-20b,C0_BASE,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Varadhan's lemma
+gptoss-20b,C0_BASE,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+gptoss-20b,C0_BASE,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C0_BASE,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C0_BASE,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+gptoss-20b,C0_BASE,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_68c07787d38d59e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Linearity: L(-v) = -L(v)
+gptoss-20b,C1_THEOREM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_68c07787d38d59e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-20b,C0_BASE,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Etemadi's inequality
+gptoss-20b,C0_BASE,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C0_BASE,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc1719c4880987a0,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C0_BASE,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C0_BASE,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9bd3b5b46d72f032,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f3330baa54a83c2,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C0_BASE,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-20b,C0_BASE,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_44a7c50d61d6d32a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi Sum‑Product Estimate
+gptoss-20b,C1_THEOREM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C0_BASE,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a0adb7309e16abf0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma for Colorings
+gptoss-20b,C1_THEOREM_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a0adb7309e16abf0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma for Functions
+gptoss-20b,C3_HYBRID_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_523a092009c1b1d7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+gptoss-20b,C0_BASE,rcd2_cf34bfd0ced7a71e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf34bfd0ced7a71e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+gptoss-20b,C0_BASE,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_36f3579ab6197755,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Area theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_36f3579ab6197755,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1053f371d5bbc04f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C0_BASE,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C0_BASE,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+gptoss-20b,C0_BASE,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee5a6149c394ff89,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+gptoss-20b,C0_BASE,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_d5dde7b91155a112,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C0_BASE,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0d6efa3d983b13b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C0_BASE,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e674b443191fa3e5,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3dd034df48cf00a9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C0_BASE,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_3283df5361d881cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C0_BASE,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C0_BASE,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_312c7c894ebb0841,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C0_BASE,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4896aaaef9cf8431,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C0_BASE,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d3796675a03efc33,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C0_BASE,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5f78a6caf5fb7b0b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f78a6caf5fb7b0b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f78a6caf5fb7b0b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C0_BASE,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C0_BASE,rcd2_43498570b9f5ed2b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué-Dupuis variational formula
+gptoss-20b,C3_HYBRID_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+gptoss-20b,C0_BASE,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C0_BASE,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C0_BASE,rcd2_17b28f42d0daff3e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_17b28f42d0daff3e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C0_BASE,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e258b6bb675d4a0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e258b6bb675d4a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-20b,C0_BASE,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d6256fe8ae9c0301,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,Romanov's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d6256fe8ae9c0301,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+gptoss-20b,C0_BASE,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C0_BASE,rcd2_3f79c4fbaea8ee80,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f79c4fbaea8ee80,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C0_BASE,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C0_BASE,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d3403565b00e5b14,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C0_BASE,rcd2_68bc150e83fe54ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_68bc150e83fe54ad,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_68bc150e83fe54ad,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_68bc150e83fe54ad,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+gptoss-20b,C0_BASE,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C0_BASE,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23596090158edf6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_23596090158edf6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+gptoss-20b,C0_BASE,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C0_BASE,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+gptoss-20b,C0_BASE,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,w(S) = \sum_{x\in S} w(x)
+gptoss-20b,C3_HYBRID_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C0_BASE,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_31643e59601b7728,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+gptoss-20b,C0_BASE,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C0_BASE,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e9fc170b9b780ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C0_BASE,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C0_BASE,rcd2_95985190ecca4d66,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95985190ecca4d66,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C0_BASE,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+gptoss-20b,C0_BASE,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_944433ba6c355b91,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C0_BASE,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C0_BASE,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dbc514a2f24ac528,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C0_BASE,rcd2_60030e5b63e3af9f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-20b,C1_THEOREM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_60030e5b63e3af9f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-20b,C3_HYBRID_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+gptoss-20b,C0_BASE,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C0_BASE,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_767846360d8c4333,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_767846360d8c4333,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+gptoss-20b,C0_BASE,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fd222614e7fb28cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,v ≤ b
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd222614e7fb28cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+gptoss-20b,C0_BASE,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble-Hilbert Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C0_BASE,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+gptoss-20b,C0_BASE,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_48286380f84af5f6,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cfbb1aa385189c64,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cfbb1aa385189c64,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C0_BASE,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a35351e4016be346,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,Zero distance implies equality
+gptoss-20b,C3_HYBRID_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C0_BASE,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d88e26efcbfd644,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C0_BASE,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C0_BASE,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_33fd191b26a5e871,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Euler product formula for the Riemann zeta function
+gptoss-20b,C3_HYBRID_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb73da85addec97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb73da85addec97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C0_BASE,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90f78859c14cbbbe,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C0_BASE,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ec68cf907459bc64,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec68cf907459bc64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-20b,C0_BASE,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d7dd1072b819ebcb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C0_BASE,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C0_BASE,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_890d38a74ff86e8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+gptoss-20b,C0_BASE,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3609065936e58407,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3609065936e58407,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_3609065936e58407,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C0_BASE,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-20b,C0_BASE,rcd2_e0ec56edf1b74a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e0ec56edf1b74a98,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e0ec56edf1b74a98,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+gptoss-20b,C0_BASE,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cbfbbf21f7af9351,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,Erdős–Szemerédi theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbfbbf21f7af9351,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbfbbf21f7af9351,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C0_BASE,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C1_THEOREM_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+gptoss-20b,C3_HYBRID_RAG,rcd2_411151b88a3e8ef4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+gptoss-20b,C0_BASE,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C0_BASE,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C0_BASE,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C0_BASE,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+gptoss-20b,C0_BASE,rcd2_77281c02683a32a2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_77281c02683a32a2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_77281c02683a32a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-20b,C0_BASE,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d72b30310d558329,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+gptoss-20b,C0_BASE,rcd2_c165c87dc83b14de,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-20b,C0_BASE,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d3f05bc90c34543,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c8461ee86eddb03,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c8461ee86eddb03,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian Isoperimetric Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_517c42360016a53d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C0_BASE,rcd2_d69b6862a9a89c12,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Crooks fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Crooks fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_7587757d52c29b6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C0_BASE,rcd2_55a44ddb5f6fabde,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C0_BASE,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a6311bbbe49ce73c,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Equality of mu(t) and integral
+gptoss-20b,C1_THEOREM_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_52ac27e141145b01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C0_BASE,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C0_BASE,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19c1225e47d56d54,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+gptoss-20b,C0_BASE,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gptoss-20b,C1_THEOREM_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+gptoss-20b,C3_HYBRID_RAG,rcd2_123f14a7f2633b9e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C0_BASE,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C0_BASE,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+gptoss-20b,C0_BASE,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C0_BASE,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+gptoss-20b,C0_BASE,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0127f6912998dda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0127f6912998dda,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C0_BASE,rcd2_a64017c2b02a4ea3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C0_BASE,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac3af4352833ad00,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C0_BASE,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C0_BASE,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b197f365cd76033,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C0_BASE,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e30669bda4940bea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C0_BASE,rcd2_d5df18460cbc8020,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,Separation of distinct elements by a subset
+gptoss-20b,C1_THEOREM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+gptoss-20b,C0_BASE,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Euler product for the Riemann zeta function
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C0_BASE,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2f6b2975524b2f8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C0_BASE,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C0_BASE,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d94dca54eb3f0710,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d94dca54eb3f0710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C0_BASE,rcd2_388ac31b6d540511,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_388ac31b6d540511,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C0_BASE,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6350289756401f51,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C0_BASE,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C0_BASE,rcd2_139791a8e845a3aa,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""OTHER""]",[],,Rank condition for inconsistency
+gptoss-20b,C1_THEOREM_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_139791a8e845a3aa,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Inconsistent linear system condition
+gptoss-20b,C3_HYBRID_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C0_BASE,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C0_BASE,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2045edbbecbd8a44,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+gptoss-20b,C0_BASE,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0f4d369fa758b42,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0f4d369fa758b42,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C0_BASE,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+gptoss-20b,C0_BASE,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d643e1a82c86e5e5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C0_BASE,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f75ec3554dd84866,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+gptoss-20b,C0_BASE,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_93df160222180fd3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C0_BASE,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-20b,C0_BASE,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Cross-entropy inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_5be8fa486a3df452,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C0_BASE,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7e0320fae30d262d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_7e0320fae30d262d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+gptoss-20b,C0_BASE,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e3cb509ebf9ff516,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C0_BASE,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+gptoss-20b,C0_BASE,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C0_BASE,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Gram determinant identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+gptoss-20b,C0_BASE,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz-Zippel Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42507491714c8865,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C0_BASE,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ecf5252812140704,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C0_BASE,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19c07cb5e2729996,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C0_BASE,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Sophie Germain identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_513ee5d5fa6e80ca,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Algebraic identity: x^4+4y^4 = (x^2+2xy+2y^2)(x^2-2xy+2y^2)
+gptoss-20b,C3_HYBRID_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Sophie Germain's identity
+gptoss-20b,C0_BASE,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4ec79913cc3a6f71,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C0_BASE,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_545672e45bb5b356,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+gptoss-20b,C0_BASE,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+gptoss-20b,C0_BASE,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_059ff7760fca7545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C0_BASE,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bcdae22d06e8581,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C0_BASE,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+gptoss-20b,C0_BASE,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Hoeffding's Inequality for Bounded Differences
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C0_BASE,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Determinant identity for I+AB and I+BA
+gptoss-20b,C1_THEOREM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Sylvester's Determinant Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+gptoss-20b,C0_BASE,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C0_BASE,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9b9a92afa64d97f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9b9a92afa64d97f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C0_BASE,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_77e089cdb878a33c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+gptoss-20b,C0_BASE,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C0_BASE,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Joubert's theorem
+gptoss-20b,C0_BASE,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Siegel's lemma
+gptoss-20b,C0_BASE,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C0_BASE,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_471e0fe9ea67bbb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_471e0fe9ea67bbb4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_471e0fe9ea67bbb4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C0_BASE,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_20c601af36168175,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C0_BASE,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff Bound
+gptoss-20b,C1_THEOREM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7400f11bba61556c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C0_BASE,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gptoss-20b,C1_THEOREM_RAG,rcd2_41375a332c163790,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),Kneser's theorem (differential equations)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+gptoss-20b,C3_HYBRID_RAG,rcd2_41375a332c163790,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),Kneser's theorem (differential equations)
+gptoss-20b,C0_BASE,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+gptoss-20b,C0_BASE,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Etemadi's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee78adfb683ee0e3,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-20b,C0_BASE,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f919da2067878c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-20b,C0_BASE,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+gptoss-20b,C0_BASE,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+gptoss-20b,C0_BASE,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+gptoss-20b,C0_BASE,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+gptoss-20b,C0_BASE,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9678baf8091d35df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C0_BASE,rcd2_9b4ec8d2c442e68c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C0_BASE,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Binomial coefficient identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_abfc580d0ff9b97c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-20b,C0_BASE,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b4084de9493facb4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C0_BASE,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C1_THEOREM_RAG,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),First Law of Thermodynamics (reversible)
+gptoss-20b,C3_HYBRID_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C0_BASE,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C0_BASE,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6af3100ebe91b319,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+gptoss-20b,C0_BASE,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8b58ccee5ab5f1e8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-20b,C0_BASE,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66e2c109960877e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66e2c109960877e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+gptoss-20b,C0_BASE,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C0_BASE,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc8f4ec765740b24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+gptoss-20b,C0_BASE,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C0_BASE,rcd2_a33d2b8ea9a34098,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,Determinant identity for AB and BA
+gptoss-20b,C3_HYBRID_RAG,rcd2_a33d2b8ea9a34098,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+gptoss-20b,C0_BASE,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C0_BASE,rcd2_ab54464c52621203,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab54464c52621203,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab54464c52621203,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C0_BASE,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C0_BASE,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C0_BASE,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c62238b8d614cb54,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+gptoss-20b,C0_BASE,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+gptoss-20b,C0_BASE,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe52ce3c0d962c16,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe52ce3c0d962c16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C0_BASE,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C0_BASE,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9a270db8379099c1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C0_BASE,rcd2_4412091170965e01,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Sum of Squares Multiplicativity (8 squares)
+gptoss-20b,C1_THEOREM_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Brahmagupta–Fibonacci identity for 8 squares
+gptoss-20b,C3_HYBRID_RAG,rcd2_4412091170965e01,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C0_BASE,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6974771d988f042,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C0_BASE,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER"", ""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Euler product formula for the Riemann zeta function
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc4bfb7fac90b623,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C0_BASE,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_28ec816d4ab8603c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C0_BASE,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a654532661c8c35e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C0_BASE,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C0_BASE,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C0_BASE,rcd2_850c547721551c95,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Fundamental Thermodynamic Relation
+gptoss-20b,C1_THEOREM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Fundamental thermodynamic relation
+gptoss-20b,C3_HYBRID_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C0_BASE,rcd2_275de04eea35c9fd,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_275de04eea35c9fd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,Polya–Szegő inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C0_BASE,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C0_BASE,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_691cc755f1a93d5a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C0_BASE,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C0_BASE,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson conjecture
+gptoss-20b,C0_BASE,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af0b099bca616ed3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C0_BASE,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fcfe661fdc3aead,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fcfe661fdc3aead,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C0_BASE,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization Identity (Real Part)
+gptoss-20b,C1_THEOREM_RAG,rcd2_b008c0d460b0c578,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Polarization identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity (real part)
+gptoss-20b,C3_HYBRID_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C0_BASE,rcd2_e2aa4bf92abc3fdc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Rouché–Capelli theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2aa4bf92abc3fdc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2aa4bf92abc3fdc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C0_BASE,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+gptoss-20b,C0_BASE,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dda6064ebb91af30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C0_BASE,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi Triple Product Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+gptoss-20b,C0_BASE,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C0_BASE,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-20b,C0_BASE,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+gptoss-20b,C0_BASE,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C0_BASE,rcd2_de5b3e7d4334c211,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de5b3e7d4334c211,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,Polya–Szegő inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C0_BASE,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3750474a51d76f54,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C0_BASE,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1fec499524060e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C0_BASE,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C0_BASE,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C0_BASE,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-20b,C0_BASE,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c975bcb15daabdbe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_c975bcb15daabdbe,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+gptoss-20b,C0_BASE,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Brégman's theorem (Minc's conjecture)
+gptoss-20b,C1_THEOREM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C0_BASE,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d4673509932cb4e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d4673509932cb4e0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C0_BASE,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C0_BASE,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e273e50a5e56f4d5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C0_BASE,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_768aac7be8f4c363,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C0_BASE,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bda5136915527a43,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Fundamental theorem of line integrals
+gptoss-20b,C3_HYBRID_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C0_BASE,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1dd11f73b8117925,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1dd11f73b8117925,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C0_BASE,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_99560e698f57ab3a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C0_BASE,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Pr[A] \le x(A) \prod_{B\in\Gamma(A)} (1 - x(B))
+gptoss-20b,C3_HYBRID_RAG,rcd2_b3880f3d52b86c85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+gptoss-20b,C0_BASE,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f533324a6de5e222,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C0_BASE,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C0_BASE,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b30a476e59a213e1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C0_BASE,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+gptoss-20b,C0_BASE,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e173c5769f0bed8d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Binomial Inversion Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C0_BASE,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ceeabe31a7bce07a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C0_BASE,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C0_BASE,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_01a5ec8a733c6baf,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C0_BASE,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_85f2b7fb846a1e3f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_85f2b7fb846a1e3f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+gptoss-20b,C0_BASE,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_391d8faac86ec551,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_391d8faac86ec551,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C0_BASE,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4958c1685c71da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C0_BASE,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a224e8b53c19b83a,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Diagonal matrix decomposition in SL(2)
+gptoss-20b,C3_HYBRID_RAG,rcd2_a224e8b53c19b83a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C0_BASE,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C0_BASE,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7f75e07c198829ec,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f75e07c198829ec,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C0_BASE,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4249c824540c2276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C0_BASE,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_113bcf81c3648a06,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_113bcf81c3648a06,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C0_BASE,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7235ceb938ed6dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-20b,C0_BASE,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5938d37836ca37f5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5938d37836ca37f5,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+gptoss-20b,C0_BASE,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af47569c9f42aeb9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER"", ""OTHER""]",[],,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de6198d4ab81cc34,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C0_BASE,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a294ca1d5b1a95e9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C0_BASE,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+gptoss-20b,C0_BASE,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_480f1394ca8c8975,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C0_BASE,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_039661508b85f17a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C0_BASE,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,Counting lemma
+gptoss-20b,C0_BASE,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C0_BASE,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+gptoss-20b,C0_BASE,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C1_THEOREM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C3_HYBRID_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C0_BASE,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+gptoss-20b,C0_BASE,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Perron's formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d65e076da662b72,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_656862810de393d1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_656862810de393d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C0_BASE,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_62a87da7b06b464b,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C0_BASE,rcd2_a017934a6be66995,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a017934a6be66995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+gptoss-20b,C0_BASE,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_6591819bbda0c8e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C0_BASE,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+gptoss-20b,C0_BASE,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+gptoss-20b,C0_BASE,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C0_BASE,rcd2_d0d584207fee9601,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+gptoss-20b,C0_BASE,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a7adc8be532ca95a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,Spectral theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a7adc8be532ca95a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+gptoss-20b,C0_BASE,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c8c8b5cd5edab309,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C0_BASE,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3b5e403ccbd3af35,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,Burnside's lemma for functions
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b5e403ccbd3af35,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6448ba8ef14df525,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C0_BASE,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d75835b742e97e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C0_BASE,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6697df450bab002f,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C0_BASE,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C0_BASE,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-20b,C0_BASE,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C0_BASE,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_da6e0955c4d2c33a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,Thue's lemma
+gptoss-20b,C0_BASE,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4e4dcb2a617c194,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+gptoss-20b,C0_BASE,rcd2_56258ee2d948cb5c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C0_BASE,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2382b12ae637256,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-20b,C0_BASE,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_37a962c23fc3058e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C0_BASE,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+gptoss-20b,C0_BASE,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_44e2d7aade481194,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C0_BASE,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c63baa5290a237a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c63baa5290a237a,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c3c1c8030045e5ba,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+gptoss-20b,C0_BASE,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C0_BASE,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd18941bf6e020b8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C0_BASE,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-20b,C1_THEOREM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-20b,C3_HYBRID_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+gptoss-20b,C0_BASE,rcd2_097bb37830923db3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_097bb37830923db3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C0_BASE,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ff4542fceb946969,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_935ac3fdf2b15951,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+gptoss-20b,C0_BASE,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C0_BASE,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gptoss-20b,C1_THEOREM_RAG,rcd2_272310ea22e8e7b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_272310ea22e8e7b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+gptoss-20b,C0_BASE,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a62d47290fda9323,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a62d47290fda9323,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C0_BASE,rcd2_cf3c6c030f638cdc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C0_BASE,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+gptoss-20b,C0_BASE,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_82dff947e83dbd07,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4008dd1c874b265,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+gptoss-20b,C0_BASE,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C0_BASE,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C0_BASE,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90db8f4b8cd03441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90db8f4b8cd03441,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C0_BASE,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's equation
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1f62a8836c2fd88,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C0_BASE,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+gptoss-20b,C0_BASE,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_49468bf94f62a944,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C0_BASE,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C0_BASE,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8cd62835f45e2344,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,Area theorem
+gptoss-20b,C0_BASE,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C0_BASE,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_282ddd610c4121be,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+gptoss-20b,C0_BASE,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C0_BASE,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,Subspace theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,Subspace theorem
+gptoss-20b,C0_BASE,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_967048845364e1f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_967048845364e1f4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+gptoss-20b,C0_BASE,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C0_BASE,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C0_BASE,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34f76b32030fb837,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C0_BASE,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_83f1064588e7fe70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C0_BASE,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb1990578508996c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Little's law,Little's law
+gptoss-20b,C0_BASE,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C0_BASE,rcd2_22d826af043cd6aa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C0_BASE,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C0_BASE,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C0_BASE,rcd2_6cac0d09b1e6be9d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C0_BASE,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C0_BASE,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f01b64f6b85e8879,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f01b64f6b85e8879,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+gptoss-20b,C0_BASE,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C0_BASE,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C0_BASE,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6145c73e83bb9d2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C0_BASE,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_49ed1307e114a1a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49ed1307e114a1a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49ed1307e114a1a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Legendre Polynomial Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_49ed1307e114a1a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+gptoss-20b,C0_BASE,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C0_BASE,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C0_BASE,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d98966094f29c3d3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C0_BASE,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4ceaba2256aef50,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+gptoss-20b,C0_BASE,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d2cebb775cb8f266,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C0_BASE,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,Heegner's lemma
+gptoss-20b,C0_BASE,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C0_BASE,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b41bac78c2cc3496,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b41bac78c2cc3496,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+gptoss-20b,C0_BASE,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_8d39ec158210289b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss sum identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C0_BASE,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C0_BASE,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Vandermonde's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-20b,C0_BASE,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb40bd57454601b2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb40bd57454601b2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb40bd57454601b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C0_BASE,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+gptoss-20b,C0_BASE,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f576b49501370506,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f576b49501370506,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f576b49501370506,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-20b,C0_BASE,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C0_BASE,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9f126c713db902da,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,Bonse's inequality
+gptoss-20b,C0_BASE,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+gptoss-20b,C0_BASE,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C0_BASE,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bc23fed7b4478fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C0_BASE,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C0_BASE,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Brégman's theorem (Minc's conjecture)
+gptoss-20b,C1_THEOREM_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Brégman's theorem (Minc's conjecture)
+gptoss-20b,C3_HYBRID_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C0_BASE,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58fb15c0517e0365,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58fb15c0517e0365,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-20b,C0_BASE,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_33e1c332ed9b118d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C0_BASE,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+gptoss-20b,C0_BASE,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C0_BASE,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a002b4305929b955,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a002b4305929b955,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+gptoss-20b,C0_BASE,rcd2_099ebc6bfb394ff4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C0_BASE,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_05db1eec20fd3815,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,Jørgensen's inequality
+gptoss-20b,C0_BASE,rcd2_18704e558d6f72a0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18704e558d6f72a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_18704e558d6f72a0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+gptoss-20b,C0_BASE,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e76eb95395bfaa9a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C0_BASE,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_965ebde59d450e3f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Sun's curious identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-20b,C0_BASE,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C0_BASE,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24b1ed83b1c0e544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C0_BASE,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff Bound
+gptoss-20b,C1_THEOREM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C0_BASE,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bdb6e042d5211797,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C0_BASE,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C0_BASE,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_31d083bf12326a85,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C0_BASE,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_11a570a33330040f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+gptoss-20b,C0_BASE,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+gptoss-20b,C0_BASE,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's equation
+gptoss-20b,C1_THEOREM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C0_BASE,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1fd441b632a16712,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+gptoss-20b,C0_BASE,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C0_BASE,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_954a0a325b6c0fab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_954a0a325b6c0fab,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+gptoss-20b,C0_BASE,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_535473af68767ad4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C0_BASE,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma-Hoeffding inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc43fec177079186,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C0_BASE,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C0_BASE,rcd2_0645d74f886b867e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,KL divergence non-negativity
+gptoss-20b,C3_HYBRID_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C0_BASE,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-20b,C0_BASE,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C0_BASE,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d0ab27a2efcd4f9,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Difference of Squares Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc394818607c617b,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc394818607c617b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+gptoss-20b,C0_BASE,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity for real part of inner product
+gptoss-20b,C1_THEOREM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Real part of inner product identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_53cbe730fe1eeff7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C0_BASE,rcd2_76f1337a81cca68d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Pascal's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76f1337a81cca68d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Pascal's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+gptoss-20b,C0_BASE,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_27f747fe39062872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C0_BASE,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C0_BASE,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C0_BASE,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_81c496984f84ad89,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C0_BASE,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Gauss's lemma (polynomials)
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dcbad1c47bd3859e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gauss's lemma (polynomials)
+gptoss-20b,C0_BASE,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sum of fourth powers factorization
+gptoss-20b,C1_THEOREM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C0_BASE,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_10eba4e42c35f710,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_10eba4e42c35f710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C0_BASE,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b2ca4f417a508bb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C0_BASE,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+gptoss-20b,C0_BASE,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_945cc8d5d91358a2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C0_BASE,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C0_BASE,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a844a9812f1b6e84,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a844a9812f1b6e84,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a844a9812f1b6e84,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+gptoss-20b,C0_BASE,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+gptoss-20b,C0_BASE,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-20b,C0_BASE,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+gptoss-20b,C0_BASE,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_55fddcf3da6b761b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55fddcf3da6b761b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C0_BASE,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+gptoss-20b,C0_BASE,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dae4b3c7432ca41f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C0_BASE,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6ebdd7266840b928,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6ebdd7266840b928,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6ebdd7266840b928,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C0_BASE,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_471d4653b2ca566b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C0_BASE,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+gptoss-20b,C0_BASE,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C0_BASE,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C0_BASE,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C0_BASE,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C1_THEOREM_RAG,rcd2_809eb1606b4abc2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C3_HYBRID_RAG,rcd2_809eb1606b4abc2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+gptoss-20b,C0_BASE,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc55aa98c64e83f2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc55aa98c64e83f2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc55aa98c64e83f2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C0_BASE,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-20b,C1_THEOREM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-20b,C3_HYBRID_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+gptoss-20b,C0_BASE,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2fc3a110c25bb79,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+gptoss-20b,C0_BASE,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07e2a9f9a49de255,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+gptoss-20b,C0_BASE,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+gptoss-20b,C0_BASE,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-20b,C0_BASE,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_588ea1712adf0a19,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_588ea1712adf0a19,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,Union bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+gptoss-20b,C0_BASE,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_4fe38d3d526d8349,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fe38d3d526d8349,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C0_BASE,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_10b22d6f2547a3e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,Difference of Squares Factorization
+gptoss-20b,C1_THEOREM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,Difference of Squares
+gptoss-20b,C3_HYBRID_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+gptoss-20b,C0_BASE,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b7602ba0d388bfa4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C0_BASE,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5da7ef165ff800e3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5da7ef165ff800e3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+gptoss-20b,C0_BASE,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+gptoss-20b,C0_BASE,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+gptoss-20b,C0_BASE,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a99deca5d584e2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-20b,C0_BASE,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C0_BASE,rcd2_722af4bdc94e6510,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,Bayes' theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_722af4bdc94e6510,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,Bayes' Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+gptoss-20b,C0_BASE,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+gptoss-20b,C0_BASE,rcd2_b2a4d6719c742303,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,Maximum probability bound for binomial sum
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2a4d6719c742303,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2a4d6719c742303,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C0_BASE,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e15660d9614163eb,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C0_BASE,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aba436c467a5e995,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Reverse Brunn-Minkowski Inequality for Linear Images
+gptoss-20b,C3_HYBRID_RAG,rcd2_aba436c467a5e995,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e5e3a43d1299b16,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C0_BASE,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7941eae54953ab9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7941eae54953ab9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+gptoss-20b,C0_BASE,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C0_BASE,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5fa89d377e1a57c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C0_BASE,rcd2_455f721a8f2489fd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C0_BASE,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b07e2335b3c5434,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Pigeonhole principle
+gptoss-20b,C0_BASE,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5604e13f5bda8cc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+gptoss-20b,C0_BASE,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7332a36585688e05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7332a36585688e05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Factorization of x^4+4y^4
+gptoss-20b,C3_HYBRID_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C0_BASE,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a1f91ae720f585a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a1f91ae720f585a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+gptoss-20b,C0_BASE,rcd2_bde311b499ebdb06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_532dbdd0a63c0476,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1a60aab885387a94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a60aab885387a94,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a60aab885387a94,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C0_BASE,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e23199ba2775020,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C0_BASE,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f7af6115a1c1441,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C0_BASE,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dfeca2ade48a5639,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Bruck–Ryser–Chowla theorem
+gptoss-20b,C0_BASE,rcd2_fbca91cac2968b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fbca91cac2968b7b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C0_BASE,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C1_THEOREM_RAG,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+gptoss-20b,C3_HYBRID_RAG,rcd2_6274bbeb00902284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+gptoss-20b,C0_BASE,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8751337729d00930,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Equality of sets via characteristic functions
+gptoss-20b,C1_THEOREM_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Equality of sets via characteristic functions
+gptoss-20b,C3_HYBRID_RAG,rcd2_8751337729d00930,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+gptoss-20b,C0_BASE,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+gptoss-20b,C0_BASE,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C0_BASE,rcd2_dcc77a81881dc9fd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C0_BASE,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,Brauer's theorem on p'-degree characters
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e7544fa0308cb6f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C0_BASE,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental Theorem of Arithmetic (Existence)
+gptoss-20b,C1_THEOREM_RAG,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental Theorem of Arithmetic
+gptoss-20b,C3_HYBRID_RAG,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+gptoss-20b,C0_BASE,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C3_HYBRID_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C0_BASE,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C0_BASE,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+gptoss-20b,C0_BASE,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6bbd506b88f42bcc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C0_BASE,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d490cefb0bb1130e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C0_BASE,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+gptoss-20b,C0_BASE,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C0_BASE,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C0_BASE,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C0_BASE,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_46ea84216709210f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-20b,C0_BASE,rcd2_81d0947b2c828d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Combinatorial identity for sum of binomial cubes
+gptoss-20b,C3_HYBRID_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+gptoss-20b,C0_BASE,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9bc532fdf747294c,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Reciprocity
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C0_BASE,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Interpolation Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C0_BASE,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C0_BASE,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_da268ddca6204a1c,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fdad63a87b9df775,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,Markov's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fdad63a87b9df775,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+gptoss-20b,C0_BASE,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C0_BASE,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_68c6251dac3ab253,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C0_BASE,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa55396e7a68b228,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C0_BASE,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2ac2affe38d22f4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,Azuma's inequality
+gptoss-20b,C0_BASE,rcd2_2b0e43b626063df8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b0e43b626063df8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,Ramanujan's master theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b0e43b626063df8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,Ramanujan's master theorem
+gptoss-20b,C0_BASE,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49c591676dc9cefa,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_49c591676dc9cefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C0_BASE,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C0_BASE,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2fa263315a3976f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C0_BASE,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_decc735c497f3351,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C0_BASE,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1ec90c2cc2eeb89f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf12b9e3240deead,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e107d9746c6b878e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e107d9746c6b878e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C0_BASE,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b4084ae550b26dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,Hensel's lemma
+gptoss-20b,C0_BASE,rcd2_8c40a070bc60595b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,Jacobi identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+gptoss-20b,C0_BASE,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f19c28495a7a9c45,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,Ahlswede–Khachatrian theorem
+gptoss-20b,C0_BASE,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Fundamental Theorem of Line Integrals
+gptoss-20b,C1_THEOREM_RAG,rcd2_1ba34d11172bbc57,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1ba34d11172bbc57,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C0_BASE,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a11ace3716918907,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C0_BASE,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-20b,C0_BASE,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C0_BASE,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C0_BASE,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+gptoss-20b,C0_BASE,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c750863af7dac028,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+gptoss-20b,C0_BASE,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a353a9af95c4895f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C0_BASE,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Combinatorial identity: sum of binomial coefficients
+gptoss-20b,C3_HYBRID_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5ed72a11b9890e90,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C0_BASE,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5de283aabc12eb5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5de283aabc12eb5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-20b,C0_BASE,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+gptoss-20b,C0_BASE,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+gptoss-20b,C0_BASE,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7da2b5cc5ac51685,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Golden–Thompson inequality
+gptoss-20b,C0_BASE,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+gptoss-20b,C0_BASE,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_338164c54fc253cf,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Equivariance of f
+gptoss-20b,C3_HYBRID_RAG,rcd2_338164c54fc253cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C0_BASE,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C0_BASE,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f8624cc27e697cf,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-20b,C0_BASE,rcd2_399272e1d9f6529c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C1_THEOREM_RAG,rcd2_399272e1d9f6529c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_399272e1d9f6529c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C3_HYBRID_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C0_BASE,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C0_BASE,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8c9824c4c90bb513,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C0_BASE,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+gptoss-20b,C0_BASE,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_064bdc489c193261,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_064bdc489c193261,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C0_BASE,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f5c840908d652b13,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f5c840908d652b13,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,"List chromatic number of K_{n,n}"
+gptoss-20b,C1_THEOREM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,"List edge chromatic number of K_{n,n} equals n"
+gptoss-20b,C3_HYBRID_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C0_BASE,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c442f2ec8840e6e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C0_BASE,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+gptoss-20b,C0_BASE,rcd2_cf7d0e71842ae79c,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+gptoss-20b,C0_BASE,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+gptoss-20b,C0_BASE,rcd2_9d4ab1bd41b4534d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C0_BASE,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_db129acb42e793d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C0_BASE,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C0_BASE,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_59ffa794b1b0fc28,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+gptoss-20b,C0_BASE,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+gptoss-20b,C0_BASE,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4cb6986228ff3daa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-20b,C0_BASE,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+gptoss-20b,C0_BASE,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+gptoss-20b,C0_BASE,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+gptoss-20b,C0_BASE,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C0_BASE,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0315a7307fe31636,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+gptoss-20b,C0_BASE,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde Convolution
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+gptoss-20b,C0_BASE,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C0_BASE,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Brunn-Minkowski inequality for random sets
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d5cd037c5142016,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d5cd037c5142016,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+gptoss-20b,C0_BASE,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+gptoss-20b,C0_BASE,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9a6b1a387ebda813,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4455088088ee3b9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b3934d55292fb7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-20b,C0_BASE,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+gptoss-20b,C0_BASE,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_816a334f7186db49,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C0_BASE,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,"List chromatic index of K_{n,n} equals n"
+gptoss-20b,C1_THEOREM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+gptoss-20b,C0_BASE,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Stochastic exponential of a continuous local martingale
+gptoss-20b,C3_HYBRID_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C0_BASE,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C0_BASE,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_b10f5d086a7c4aed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C1_THEOREM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),Product rule of probability
+gptoss-20b,C3_HYBRID_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C0_BASE,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,Arithmetic Mean ≥ Geometric Mean
+gptoss-20b,C1_THEOREM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+gptoss-20b,C0_BASE,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7e3049635da64a19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C0_BASE,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_966aae52c93603bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,Fekete's lemma
+gptoss-20b,C0_BASE,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C3_HYBRID_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C0_BASE,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+gptoss-20b,C0_BASE,rcd2_6a53a4def76f6b55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6a53a4def76f6b55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-20b,C0_BASE,rcd2_7a3dc061b89e715b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a3dc061b89e715b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a3dc061b89e715b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,Nullity theorem
+gptoss-20b,C0_BASE,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c91439a8b8007ad9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,Expander Mixing Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c91439a8b8007ad9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+gptoss-20b,C0_BASE,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+gptoss-20b,C0_BASE,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C0_BASE,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+gptoss-20b,C0_BASE,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_db10902a96b7b3cc,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_db10902a96b7b3cc,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_373778705e282965,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_373778705e282965,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c13646015b80b48c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c13646015b80b48c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,Vitali–Carathéodory theorem
+gptoss-20b,C0_BASE,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C0_BASE,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4cbf983e9f1a396b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-20b,C0_BASE,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C0_BASE,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C0_BASE,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+gptoss-20b,C0_BASE,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00a339cc5d92e99c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+gptoss-20b,C0_BASE,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C0_BASE,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5da63915ee9a539a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,Gell-Mann and Low theorem
+gptoss-20b,C0_BASE,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,Ax ≠ 0
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+gptoss-20b,C0_BASE,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C0_BASE,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f8a8e15a9039133,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C0_BASE,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa497770d8bd57a7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa497770d8bd57a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C0_BASE,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_357ecb3ed435909d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-20b,C0_BASE,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_5c04a70c58722585,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,Golden–Thompson inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5c04a70c58722585,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+gptoss-20b,C0_BASE,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2158997ade2409e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C0_BASE,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b18b4416795d6bdf,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Chevalley–Warning theorem
+gptoss-20b,C0_BASE,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c17767b943792a36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+gptoss-20b,C0_BASE,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bddc14e401da81b2,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bddc14e401da81b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C0_BASE,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_75db26260e8c77f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75db26260e8c77f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75db26260e8c77f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C0_BASE,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C0_BASE,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+gptoss-20b,C0_BASE,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5d1db2c3403f69f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C0_BASE,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b6941789f6881909,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b6941789f6881909,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b6941789f6881909,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0daf444f555983ad,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel Lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+gptoss-20b,C0_BASE,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole Principle
+gptoss-20b,C1_THEOREM_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0da020e185cd0f70,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C0_BASE,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba2835aa40a5e152,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C0_BASE,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3356f870086adeb7,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C0_BASE,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C0_BASE,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C0_BASE,rcd2_7a5d51029339da1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+gptoss-20b,C0_BASE,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-20b,C0_BASE,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+gptoss-20b,C0_BASE,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_93a3e0328467e974,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d146f4d752d85f52,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+gptoss-20b,C0_BASE,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+gptoss-20b,C0_BASE,rcd2_bc76aa03e18c8fe5,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,Countable Subadditivity of Probability
+gptoss-20b,C1_THEOREM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+gptoss-20b,C0_BASE,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C0_BASE,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C0_BASE,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Sum of binomial coefficients identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Combinatorial identity: sum of binomial coefficients
+gptoss-20b,C3_HYBRID_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C0_BASE,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Cassini and Catalan identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]",[],,Cassini and Catalan identities
+gptoss-20b,C0_BASE,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8eb12a694aac79ed,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+gptoss-20b,C0_BASE,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C0_BASE,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C0_BASE,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b39dfc79c77aa66b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+gptoss-20b,C0_BASE,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4465aff701049117,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4465aff701049117,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C0_BASE,rcd2_ebd58781b6721f8f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by Parts
+gptoss-20b,C3_HYBRID_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C0_BASE,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Floor Sum Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_398e11a5aaf0a255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hermite's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Floor sum identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C0_BASE,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1355a711c1bec7a7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Quadratic Gauss Sum Identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C0_BASE,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C0_BASE,rcd2_eb91aa0070ccc0db,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,Markov's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+gptoss-20b,C0_BASE,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2065ad2dc59855ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C0_BASE,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_399e8381b2d5ea24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_399e8381b2d5ea24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C0_BASE,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),Multiplication Rule of Probability
+gptoss-20b,C1_THEOREM_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b3f0df3b43b77504,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),Conditional Probability Product Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+gptoss-20b,C0_BASE,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+gptoss-20b,C0_BASE,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c65ca9806806e914,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c65ca9806806e914,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C0_BASE,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Permanent Upper Bound
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5a7f9def1c83164,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+gptoss-20b,C0_BASE,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9e45aa870868bce,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C0_BASE,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C0_BASE,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ac77d5a441f1e417,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,Cramer's Rule
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac77d5a441f1e417,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+gptoss-20b,C0_BASE,rcd2_d8e63f16602a3555,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8e63f16602a3555,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8e63f16602a3555,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+gptoss-20b,C0_BASE,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6273117847e8b39d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C0_BASE,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ea2b698fd89cd252,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Bézout's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a61166594d73c73d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C0_BASE,rcd2_208231715833f2a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_208231715833f2a1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C0_BASE,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Multiplication Rule of Probability
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee04996690fd5613,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+gptoss-20b,C0_BASE,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_85b615da766c0f0a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+gptoss-20b,C0_BASE,rcd2_9bf9d2830f83d8c8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C0_BASE,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C0_BASE,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_932a9f593481f1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C0_BASE,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess bound on character sums
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-20b,C0_BASE,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_c196384a29209dbe,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Whitehead's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c196384a29209dbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Whitehead's lemma
+gptoss-20b,C0_BASE,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9cea7b34af7aa242,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9cea7b34af7aa242,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C0_BASE,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+gptoss-20b,C0_BASE,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C0_BASE,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e24a9ab500e2476,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e24a9ab500e2476,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C0_BASE,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Parseval's identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61188a7f5a5f913a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C0_BASE,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9330e4e163980fed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9330e4e163980fed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C0_BASE,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+gptoss-20b,C0_BASE,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_49b723f3d88c0ed6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_377616037ca74545,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+gptoss-20b,C0_BASE,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4fb3cdd1336abd0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+gptoss-20b,C0_BASE,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Fundamental Theorem of Line Integrals
+gptoss-20b,C1_THEOREM_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fa3d510252da466c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C0_BASE,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cc49b13c94c52052,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C0_BASE,rcd2_bb440288026b4961,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb440288026b4961,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb440288026b4961,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+gptoss-20b,C0_BASE,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f7ab720779f8269b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,Fernique's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f7ab720779f8269b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+gptoss-20b,C0_BASE,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C0_BASE,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+gptoss-20b,C0_BASE,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9965e29bf7704ec5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C0_BASE,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C0_BASE,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+gptoss-20b,C0_BASE,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Poisson's equation
+gptoss-20b,C1_THEOREM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C0_BASE,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-20b,C1_THEOREM_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+gptoss-20b,C3_HYBRID_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+gptoss-20b,C0_BASE,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_62b414b9d18b3dd4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C0_BASE,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+gptoss-20b,C0_BASE,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+gptoss-20b,C0_BASE,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b81291ea2f3f8929,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b81291ea2f3f8929,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7654f8274afb3628,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7654f8274afb3628,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7654f8274afb3628,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+gptoss-20b,C0_BASE,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_019d6531a75cb753,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+gptoss-20b,C0_BASE,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+gptoss-20b,C0_BASE,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,Whitehead's lemma
+gptoss-20b,C0_BASE,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0383c29f5d9ba824,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+gptoss-20b,C0_BASE,rcd2_af3f970c00253080,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af3f970c00253080,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af3f970c00253080,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af3f970c00253080,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C0_BASE,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45f638c90a3357c0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C0_BASE,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C0_BASE,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank-Nullity Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+gptoss-20b,C0_BASE,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C0_BASE,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_801361205d7e2558,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C0_BASE,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bab5ea97193b3010,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C0_BASE,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C0_BASE,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_968a638644dc17e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C0_BASE,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e0ea5be342965139,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,Inequality of uv and xy
+gptoss-20b,C3_HYBRID_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+gptoss-20b,C0_BASE,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01f884b566f4801a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C0_BASE,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3d2097ea21807fcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+gptoss-20b,C0_BASE,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+gptoss-20b,C0_BASE,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C0_BASE,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4579c81146869af,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C0_BASE,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Union Bound Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+gptoss-20b,C0_BASE,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C0_BASE,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_921a76f6edb470bb,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+gptoss-20b,C0_BASE,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fdc4befaa8e4a544,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,Counting lemma
+gptoss-20b,C0_BASE,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C0_BASE,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+gptoss-20b,C0_BASE,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bba38e27fb61a0b2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bba38e27fb61a0b2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,Specht's theorem
+gptoss-20b,C0_BASE,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+gptoss-20b,C0_BASE,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+gptoss-20b,C0_BASE,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C0_BASE,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+gptoss-20b,C0_BASE,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9ba8f667c7f84eef,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C0_BASE,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2157838478ca50db,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+gptoss-20b,C0_BASE,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,Erdős–Graham problem
+gptoss-20b,C0_BASE,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_933d1f7c4a570618,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+gptoss-20b,C0_BASE,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C1_THEOREM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_041f731cd54aaa3f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C3_HYBRID_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+gptoss-20b,C0_BASE,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f0179732403d141,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f0179732403d141,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+gptoss-20b,C0_BASE,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+gptoss-20b,C0_BASE,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C0_BASE,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34a380b8d5e4a737,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+gptoss-20b,C0_BASE,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Doob's L^2 maximal inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2bc9a87801d3aafc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2bc9a87801d3aafc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C0_BASE,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C0_BASE,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C0_BASE,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_577277997be6db38,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb52f4c29cad4ac4,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+gptoss-20b,C0_BASE,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+gptoss-20b,C0_BASE,rcd2_dead898a1bad17a9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+gptoss-20b,C0_BASE,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86355f4b84e0ed6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C0_BASE,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+gptoss-20b,C0_BASE,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C0_BASE,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C0_BASE,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+gptoss-20b,C0_BASE,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini's Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C0_BASE,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C0_BASE,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C0_BASE,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6151f6b035c13da9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6151f6b035c13da9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6151f6b035c13da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-20b,C0_BASE,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61fa5ba1681bf179,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Hadamard's inequality
+gptoss-20b,C0_BASE,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_203ad24190faf7f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Taylor's Theorem with Remainder
+gptoss-20b,C3_HYBRID_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d688439786af3bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,Glauberman's theorem on p'-degree characters
+gptoss-20b,C3_HYBRID_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+gptoss-20b,C0_BASE,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+gptoss-20b,C0_BASE,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4804a253e45aa9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C0_BASE,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C0_BASE,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Dyson conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+gptoss-20b,C0_BASE,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+gptoss-20b,C0_BASE,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2584a59ed2dda73e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C0_BASE,rcd2_fd594362b7e46094,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C0_BASE,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's Lemma
+gptoss-20b,C1_THEOREM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+gptoss-20b,C0_BASE,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C0_BASE,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f8d1c75cade941c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9dee64631a4888a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-20b,C0_BASE,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9becb5894bec52b,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_10c5bb88a878590f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+gptoss-20b,C0_BASE,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_720e1f7be2e10e65,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Isolation lemma,Isolation lemma
+gptoss-20b,C0_BASE,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Majorization Sum Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_64b60b306ea5cd50,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,Muirhead's inequality
+gptoss-20b,C0_BASE,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Nullity theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e0d71b0af25de4fe,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,Interior extremum theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2440b0622d7ef1e8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+gptoss-20b,C0_BASE,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3b3df24cf201b86,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3b3df24cf201b86,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C0_BASE,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+gptoss-20b,C0_BASE,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b0ffed41821d312b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C0_BASE,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e29c151c223de9c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+gptoss-20b,C0_BASE,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8c52647fa2a4dd41,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8c52647fa2a4dd41,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+gptoss-20b,C0_BASE,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C0_BASE,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+gptoss-20b,C0_BASE,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2956e002fed20ab3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C0_BASE,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_de7b936da0b2d977,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C0_BASE,rcd2_a254932073f897c8,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C0_BASE,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+gptoss-20b,C0_BASE,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_db888f2b9c2f6445,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_da425914fdcfab0c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_da425914fdcfab0c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+gptoss-20b,C0_BASE,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9563b3e84bb19824,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C0_BASE,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C0_BASE,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fdde63d7e0c1d462,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+gptoss-20b,C0_BASE,rcd2_ef7ab71ec22ef43e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef7ab71ec22ef43e,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C0_BASE,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+gptoss-20b,C0_BASE,rcd2_fac3875e17459c54,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_fac3875e17459c54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,Multinomial theorem
+gptoss-20b,C0_BASE,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+gptoss-20b,C0_BASE,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0078c099eead9d38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,No-deleting theorem
+gptoss-20b,C0_BASE,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-20b,C0_BASE,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e28d890b7d0071d2,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C1_THEOREM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C3_HYBRID_RAG,rcd2_85b60f83c70c950f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C0_BASE,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+gptoss-20b,C0_BASE,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+gptoss-20b,C0_BASE,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55b78034bad68fbd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+gptoss-20b,C0_BASE,rcd2_7585478edbd6d0c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7585478edbd6d0c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7585478edbd6d0c2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+gptoss-20b,C0_BASE,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C0_BASE,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a4257263dce9415a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+gptoss-20b,C0_BASE,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C0_BASE,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C0_BASE,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+gptoss-20b,C0_BASE,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Quadrilateral diagonal product inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70bb68cb1e918a99,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70bb68cb1e918a99,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+gptoss-20b,C0_BASE,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b2d7a71a952e771c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,Inverse Function Theorem (Derivative)
+gptoss-20b,C1_THEOREM_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b2d7a71a952e771c,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,Derivative of inverse function
+gptoss-20b,C3_HYBRID_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+gptoss-20b,C0_BASE,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ffec2bc0daca0392,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ffec2bc0daca0392,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+gptoss-20b,C0_BASE,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ccbf35656f90e8fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Area theorem,Area theorem
+gptoss-20b,C0_BASE,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,Campbell's theorem
+gptoss-20b,C0_BASE,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b46056b00fdcea6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b46056b00fdcea6d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,Binomial coefficient identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_b46056b00fdcea6d,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+gptoss-20b,C0_BASE,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+gptoss-20b,C0_BASE,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55c96b773598218d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+gptoss-20b,C0_BASE,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c3c28791d9330cd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C0_BASE,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C3_HYBRID_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+gptoss-20b,C0_BASE,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+gptoss-20b,C0_BASE,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_55b0385ad7c1fd53,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+gptoss-20b,C0_BASE,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+gptoss-20b,C0_BASE,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_4ffd9988125d6814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,Hadamard's inequality
+gptoss-20b,C0_BASE,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C0_BASE,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+gptoss-20b,C0_BASE,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+gptoss-20b,C0_BASE,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+gptoss-20b,C0_BASE,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini's identity
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+gptoss-20b,C0_BASE,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39f2d598e043ba48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39f2d598e043ba48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+gptoss-20b,C0_BASE,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e73c668286c8e7e7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e73c668286c8e7e7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+gptoss-20b,C0_BASE,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_933f4f9ba8f494a1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_933f4f9ba8f494a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_128437815487b55b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_128437815487b55b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+gptoss-20b,C0_BASE,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-20b,C1_THEOREM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-20b,C3_HYBRID_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+gptoss-20b,C0_BASE,rcd2_942e12e712bbf374,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Factorization of x^4 + 4y^4
+gptoss-20b,C3_HYBRID_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+gptoss-20b,C0_BASE,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Binomial coefficient sum identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_63abd39b034fdec8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Combinatorial identity: sum of binomial coefficients
+gptoss-20b,C3_HYBRID_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_43493e93f21a6269,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_43493e93f21a6269,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C0_BASE,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47325fe0d2beb9c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+gptoss-20b,C0_BASE,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+gptoss-20b,C0_BASE,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's inequality for mixed volumes
+gptoss-20b,C3_HYBRID_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+gptoss-20b,C0_BASE,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4bf77880ecf45445,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+gptoss-20b,C0_BASE,rcd2_dc89fc01824c8f34,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+gptoss-20b,C0_BASE,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C0_BASE,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9e94669458c1bfc0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9e94669458c1bfc0,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45074ae4634aa92a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45074ae4634aa92a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45074ae4634aa92a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C0_BASE,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C1_THEOREM_RAG,rcd2_50b6391773166e37,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_50b6391773166e37,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+gptoss-20b,C3_HYBRID_RAG,rcd2_50b6391773166e37,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+gptoss-20b,C0_BASE,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_261a97b5ffce201c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,Levi's lemma
+gptoss-20b,C0_BASE,rcd2_ca9b23c8a4167963,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ca9b23c8a4167963,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ca9b23c8a4167963,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ca9b23c8a4167963,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-20b,C0_BASE,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90a4d4469bc29872,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Modularity theorem,Modularity theorem
+gptoss-20b,C0_BASE,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_605424c227742759,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C0_BASE,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+gptoss-20b,C0_BASE,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3633d058ec15608c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3633d058ec15608c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+gptoss-20b,C0_BASE,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+gptoss-20b,C0_BASE,rcd2_5fc73b6db1b9142b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-20b,C0_BASE,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,Lamé's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_86d3f5f0ac797f18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,Lamé's theorem
+gptoss-20b,C0_BASE,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_23309e8582c56057,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,NLTS conjecture
+gptoss-20b,C0_BASE,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8798bfa9bc8afc7c,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_673474bd6517e3b2,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_673474bd6517e3b2,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+gptoss-20b,C0_BASE,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Floor Sum Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_6528db9dff1e4be1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6528db9dff1e4be1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6528db9dff1e4be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,Hermite's identity
+gptoss-20b,C0_BASE,rcd2_8763026c14110c72,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a79bc5ce30756026,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a79bc5ce30756026,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C0_BASE,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+gptoss-20b,C0_BASE,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+gptoss-20b,C0_BASE,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_666939b00ebe2b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C0_BASE,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,KL divergence nonnegativity
+gptoss-20b,C3_HYBRID_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C0_BASE,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d62c97fba729c3f0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+gptoss-20b,C0_BASE,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gptoss-20b,C1_THEOREM_RAG,rcd2_89c6dc0e4977804c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Dini test,Dini test
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+gptoss-20b,C3_HYBRID_RAG,rcd2_89c6dc0e4977804c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Dini test,Dini test
+gptoss-20b,C0_BASE,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+gptoss-20b,C0_BASE,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+gptoss-20b,C0_BASE,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C1_THEOREM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz Integral Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+gptoss-20b,C0_BASE,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C0_BASE,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eaef315dd90ea15c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eaef315dd90ea15c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+gptoss-20b,C0_BASE,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7187cb212b639fd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C0_BASE,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0409e23e3a57028,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-20b,C0_BASE,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+gptoss-20b,C0_BASE,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ca9f78da5f076245,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,Neyman–Pearson lemma
+gptoss-20b,C0_BASE,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C0_BASE,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+gptoss-20b,C0_BASE,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+gptoss-20b,C0_BASE,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fee177792ae064ee,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fee177792ae064ee,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+gptoss-20b,C0_BASE,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ebb7ef80087ca749,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ebb7ef80087ca749,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ebb7ef80087ca749,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rado's theorem,Rado's theorem
+gptoss-20b,C0_BASE,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C0_BASE,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C0_BASE,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9265d8795be426d0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C3_HYBRID_RAG,rcd2_9265d8795be426d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+gptoss-20b,C0_BASE,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_58b221892db2f04a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+gptoss-20b,C0_BASE,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+gptoss-20b,C0_BASE,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+gptoss-20b,C0_BASE,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d03a5a5b1732d780,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+gptoss-20b,C0_BASE,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner-Eckart theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+gptoss-20b,C0_BASE,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,Chernoff bound
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e9cc05ca252f26b0,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+gptoss-20b,C0_BASE,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0df2a2bca5533c02,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0df2a2bca5533c02,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C0_BASE,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee69d5d3535ee66a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+gptoss-20b,C0_BASE,rcd2_1104b6afd1528fc9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1104b6afd1528fc9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1104b6afd1528fc9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+gptoss-20b,C0_BASE,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7f17732e394111df,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7f17732e394111df,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7f17732e394111df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C0_BASE,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Binomial Coefficient Sum Identity
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C0_BASE,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,Stanley–Wilf conjecture
+gptoss-20b,C0_BASE,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d92451ac8aeab523,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,Kruskal's tree theorem
+gptoss-20b,C0_BASE,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_92c3733caa9498dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_92c3733caa9498dc,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+gptoss-20b,C0_BASE,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Exponential Martingale Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_79f715e10ba2e910,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C0_BASE,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9d641c718f6f8f8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C0_BASE,rcd2_fc860fc35c90c78f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc860fc35c90c78f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc860fc35c90c78f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+gptoss-20b,C0_BASE,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Cesàro mean of Fourier coefficients equals sum of squared masses of atoms
+gptoss-20b,C1_THEOREM_RAG,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4a3926af433ce763,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,Wiener's lemma
+gptoss-20b,C0_BASE,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,1,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d46366b211cf04c,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d46366b211cf04c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+gptoss-20b,C0_BASE,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b42ccc9944097d26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+gptoss-20b,C0_BASE,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b9c3caf7eeb09be1,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C0_BASE,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_091cf4cfdc133751,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+gptoss-20b,C0_BASE,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+gptoss-20b,C0_BASE,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+gptoss-20b,C0_BASE,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_8f27d2bd238554b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8f27d2bd238554b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+gptoss-20b,C0_BASE,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+gptoss-20b,C0_BASE,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b5be8ba8b14f81c2,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,Burnside's Lemma (colorings)
+gptoss-20b,C1_THEOREM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ad050d2f4a4c223c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,Abel's inequality
+gptoss-20b,C0_BASE,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df12720a3535a177,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C0_BASE,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bd2772ccd629a4b4,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+gptoss-20b,C0_BASE,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_69d5dbbadcf2142e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C0_BASE,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-20b,C0_BASE,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+gptoss-20b,C0_BASE,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8dd1e68921e06ef9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,Difference of Squares
+gptoss-20b,C3_HYBRID_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+gptoss-20b,C0_BASE,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+gptoss-20b,C0_BASE,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7d2beab0d850b7c9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C0_BASE,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+gptoss-20b,C0_BASE,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C0_BASE,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_381a4e1c8e8c37f9,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C0_BASE,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6502f60754897042,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24f4c0e266b95061,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24f4c0e266b95061,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24f4c0e266b95061,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C0_BASE,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_544de3a8d329d8f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_544de3a8d329d8f7,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+gptoss-20b,C0_BASE,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c58911d821657cf3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,Minkowski's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c58911d821657cf3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c58911d821657cf3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+gptoss-20b,C0_BASE,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9796c5eb59708d18,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,Levinson's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9796c5eb59708d18,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+gptoss-20b,C0_BASE,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+gptoss-20b,C0_BASE,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+gptoss-20b,C0_BASE,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6902297255aee68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,Labelled enumeration theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+gptoss-20b,C0_BASE,rcd2_e95355111f622553,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e95355111f622553,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+gptoss-20b,C0_BASE,rcd2_2d644345eebc9aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2d644345eebc9aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,Isoperimetric inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+gptoss-20b,C0_BASE,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45b050d2ab02e31a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45b050d2ab02e31a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+gptoss-20b,C0_BASE,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72d4aaccbf09b00b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,Joubert's theorem
+gptoss-20b,C0_BASE,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a25af218409efa28,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+gptoss-20b,C0_BASE,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_07f8cbbad8b117bc,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Doléans-Dade Exponential Formula
+gptoss-20b,C3_HYBRID_RAG,rcd2_07f8cbbad8b117bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+gptoss-20b,C0_BASE,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_828eb294f101a58b,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_828eb294f101a58b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,Krasner's lemma
+gptoss-20b,C0_BASE,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+gptoss-20b,C0_BASE,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C0_BASE,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Hockey-stick identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6b43a7e754e06dbc,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Hockey-stick identity
+gptoss-20b,C0_BASE,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f64ef8fa13ec9a2f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f64ef8fa13ec9a2f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_f64ef8fa13ec9a2f,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+gptoss-20b,C0_BASE,rcd2_5cae55e23e8b9eac,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+gptoss-20b,C0_BASE,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+gptoss-20b,C0_BASE,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+gptoss-20b,C0_BASE,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+gptoss-20b,C0_BASE,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+gptoss-20b,C0_BASE,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+gptoss-20b,C0_BASE,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b027f30b3eff894a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b027f30b3eff894a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,Burgess inequality
+gptoss-20b,C0_BASE,rcd2_a963b2e62fedf1f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Donsker-Varadhan variational formula for Brownian motion
+gptoss-20b,C3_HYBRID_RAG,rcd2_a963b2e62fedf1f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+gptoss-20b,C0_BASE,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba83a20cbd35cc26,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+gptoss-20b,C0_BASE,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+gptoss-20b,C0_BASE,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+gptoss-20b,C0_BASE,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c6918fae05833ef,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+gptoss-20b,C0_BASE,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_12a48816da906fa3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+gptoss-20b,C0_BASE,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+gptoss-20b,C0_BASE,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gptoss-20b,C1_THEOREM_RAG,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's Rule
+gptoss-20b,C3_HYBRID_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's rule
+gptoss-20b,C0_BASE,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+gptoss-20b,C0_BASE,rcd2_e37a685c1f8d26fc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e37a685c1f8d26fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,Oppenheim conjecture
+gptoss-20b,C0_BASE,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+gptoss-20b,C0_BASE,rcd2_d8ff045cfcb20686,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d8ff045cfcb20686,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+gptoss-20b,C0_BASE,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8911219443e82873,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,Lorden's inequality
+gptoss-20b,C0_BASE,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+gptoss-20b,C0_BASE,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cb917cbac3c8a01d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+gptoss-20b,C0_BASE,rcd2_a2f359f7b29417ef,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+gptoss-20b,C0_BASE,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+gptoss-20b,C0_BASE,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+gptoss-20b,C0_BASE,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b97786a44c8dc7a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+gptoss-20b,C0_BASE,rcd2_5ed14c24a712c862,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5ed14c24a712c862,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C0_BASE,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f5874bb9cf0f0400,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f5874bb9cf0f0400,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+gptoss-20b,C0_BASE,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f37576059ed3476f,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+gptoss-20b,C0_BASE,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_030f2109906efc1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C0_BASE,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f0ab35299e26b591,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-20b,C0_BASE,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4a3d719d57f786c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+gptoss-20b,C0_BASE,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,KL divergence is nonnegative
+gptoss-20b,C1_THEOREM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c0d532e4ec1803f3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+gptoss-20b,C0_BASE,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C0_BASE,rcd2_844445219902925b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+gptoss-20b,C0_BASE,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+gptoss-20b,C0_BASE,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+gptoss-20b,C0_BASE,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2511f84106342be0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Fundamental Theorem of Line Integrals
+gptoss-20b,C3_HYBRID_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+gptoss-20b,C0_BASE,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+gptoss-20b,C0_BASE,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_389bf01ea0c097b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_389bf01ea0c097b6,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_389bf01ea0c097b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,Hoeffding's lemma
+gptoss-20b,C0_BASE,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+gptoss-20b,C0_BASE,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_61533a435ccb26cc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,Krener's theorem
+gptoss-20b,C0_BASE,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+gptoss-20b,C0_BASE,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47028f0d3e750a6c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+gptoss-20b,C0_BASE,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39b812435cf06b92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,Fejér's theorem
+gptoss-20b,C0_BASE,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_67e7057310b53514,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_67e7057310b53514,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+gptoss-20b,C0_BASE,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0b343c1bdc0eef30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,Itô's lemma
+gptoss-20b,C0_BASE,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_66a18577eaaa0f28,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy-Davenport Theorem
+gptoss-20b,C3_HYBRID_RAG,rcd2_9fee4834e9550c10,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""DENORMALIZE_RELATION""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+gptoss-20b,C0_BASE,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c26615c2a81de4a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+gptoss-20b,C0_BASE,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_93127e2cacfde864,negative,OK,ABSTAIN,0,0,0,0,0,0,0,1,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e80f9685d9e7794c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Blackwell's informativeness theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e80f9685d9e7794c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+gptoss-20b,C0_BASE,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_430e527ddd56e16e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""REMOVE_MONOTONE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C0_BASE,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+gptoss-20b,C0_BASE,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+gptoss-20b,C0_BASE,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C1_THEOREM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+gptoss-20b,C0_BASE,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_058f00032d0afb16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER"", ""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,Uniform limit theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_058f00032d0afb16,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_058f00032d0afb16,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+gptoss-20b,C0_BASE,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+gptoss-20b,C0_BASE,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+gptoss-20b,C0_BASE,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,Borsuk–Ulam theorem
+gptoss-20b,C0_BASE,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1acef4f209cbef98,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C0_BASE,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+gptoss-20b,C0_BASE,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6f4649aa2503e351,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+gptoss-20b,C0_BASE,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+gptoss-20b,C0_BASE,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b355a74166fe4950,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+gptoss-20b,C0_BASE,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+gptoss-20b,C0_BASE,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney Inequality
+gptoss-20b,C3_HYBRID_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+gptoss-20b,C0_BASE,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+gptoss-20b,C0_BASE,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Euler product formula for the Riemann zeta function
+gptoss-20b,C1_THEOREM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Euler Product Formula for the Riemann Zeta Function
+gptoss-20b,C3_HYBRID_RAG,rcd2_8bbaf18b24b401fb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+gptoss-20b,C0_BASE,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Linearity of Linear Map: L(-v) = -L(v)
+gptoss-20b,C1_THEOREM_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+gptoss-20b,C0_BASE,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_97f841e7c6e91b9a,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C0_BASE,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""OTHER""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+gptoss-20b,C0_BASE,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+gptoss-20b,C0_BASE,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Carleman's condition
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Jackson inequality for Sobolev spaces
+gptoss-20b,C1_THEOREM_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b11b054e51414f55,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+gptoss-20b,C0_BASE,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,Chevalley–Warning theorem
+gptoss-20b,C0_BASE,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_df7c1f727954f4f9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,Slepian's lemma
+gptoss-20b,C0_BASE,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_2aa899f6f232d1f6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,Adiabatic theorem
+gptoss-20b,C0_BASE,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_a28f16dde5ea01ac,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte-Berge Formula
+gptoss-20b,C3_HYBRID_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+gptoss-20b,C0_BASE,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_3fc0fa5bcec0d44a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_3fc0fa5bcec0d44a,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+gptoss-20b,C0_BASE,rcd2_e3e8d953eb986866,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e3e8d953eb986866,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Discrete Summation by Parts
+gptoss-20b,C3_HYBRID_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+gptoss-20b,C0_BASE,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,Blow-up lemma
+gptoss-20b,C0_BASE,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,f'(c) \neq 0
+gptoss-20b,C3_HYBRID_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+gptoss-20b,C0_BASE,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_78a9be015a7def2b,positive,OK,ABSTAIN,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+gptoss-20b,C0_BASE,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C0_BASE,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+gptoss-20b,C0_BASE,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C0_BASE,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C1_THEOREM_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5beaf2b2455ca557,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+gptoss-20b,C0_BASE,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+gptoss-20b,C0_BASE,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+gptoss-20b,C0_BASE,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_af28ee9857cf2819,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_af28ee9857cf2819,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+gptoss-20b,C0_BASE,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+gptoss-20b,C0_BASE,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+gptoss-20b,C0_BASE,rcd2_71da5cf19875ae02,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_71da5cf19875ae02,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+gptoss-20b,C0_BASE,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,Cantor's intersection theorem
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+gptoss-20b,C0_BASE,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C1_THEOREM_RAG,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_e81b7cf12baffec3,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+gptoss-20b,C3_HYBRID_RAG,rcd2_e81b7cf12baffec3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+gptoss-20b,C0_BASE,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f04a2c4233fe0178,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+gptoss-20b,C0_BASE,rcd2_7ffc8590c4507d6a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-20b,C1_THEOREM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-20b,C3_HYBRID_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+gptoss-20b,C0_BASE,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_fd42dbb90eb5039c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,Rising sun lemma
+gptoss-20b,C0_BASE,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gptoss-20b,C1_THEOREM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+gptoss-20b,C3_HYBRID_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,Bézout's identity
+gptoss-20b,C0_BASE,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C1_THEOREM_RAG,rcd2_5baef606e056d476,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+gptoss-20b,C3_HYBRID_RAG,rcd2_5baef606e056d476,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,Noether normalization lemma
+gptoss-20b,C0_BASE,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_91a37270da1b68ed,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,not_object,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_53c98203894bbd5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C0_BASE,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C1_THEOREM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C2_TRANSFORM_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+gptoss-20b,C3_HYBRID_RAG,rcd2_33a5f75f5c961db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6516fa8d135e2ec9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa5f64b267e35265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa5f64b267e35265,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Siegel's lemma,Siegel's lemma
+leanstral-2603,C0_BASE,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45f5f15dbf2d1e10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_271c8e25fc8f8de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_271c8e25fc8f8de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+leanstral-2603,C0_BASE,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f1807533f51cdb2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_178f41df361fb3f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_88fbe406628dae53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C0_BASE,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0a5c01f4782cae7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C0_BASE,rcd2_582c2e1f928a5b30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_582c2e1f928a5b30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_582c2e1f928a5b30,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C0_BASE,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c516c5d7d51b60a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a6a5ee31b8f4014c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C0_BASE,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c14d4eb07dcb7c30,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_685215e73ac45625,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78c107bfca939729,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b9311af87fb01e96,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C0_BASE,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2bb1f082ed232f6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_38a018c29468b21c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38a018c29468b21c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38a018c29468b21c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+leanstral-2603,C1_THEOREM_RAG,rcd2_789110b6998162ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_789110b6998162ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,
+leanstral-2603,C3_HYBRID_RAG,rcd2_789110b6998162ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+leanstral-2603,C0_BASE,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_73b688347bf5f292,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a93169124a661949,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e87ce0a616d2b0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C0_BASE,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0e754c9afa94ce8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0e754c9afa94ce8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,Sylvester's law of inertia
+leanstral-2603,C0_BASE,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59770635374ce268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c587f0569d461171,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90fb5ad3a64575c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90fb5ad3a64575c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cayley–Hamilton theorem,Cayley–Hamilton theorem
+leanstral-2603,C0_BASE,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_077c39d731537779,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Mean value theorem,
+leanstral-2603,C0_BASE,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_44ec684a1e75d0ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C0_BASE,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b8c17a5b206ba08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lagrange's identity,
+leanstral-2603,C0_BASE,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C1_THEOREM_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_631d12eee454196e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C3_HYBRID_RAG,rcd2_631d12eee454196e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,Pumping lemma for regular languages
+leanstral-2603,C0_BASE,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER"", ""OTHER""]",[],,Gibbs' inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e7af38f06ede5ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_87bb705f98b17e33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_921bf0709a6b57d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bf3628c1d8d43e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9acb92f9d30c46c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9acb92f9d30c46c1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Covering problem of Rado,Covering problem of Rado
+leanstral-2603,C0_BASE,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70fdb8d1d666ba36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C0_BASE,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7422e37231d22159,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7422e37231d22159,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Burr–Erdős conjecture
+leanstral-2603,C0_BASE,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74a6b64914341a33,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74a6b64914341a33,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+leanstral-2603,C0_BASE,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f15bb3547625ab4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5c5c58e4dcdbc44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wendel's theorem,
+leanstral-2603,C0_BASE,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d7137fce72ac9fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6ad53d2e747f6ed8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+leanstral-2603,C0_BASE,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6bbf80a104b58d7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C0_BASE,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_468e7d3feb7d9dcf,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_468e7d3feb7d9dcf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,Lorden's inequality
+leanstral-2603,C0_BASE,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f00173161e99d273,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C0_BASE,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_35f73e894d3b7db1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e102fb4e28812817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Siegel's lemma,
+leanstral-2603,C0_BASE,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ecfc438fcf52443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_50a56834ca81a883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9085b3cfb3896817,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C0_BASE,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b1027512595c4fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C0_BASE,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec81744149f02ab6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C0_BASE,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9b0e71ecf54a060,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C0_BASE,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b12fd335828eca9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b12fd335828eca9e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f74035cf177e7249,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2122e6db519a8af6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C0_BASE,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_76c82ebbe6b20464,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9a4eccce03d3244,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C0_BASE,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b7b8c238e593ef49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84b1c2cae20a035b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84b1c2cae20a035b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+leanstral-2603,C0_BASE,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de6eaacaeaffab41,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e83a8d62e59080c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e83a8d62e59080c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Crossing number inequality,Crossing number inequality
+leanstral-2603,C0_BASE,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72ee534b2b5f253c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C1_THEOREM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C3_HYBRID_RAG,rcd2_15a9ecb28deead8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C0_BASE,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5f4dc91a83876d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ff13a2579d616b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cfd7cdeec1b1241e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's theorem,
+leanstral-2603,C0_BASE,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4ef8332e7735833,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,Campbell's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4ef8332e7735833,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C0_BASE,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1234f345bfb59706,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C0_BASE,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1e3f0a2a23275da4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C0_BASE,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1e352caf23cf504d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_249b198b4c58de68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C0_BASE,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc1efab11993ce53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_40998f4562131728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3da7d23001f0ab84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Abel's inequality,
+leanstral-2603,C0_BASE,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7289f9c6b89f2d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C0_BASE,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_36e41882b93153bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee1b94b34ca8c884,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_669480de8db8b93a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C0_BASE,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5ee81b743f3f06b,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""OTHER""]",[],,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5ee81b743f3f06b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5ee81b743f3f06b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]",[],,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7378785f670bb408,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C0_BASE,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4cf6936152b6a533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97bd3cb25ba0e8c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c7d38199a14b53f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9615e8628adcd18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8edc7378192e73e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01ebb063bcab1202,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01ebb063bcab1202,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01ebb063bcab1202,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C0_BASE,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b6304a0974b1996e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b6304a0974b1996e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,Landau–Mignotte bound
+leanstral-2603,C0_BASE,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f18fc5ba4c266d89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C0_BASE,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_da30e5005511db4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_770418179df8594f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_31f527bb023bf9d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e6eb6f1cbf99a736,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9acada7511c3ae4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4523fcad08f2e5e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C0_BASE,rcd2_5382ea62265d4fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5382ea62265d4fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5382ea62265d4fe5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C0_BASE,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_098d8aa78120bd60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C0_BASE,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8b8c61a05ad8e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2480dd155098c61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2480dd155098c61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2480dd155098c61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C0_BASE,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6164ffc1c9d8039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_844aa96226d16c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_099df776f4c70b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_099df776f4c70b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_099df776f4c70b0b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_35cd4fdcc8aba9fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d3deaa614f51dc6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bonse's inequality,
+leanstral-2603,C0_BASE,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1405f6c2646f2d21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0a570f1952157d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0a570f1952157d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0a570f1952157d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e124b03b49483199,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C0_BASE,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_749e177b03ef2abf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a200670a24462239,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Counting lemma,
+leanstral-2603,C0_BASE,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0835f8b727e5b0a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Jacobi identity,
+leanstral-2603,C0_BASE,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1f6e409da9bc1263,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C0_BASE,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7648dd35a6df9b3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b53de7c5537125c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C0_BASE,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_300827e33f89e153,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a6fd05dfbec06485,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ca03f0efd0245402,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C0_BASE,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e47f87070dd64530,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7e361fbb80397e3d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8853283a8537c2d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8853283a8537c2d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C0_BASE,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8dcd19440a5ce6d6,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,Isoperimetric Inequality in 2D
+leanstral-2603,C3_HYBRID_RAG,rcd2_8dcd19440a5ce6d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_76599ef104cb11e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_855284f1535804c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C0_BASE,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be5b5ebc11138a01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C0_BASE,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9acd31ecdcbe830,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00fac75bf57201d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6046f80aac97e5cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_650f35e54a8bb5b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C0_BASE,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_486a0dc6f82ff785,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c096e256757a549c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C0_BASE,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_183027ef6a5ef749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C0_BASE,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b80fe96bcaf2307c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b80fe96bcaf2307c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,Ky Fan inequality
+leanstral-2603,C0_BASE,rcd2_8a0b6be56423af08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a0b6be56423af08,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a0b6be56423af08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a0b6be56423af08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+leanstral-2603,C0_BASE,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c37b058e0d13d075,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b1f8f1fdff452fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8347b6510ea544ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8347b6510ea544ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8347b6510ea544ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C0_BASE,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1dba580900bf6d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d9c2aaa89d72b08f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_543d4e63bcb0bb7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_324ff96cf75dd968,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e7fb865d1229604,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C0_BASE,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_463106af72892a7e,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_463106af72892a7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ddf97876a960330,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b46640b6330a25d9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b46640b6330a25d9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+leanstral-2603,C0_BASE,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2215867f5b04b84b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Bernstein inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2215867f5b04b84b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2215867f5b04b84b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]",[],,Bernstein inequalities
+leanstral-2603,C0_BASE,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a6582c8d1eca41c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5e25c8061ac473f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_758c8e2ae4f3ef92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C0_BASE,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e13adc3ef9aef1e1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C0_BASE,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86a5ef4e458d58fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b89a3a2e3711068,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b89a3a2e3711068,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b89a3a2e3711068,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bd739e043572b828,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_92651f1a3fe78c96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c0ad860dceb1ce9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C0_BASE,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_30aad218874b178e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_590978db48738271,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a2fe84d44de5eee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a2fe84d44de5eee,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_286d8fdf65100b60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C0_BASE,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b5a74e960f2209f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d02884bb4ac260c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e8064ff7e2d90a8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8064ff7e2d90a8b,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8064ff7e2d90a8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8064ff7e2d90a8b,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C0_BASE,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_05c0e8a468b35c6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eeaa0671b960ea93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43a65514b5262e6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C0_BASE,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ee01e3a244816af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f20643edf02283c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe53e02e7daeaa9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Siegel's lemma,
+leanstral-2603,C0_BASE,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b064429fee49956,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_48395511ad3bce4b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c096bf20259f913,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd6f4a99d1951f9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C0_BASE,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b823ddfb6a4e80b0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e99f242b9326516d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f4566a69d90e4e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_061724b017c15b35,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57a5f2589fa4e2b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C0_BASE,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_91efae99c15d1ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_98cc7aa401edfafa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a38b90be817fd616,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Markov's inequality,
+leanstral-2603,C0_BASE,rcd2_99e1d5493d122775,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_99e1d5493d122775,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_99e1d5493d122775,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f4d48659a54a9d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f4d48659a54a9d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C0_BASE,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_756fd601c7bd67af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_146d9608421bec78,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C0_BASE,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9fc0f2b6023e37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bayes' theorem,
+leanstral-2603,C0_BASE,rcd2_40d4bb8ebfcb9df2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C1_THEOREM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C3_HYBRID_RAG,rcd2_40d4bb8ebfcb9df2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C0_BASE,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61966bc90de6f96a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C0_BASE,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dddc589dfdb48be7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_38b6b09f6624cea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38b6b09f6624cea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38b6b09f6624cea6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+leanstral-2603,C0_BASE,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ab8e252afef5656,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6bb1f1ce0c42b297,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+leanstral-2603,C0_BASE,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0472fd45164da7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C0_BASE,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6957ad77583a247d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1591eca4703232ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6920a50c11f9a1a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d81cca22e814c7d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rolle's theorem,
+leanstral-2603,C0_BASE,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f44ce35a229452fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec27ef9f12407d2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C0_BASE,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e34a659ee7de8e60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47ac7dd844d9ca27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47ac7dd844d9ca27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47ac7dd844d9ca27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C0_BASE,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b6ea7883ff0f7de8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_303fe4d6a3a22f54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8e00308e4457f48a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e00308e4457f48a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e00308e4457f48a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Stokes' theorem,Stokes' theorem
+leanstral-2603,C0_BASE,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős���Ko–Rado theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3d38e3047c063a1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C0_BASE,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc4f74139aecc97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C0_BASE,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fea8fa6a9bf57927,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ebb9d58d6991b9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Candido's identity,
+leanstral-2603,C0_BASE,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e05e6e971afe70b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C0_BASE,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_745f2b838b445848,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_745f2b838b445848,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+leanstral-2603,C0_BASE,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_82d2e00ec29f93e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_94786ea0f58c47d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5ccf4552122c3b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C0_BASE,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42dc661c093cca8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb75073fa4d523df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb75073fa4d523df,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,Freiman's theorem
+leanstral-2603,C0_BASE,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b07b2456e3f48f68,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C0_BASE,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e175434d823d297c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74fc124ba71fe3bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Krasner's lemma,
+leanstral-2603,C0_BASE,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_267a3499e0b79072,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C0_BASE,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0114e08515e297e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C0_BASE,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef14a9be9b7fc045,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",AM–GM inequality,
+leanstral-2603,C0_BASE,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb1967ccca2af078,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f9eae4086a59844,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C0_BASE,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a2ebe4fbf07ba9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e56db2b39bbac7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_adb316ecc62980d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f1ef9d18fbc32c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vaughan's identity,
+leanstral-2603,C0_BASE,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_579ffa8de69966fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_99fca654e73f5845,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47254b34490cf471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C0_BASE,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a1fdf1e4612aaeab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_29f318412cc27773,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C0_BASE,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f6c66c35132474ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b7854044dce82b99,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_058a8f52ee8f9c8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Williamson theorem,
+leanstral-2603,C0_BASE,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8fcbb54bfcb9e63e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C0_BASE,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6289cb7e9f580069,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0acc44516c7149f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67fbd20ea24f6652,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67fbd20ea24f6652,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Schur's lemma,Schur's lemma
+leanstral-2603,C0_BASE,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0bb400062a322092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_221c70900a68b182,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_221c70900a68b182,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_221c70900a68b182,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_221c70900a68b182,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Apéry's theorem,Apéry's theorem
+leanstral-2603,C0_BASE,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e68e6fcb9c3c3e95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C0_BASE,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c141d7dff500946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9782c3f81646f793,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9782c3f81646f793,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Little's law,Little's law
+leanstral-2603,C0_BASE,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cdad94f6c7ef024b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cdad94f6c7ef024b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+leanstral-2603,C0_BASE,rcd2_c5953138de8f5c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5953138de8f5c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5953138de8f5c24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C0_BASE,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00185b96d82bdb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00185b96d82bdb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+leanstral-2603,C0_BASE,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2fabbb0a20ee05e7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4ce6942f70e8c359,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4ce6942f70e8c359,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4ce6942f70e8c359,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,Stokes' theorem
+leanstral-2603,C0_BASE,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_09d7af8736ffb62b,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_09d7af8736ffb62b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C0_BASE,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b7051a4fa0ffd6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Increment theorem,
+leanstral-2603,C0_BASE,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3d1f4af0bf8dfb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_565cc97c4deb6b64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_565cc97c4deb6b64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""EXPAND_ABBREVIATIONS""]",[],,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Doob's martingale inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8252d8bb9905662a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8252d8bb9905662a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Doob's martingale inequality
+leanstral-2603,C0_BASE,rcd2_46cd417f5422a549,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46cd417f5422a549,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46cd417f5422a549,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46cd417f5422a549,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+leanstral-2603,C0_BASE,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c006108f51f723a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5c4d330a2546c42b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ec59dbf79d5e812,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ec59dbf79d5e812,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+leanstral-2603,C0_BASE,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1475c7366973751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Itô's lemma,
+leanstral-2603,C0_BASE,rcd2_dd08ff4579f68951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dd08ff4579f68951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dd08ff4579f68951,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a2a1635966107261,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e119c201ef5b9e2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bonse's inequality,
+leanstral-2603,C0_BASE,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee7f220cda3e1eb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C0_BASE,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d98efc08ceada605,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3a0721ed8d4330d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3a0721ed8d4330d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C0_BASE,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5bd8dd7f7bf366c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C0_BASE,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_15f9f0c82e8661a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Increment theorem,
+leanstral-2603,C0_BASE,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72f605cd32bc38d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C0_BASE,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_277169eb98339de0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67bba0041eae9858,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5cb880827a635b6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b8f504013faf3c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C0_BASE,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_280e2c3bbc518dc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d5d1aa4a1ad5555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8daa1fce235a5972,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]",[],,Multidimensional Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8daa1fce235a5972,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8daa1fce235a5972,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Multidimensional Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d19a679e2ce9dff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C0_BASE,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_73a5af48da79d130,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Dyson conjecture,
+leanstral-2603,C0_BASE,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_772e22498b0d0850,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ec218b5561e147b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C0_BASE,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_055dc5a3c2c2ab1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac9bef6b86564449,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac9bef6b86564449,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac9bef6b86564449,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_99a5f36f9760e2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed755a0ca774ac56,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed755a0ca774ac56,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3075279b5b047b83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a3cec44e404e947b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b4c374be1219534,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b4c374be1219534,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C0_BASE,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e89ca9740ffa424,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4089dbb6717484c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2bad49ccaa299d6c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+leanstral-2603,C1_THEOREM_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+leanstral-2603,C3_HYBRID_RAG,rcd2_742bed15ff6dab00,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Difference of two squares,
+leanstral-2603,C0_BASE,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e09ca10d2970328f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa97f058c3d404fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa97f058c3d404fa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C0_BASE,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_013f4eb4ebd3bdaf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b09cc47ee09803a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47813b40db31aeb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C0_BASE,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_668a16221a5cb987,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee32f1c41e624eb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Thue's lemma,
+leanstral-2603,C0_BASE,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e48ca3285aba5b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C0_BASE,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9a2ca74a72dbc830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C0_BASE,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2ffb5b43de21de3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ce3deac53e769c71,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24ef043809cdebc6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24ef043809cdebc6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C0_BASE,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54d863f2370c77ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54d863f2370c77ce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C0_BASE,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cebdbd438bcad0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C0_BASE,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10f966779e0a4668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Inverse function theorem,
+leanstral-2603,C0_BASE,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78c2f937e051cde1,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Lagrange's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78c2f937e051cde1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78c2f937e051cde1,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Lagrange's identity
+leanstral-2603,C0_BASE,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_545ba95e4b7a6d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C0_BASE,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8fc292404f6cb2de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c900a2d2e18dc053,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c900a2d2e18dc053,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Star of David theorem
+leanstral-2603,C0_BASE,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4c4677256e7219ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7817085ed8b24f6e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b433f9059add20ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C0_BASE,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec90574f7fe67a71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C0_BASE,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_666c4a881096a021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Orlicz–Pettis theorem,
+leanstral-2603,C0_BASE,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef9683553e8028fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3decd7ae24db7aad,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3decd7ae24db7aad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_700a67dfdbd9946d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_700a67dfdbd9946d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_700a67dfdbd9946d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Baranyai's theorem,Baranyai's theorem
+leanstral-2603,C0_BASE,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e0bc7945e4bcbd6,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e0bc7945e4bcbd6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lorden's inequality,Lorden's inequality
+leanstral-2603,C0_BASE,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18175dc22bda2904,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18175dc22bda2904,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_707232dca515533d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_367a0dbc353a32cf,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Routh–Hurwitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_367a0dbc353a32cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_367a0dbc353a32cf,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Routh–Hurwitz theorem
+leanstral-2603,C0_BASE,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d207ffd3af625083,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67abe8faa2906acb,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67abe8faa2906acb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67abe8faa2906acb,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]",[],,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4ff69d51c187d2cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bregman–Minc inequality,
+leanstral-2603,C0_BASE,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a0fc91219455c873,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5142e0a8d891ef2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a9f7575d7e1b7944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a9f7575d7e1b7944,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Sazonov's theorem,Sazonov's theorem
+leanstral-2603,C0_BASE,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3239dee32a01f89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c06d1c84729e23ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c06d1c84729e23ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c06d1c84729e23ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C0_BASE,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cead953d3b015cbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c5c38524366fd674,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's Identity
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5c38524366fd674,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C0_BASE,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8cc03de33c4134cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8cc03de33c4134cb,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+leanstral-2603,C0_BASE,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9ee12cd145de9c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9aa23d5e8070b221,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_64a84fa14fa7b249,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64a84fa14fa7b249,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64a84fa14fa7b249,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C0_BASE,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+leanstral-2603,C1_THEOREM_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_99fb5dd51ce82830,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,
+leanstral-2603,C3_HYBRID_RAG,rcd2_99fb5dd51ce82830,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_8ea493be0b9aa015,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ea493be0b9aa015,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ea493be0b9aa015,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C0_BASE,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_13e5034c5a067f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_13e5034c5a067f28,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_7be90b34db9a6f1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7be90b34db9a6f1e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7be90b34db9a6f1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7be90b34db9a6f1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Apéry's theorem,Apéry's theorem
+leanstral-2603,C0_BASE,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f5ce57a91a79c24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C0_BASE,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1cfe2d363fc0504,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac1fe9c976d729db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_856cf38f1de11279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_32b6f7fa49fb54cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_32b6f7fa49fb54cd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C0_BASE,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9f780673148e7eb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a7953732f9b03a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f7211542e9d2983,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C0_BASE,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56c9f9bae87c9944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C0_BASE,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab5db3ff897ee12f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eec4625b56c1ec8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+leanstral-2603,C1_THEOREM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+leanstral-2603,C3_HYBRID_RAG,rcd2_85697eddb2d8665d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Siegel's theorem on integral points,
+leanstral-2603,C0_BASE,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9194588b8b63e63,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9194588b8b63e63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C0_BASE,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8566a262f82dd678,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C0_BASE,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24d80d4d36782108,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_3c665f7ca2b051ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c665f7ca2b051ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c665f7ca2b051ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+leanstral-2603,C0_BASE,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_760e1c005d148fa8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_760e1c005d148fa8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Ahlswede–Daykin inequality
+leanstral-2603,C0_BASE,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b00bcfd8e98ddd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C0_BASE,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c963bcb56d47806,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5515aee15671d8f4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2351c47a6717814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,Nullity theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2351c47a6717814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2351c47a6717814,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Nullity theorem,Nullity theorem
+leanstral-2603,C0_BASE,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39238425ed0b1bed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bonse's inequality,
+leanstral-2603,C0_BASE,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_acb5ce45214c45fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Mean value theorem,
+leanstral-2603,C0_BASE,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5763f647425dd113,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5763f647425dd113,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C0_BASE,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C1_THEOREM_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C3_HYBRID_RAG,rcd2_08079f15e4468385,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C0_BASE,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11efef3c43870db7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C0_BASE,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1fe7d8fe8747ac4e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Williamson theorem,
+leanstral-2603,C0_BASE,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01373d22a1d8976c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b11d502bd3c59b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb8bcdabe524a017,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb8bcdabe524a017,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb8bcdabe524a017,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C0_BASE,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_680356474e4c0615,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Céa's lemma,
+leanstral-2603,C0_BASE,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ba386921dddd51b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7efa83bf8bb8aa7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2e7f49abda5e83f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67b50aeed184a445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b11dc25659205be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Markov's inequality,
+leanstral-2603,C0_BASE,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38a8a33e67d1be48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38a8a33e67d1be48,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+leanstral-2603,C0_BASE,rcd2_d6b6f61bc5bf1885,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d6b6f61bc5bf1885,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d6b6f61bc5bf1885,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_ARGMIN_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C0_BASE,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d773e239e2e4ddd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C0_BASE,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_568d4eb829335103,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C0_BASE,rcd2_e15a9e13f2df41ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e15a9e13f2df41ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e15a9e13f2df41ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_50369d21c415ea3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C0_BASE,rcd2_6e70cb42866e735f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e70cb42866e735f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e70cb42866e735f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e70cb42866e735f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C0_BASE,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_018154856f3daf04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C0_BASE,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_badf58f37c147a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e516e7ec964bfd22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C0_BASE,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_550a29aad94f4e93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_089287f9f67ab480,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e2f334c5051e805,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2878c8f968a5c67f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C0_BASE,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7e77f6b3b43e183e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74a89e6a4966799e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0b2bd3a1ec94e45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2633491087ae9974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2633491087ae9974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2633491087ae9974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2633491087ae9974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b5a8ab35187c6e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C0_BASE,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ae9644319cbe8474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_26bd1eec0d2e1325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_26bd1eec0d2e1325,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Jørgensen's inequality,Jørgensen's inequality
+leanstral-2603,C0_BASE,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_723cf757a16646f7,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_723cf757a16646f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_723cf757a16646f7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C0_BASE,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b51ec5b2eb57a190,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b51ec5b2eb57a190,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6b7c69e38ce04eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C0_BASE,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7abbcee1a3fcde91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C0_BASE,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6654c3176563cbf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwarz lemma,
+leanstral-2603,C0_BASE,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a3e0e25b81756f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57e1f6a7ae470bc3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_315f3bc9e7b5f011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2066d0cee798eee9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fcdea036fa099398,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6d945652d01b8348,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b7a3d27efac4aa4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b7a3d27efac4aa4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C0_BASE,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84e0b1a9f005abf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C0_BASE,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72224fce4a69dd00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_77d65605b6131c29,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C0_BASE,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b2f18d6baaacbc1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lorden's inequality,
+leanstral-2603,C0_BASE,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e76273691be0b259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f6b71545fdcb7107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C0_BASE,rcd2_634364748a90a118,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_634364748a90a118,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_634364748a90a118,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_634364748a90a118,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pólya–Szegő inequality,Pólya–Szegő inequality
+leanstral-2603,C0_BASE,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_948113ba252422c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0ebd7cb5404107f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C0_BASE,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39d32922d2917502,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_21bc8da7af836da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+leanstral-2603,C1_THEOREM_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+leanstral-2603,C3_HYBRID_RAG,rcd2_1d460e500f94c730,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Chain rule (probability),
+leanstral-2603,C0_BASE,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_761a466d69b2e117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a826153a2a8a4eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf6f6822a7fddd2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec9c3d1531b1033a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C0_BASE,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7287bdc4e2a4b3c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Phragmén–Lindelöf principle,
+leanstral-2603,C0_BASE,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9221229f6927e058,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9221229f6927e058,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C0_BASE,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_76ce52916005f7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Z-channel capacity,
+leanstral-2603,C0_BASE,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,Fluctuation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e3b3d503d3fca92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11908f11076e18e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11908f11076e18e8,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Crossing number inequality
+leanstral-2603,C0_BASE,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cad0a9213db8c474,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_476bdef8512d54e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d12f5ba42d0e1c3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C0_BASE,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_952aa210a64a182e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Freiman's theorem,
+leanstral-2603,C0_BASE,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d8d747a176517b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Increment theorem,
+leanstral-2603,C0_BASE,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b45f83cfcaa3046f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66e56adce49bf3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f01e9eb16c28f1da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1ede75f36b492471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Candido's identity,
+leanstral-2603,C0_BASE,rcd2_ed9b13e997aa522e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed9b13e997aa522e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed9b13e997aa522e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed9b13e997aa522e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C0_BASE,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_849631bb16675719,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C0_BASE,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1df2771ddc898034,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,Kneser's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1df2771ddc898034,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Kneser's theorem,
+leanstral-2603,C0_BASE,rcd2_756ca1f51135fc19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_756ca1f51135fc19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_756ca1f51135fc19,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C0_BASE,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5895315e0da5a7fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C0_BASE,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8904a14f6691a743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8904a14f6691a743,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bobkov's inequality
+leanstral-2603,C0_BASE,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd85631fedc306af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd85631fedc306af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C0_BASE,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5538e71221e6863,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5538e71221e6863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Fekete's lemma,
+leanstral-2603,C0_BASE,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f438d6ffdc27107,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_571ea2805cad316a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C1_THEOREM_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_571ea2805cad316a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C3_HYBRID_RAG,rcd2_571ea2805cad316a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C0_BASE,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9a9df7058477054,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee877ca0fe3e960a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C0_BASE,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b6d7991f94281cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa3e8fe89b61fd08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc5bf0dffd93e787,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_038d0726487a858a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C0_BASE,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_25a81df5efdec9b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cramer's rule,
+leanstral-2603,C0_BASE,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_faea42079c3bf9ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f217d2918a27aa75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f217d2918a27aa75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f217d2918a27aa75,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54c3638114213ea6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C0_BASE,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3603d890199c57a2,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3603d890199c57a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3603d890199c57a2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C0_BASE,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b707f2d18b1c7603,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Egorov's theorem,
+leanstral-2603,C0_BASE,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55b2f8b58588ba72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0495d277cf46a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4ebe666adad051e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb9dfe3d07526342,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_08abac7bcf556ee1,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Lorden's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_08abac7bcf556ee1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_08abac7bcf556ee1,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Lorden's inequality
+leanstral-2603,C0_BASE,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b89d82d5fe50eeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af482c10a640c7f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c3981b40a84f176,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d950260e0fe06168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C0_BASE,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc0cd649fd2d1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b264a4e53d2e58e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C0_BASE,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9dda1fb1830fc535,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7453c7905abd9822,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bda6f46a48027d50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,
+leanstral-2603,C0_BASE,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_14826c326bd44254,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_14826c326bd44254,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C0_BASE,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de30a881468d0dc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Little's law,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de30a881468d0dc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_ARGMIN_ENCODING""]",Little's law,Little's law
+leanstral-2603,C0_BASE,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c115df5ca69d955e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C0_BASE,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f40743c39794bbb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C0_BASE,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45c0cdcdb1531f6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C0_BASE,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de6d155605e596a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_137bd49389530c79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2b6aa7df23ac0ce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ebfeea77f541eed5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C0_BASE,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f5e0f9776804409,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dab0a1e32c46cd81,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d98da6e8928a5d71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d98da6e8928a5d71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d98da6e8928a5d71,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C0_BASE,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53f75062555041f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fekete's lemma,
+leanstral-2603,C0_BASE,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9f3a2cb183325168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8fc1f7b79ad2b5d8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_14c5fe86cf8cd187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc3a4daa4c10e727,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein's theorem (polynomials),
+leanstral-2603,C0_BASE,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e15a57bf17f8747,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Inverse function theorem,
+leanstral-2603,C0_BASE,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_614f341e01a3dbf4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_614f341e01a3dbf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_614f341e01a3dbf4,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C0_BASE,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d182652f64d15377,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d182652f64d15377,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C0_BASE,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b52ae67c6578203a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ebe1b10bcf0f7b5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+leanstral-2603,C0_BASE,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6aba059cfc48fee4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_698b505f15576cf9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a0ab5268ae91117,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_632ce6ae2a61542d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_23b6ea248b4d1529,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Krener's theorem,
+leanstral-2603,C0_BASE,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2645634f4342ea29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_692ce2fae1d2a99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C0_BASE,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5c54e14841a65af5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_223aaeb8e2cc29a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Vaughan's identity,
+leanstral-2603,C0_BASE,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0aae7d77a7f28cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9a9f55fef332e85d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9a9f55fef332e85d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9a9f55fef332e85d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+leanstral-2603,C0_BASE,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0268e09a253ad50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3e1606a8a05dfb32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f721475edae8d8a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_538f1b3d64ba3d2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C0_BASE,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd692272e550967d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C0_BASE,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c38e1a9aa90cb743,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f6837ff58d88c0f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stokes' theorem,
+leanstral-2603,C0_BASE,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d7c0c8e56be26ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+leanstral-2603,C0_BASE,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_580dfb9f389658fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eb1cdafb46958471,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",McKay conjecture,
+leanstral-2603,C0_BASE,rcd2_54d0d54ab623cb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54d0d54ab623cb4d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54d0d54ab623cb4d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C0_BASE,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4237db143118afc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4237db143118afc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C0_BASE,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f94a6fd416e7841e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C0_BASE,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e9fd5b9286bec59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e9fd5b9286bec59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C0_BASE,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a5a8e94e83c013b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fdfd231fc9ccbe65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bd7ad40b7309aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c65edbe4f6a97d93,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e5815f41708e43c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8a6410b8c9d70b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7c33840cee3d7e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levinson's theorem,
+leanstral-2603,C0_BASE,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0347f391dc47e27a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eda24c128bb5aa44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1fa68b7e4b7fef94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6aa99c854981d2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9671818087a90f77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb61a419b3fcebf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C0_BASE,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6d8133b5fb95fcc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C0_BASE,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d404b67d9bd66c68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b1768ebca60d16ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C0_BASE,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_400fe0529b08c459,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f3af443a26ec7f27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hermite's identity,
+leanstral-2603,C0_BASE,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2a80a031e5a1670,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,MacMahon's master theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2a80a031e5a1670,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_40871bd988d22fb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b29094b79c4a298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Levi's lemma,
+leanstral-2603,C0_BASE,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1cf7b1b95b50a2b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d885db3a2c67dd12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b4511256257b8f7e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1709eed4c16b936e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1709eed4c16b936e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1709eed4c16b936e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C0_BASE,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa5100f1e6dd5124,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58b00fed0fcdea27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58b00fed0fcdea27,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58b00fed0fcdea27,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19a38f9ce1a0fef1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aee200fbeb9cb443,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C0_BASE,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_116a693e2961b5b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79ea235f4375ad08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fa9fe5e91bc44fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa9fe5e91bc44fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",AM–GM inequality,
+leanstral-2603,C0_BASE,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78a5e934e382d75b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Modularity theorem,
+leanstral-2603,C0_BASE,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_20c8243ebed6a3f2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0c4b9ff1d3a7b46c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_23567af56c84ed47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a089d96e98f97f3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b762a812f99a27f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C0_BASE,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b15f72b6a74b35d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_760990843ea025a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""OTHER""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_760990843ea025a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_760990843ea025a5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C0_BASE,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb64d19b21cf415e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e23884ea05c0362,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Z-channel capacity,
+leanstral-2603,C0_BASE,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5ed6d56391973512,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_30916e09e2322544,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_98ab3c08773aa3ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90a28b5a708a0116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5007a7b18e99098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C0_BASE,rcd2_e52ae3cea7763931,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e52ae3cea7763931,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e52ae3cea7763931,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e52ae3cea7763931,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C0_BASE,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f466eb6313390031,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4de716123c283067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C0_BASE,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_937c470731ce7876,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_937c470731ce7876,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crooks fluctuation theorem,Crooks fluctuation theorem
+leanstral-2603,C0_BASE,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53151f02ead082d8,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53151f02ead082d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53151f02ead082d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,Hsu–Robbins–Erdős theorem
+leanstral-2603,C0_BASE,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f088e54d7e55d7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f088e54d7e55d7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Monotone convergence theorem,Monotone convergence theorem
+leanstral-2603,C0_BASE,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_22f107839a990c03,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9d11a9ef18d3b94,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9d11a9ef18d3b94,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa26e41b806fc7d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8adce9e68f38ea9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8adce9e68f38ea9f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4324ee05114bd7c5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4324ee05114bd7c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4324ee05114bd7c5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a6fdc7fcadacab5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Inverse function theorem,
+leanstral-2603,C0_BASE,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56f605a46add4da0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d75a202daabcbdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1558748428af68e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57d0412689ad4674,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb83f72f83e1e48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C0_BASE,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d3aea59a89de18e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d3aea59a89de18e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Star of David theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d3aea59a89de18e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C0_BASE,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6d309db7f1ec5026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C0_BASE,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b3196fd766da7961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d428512277484fe4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d428512277484fe4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Algorithmic Lovász local lemma,Algorithmic Lovász local lemma
+leanstral-2603,C0_BASE,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9dd923d1c1b44643,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24003c96d7a2a2dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C0_BASE,rcd2_f5e0cd80f537f6d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f5e0cd80f537f6d8,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f5e0cd80f537f6d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Newton's identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6544d70d1776ff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6544d70d1776ff60,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Newton's identities
+leanstral-2603,C0_BASE,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f5327c01596faa1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C0_BASE,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f7f66003e982af3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_09166ca3c773844b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab28979b838e1741,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5ab0196ac8e3fc0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Faltings' theorem,
+leanstral-2603,C0_BASE,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0edebdbb3c41ca9c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C0_BASE,rcd2_9c2d7b83c8d37c21,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9c2d7b83c8d37c21,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c681b1405e0173d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C0_BASE,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1dd8360b830c0df6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C0_BASE,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e7fa6189d8c7212,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C0_BASE,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b9f7cd5e6e568da7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_41e12b068a5358d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e7f6303a1cabcbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97c8427a633aa7b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C0_BASE,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_31566370fbd15d59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d2f7bb4a50d88f2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1d1e7ae6a119084,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1d1e7ae6a119084,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_71db181bd594c0a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b6b59c788eace49d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cccaa06a55c71a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_06ee32a8f197ecfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_06ee32a8f197ecfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_06ee32a8f197ecfd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C0_BASE,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b56843269588bdf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C0_BASE,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3c89872a1ec5fc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_85f7214e4c61fdd5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Levi's lemma,
+leanstral-2603,C0_BASE,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1ffd58fe65a101e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C0_BASE,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4391be1befcc2a7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d2eedb6dbbdf2131,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70717d373fc802c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rouché's theorem,
+leanstral-2603,C0_BASE,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_32007156be19f493,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Heegner's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_32007156be19f493,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_32007156be19f493,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Heegner's lemma
+leanstral-2603,C0_BASE,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e0ca28669ff9c5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d237fab3e60e88d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C0_BASE,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c0f46c79fa62df68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1744019a21c9c345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df7262d913d91c3f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df7262d913d91c3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e107b4d41688e237,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7ec638fbb4e7bcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Area theorem,
+leanstral-2603,C0_BASE,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f88a3a15473f298a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f342e836b39f7f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C0_BASE,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a3f24e69be744f81,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Linnik's theorem,
+leanstral-2603,C0_BASE,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dacff1bab44377c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dacff1bab44377c7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C0_BASE,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_942007af534b59e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a6bda8c5256b3428,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Chernoff bound,
+leanstral-2603,C0_BASE,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f1d67cf89a02f4e2,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Nullity theorem
+leanstral-2603,C0_BASE,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_284c4e36069f740d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_284c4e36069f740d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,Lubell–Yamamoto–Meshalkin inequality
+leanstral-2603,C0_BASE,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc572f545240c21a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc572f545240c21a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fbf68290c9316d3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C0_BASE,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d140174e28ee1376,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C0_BASE,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2725f5f9f2c3ad29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b194512e976689ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7cca1f9d94753683,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5e1f8f74ab435f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Counting lemma,
+leanstral-2603,C0_BASE,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7d8931cab48db1ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C0_BASE,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c523bdcb28fec188,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C0_BASE,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9b5912af126f4da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a477cacd1cf391fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Little's law,
+leanstral-2603,C0_BASE,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7fc6ac76d4bec155,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56f76965713227a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe29b83f296013a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C0_BASE,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d644a5555e82c43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_863144497be80cef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9cfb5b4eec9cdb0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C0_BASE,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34d2a927ddd1129f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_515d7ced002a9b70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_449045aecf10e217,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_371b9cea27feee89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bf0832f8f94f777,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C0_BASE,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d4aab83bd9b79ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C0_BASE,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bd60644b867e61a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_140a0a59275c058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C0_BASE,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8138304064ceb27c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cfc82b4caabb831f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cfc82b4caabb831f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cfc82b4caabb831f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cfc82b4caabb831f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C0_BASE,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_41b05dde5d1f34e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3027fcf7c8dc6b33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47263e81fcbc8780,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64e6c72608846363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Heegner's lemma,
+leanstral-2603,C0_BASE,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8efb3046b53d7291,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d8c0670d4f03b48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C0_BASE,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a9deda1b688b01e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a9deda1b688b01e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a9deda1b688b01e,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04cdded7da9d69cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b24ebda69d5748ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9168cf7e4ec22bfe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9168cf7e4ec22bfe,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Polarization identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9168cf7e4ec22bfe,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C0_BASE,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1aa51d4357229ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a926f857dae1e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7675c5800ff26d04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4c656adde11cce84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wendel's theorem,
+leanstral-2603,C0_BASE,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_73382c6671d7a7e4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_73382c6671d7a7e4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+leanstral-2603,C0_BASE,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7eedc912c750029b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7eedc912c750029b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+leanstral-2603,C0_BASE,rcd2_b774d9f88a081ec4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b774d9f88a081ec4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b774d9f88a081ec4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11e20257a0343a39,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C0_BASE,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c0c590dc38e713c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42acb3e20cdb35e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f476df9c0195810f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f476df9c0195810f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+leanstral-2603,C0_BASE,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d36b73d914376f82,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d4919de59b28c6b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kramers' theorem,
+leanstral-2603,C0_BASE,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c34a3749e5249dea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C0_BASE,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd798d267a9f7dce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1522c1604ce63b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_15d99cc07a09b062,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_15d99cc07a09b062,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_15d99cc07a09b062,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_15d99cc07a09b062,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Green's theorem,Green's theorem
+leanstral-2603,C0_BASE,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a81eaa15bf94d335,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7525d4038685ff84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2db97c67f9117372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C0_BASE,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa82f501ce247ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C0_BASE,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1121d7f9c170e80f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C0_BASE,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_36cad5745e697150,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a0db399d494d6cc3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C0_BASE,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d103ecd58360ce43,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d103ecd58360ce43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_36f3c24413d9865a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Z-channel capacity,
+leanstral-2603,C0_BASE,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bcb6b491db2cf325,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C0_BASE,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa4ff5680134fac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C0_BASE,rcd2_329d353a6eb4c91b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_329d353a6eb4c91b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_329d353a6eb4c91b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C0_BASE,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_995e5cd574e03e9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b83d4c4ea8558cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C0_BASE,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0cf6fcecae3434be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0cf6fcecae3434be,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hensel's lemma,Hensel's lemma
+leanstral-2603,C0_BASE,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be4ff09239c0b1f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9b8f21562034ceac,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9b8f21562034ceac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9b8f21562034ceac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_233e1c22ab71f448,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C0_BASE,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84c24e4318c53e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2412d6b170787f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C0_BASE,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc624f6c6eea273a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_97d36d88d3b74c5d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97d36d88d3b74c5d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97d36d88d3b74c5d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C0_BASE,rcd2_f95d5f9eda29de92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f95d5f9eda29de92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f95d5f9eda29de92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f95d5f9eda29de92,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+leanstral-2603,C0_BASE,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18e6e4b6ef5a385c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9c3eb0cff1973c09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0323683fa7cdb075,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C0_BASE,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f24d674cd9bb9c51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C0_BASE,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b5af430a16d572f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1e7e767a751b8627,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4c1c1dbd72e8b721,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C0_BASE,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9bcdfb75e48fb4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af76dfa4678f2b98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c131c588678e6c92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c79e627c250f825e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C0_BASE,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_589cd8c72ec8ca6e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C0_BASE,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_257c5e8f1b48073e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_257c5e8f1b48073e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_257c5e8f1b48073e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_CYLINDER_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_679d534f7b2306bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f47e85457034d84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f47e85457034d84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C0_BASE,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f86e49aa033be464,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C0_BASE,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df1d630b8c15acda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_029935f0441b5f1a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58eb9cc93309324d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f310800c7dea7ee7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81151b04d69f1e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_50c2b5858bbbe5e6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b9556f41f27f95c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2b54d8c32350571,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Spectral theorem,
+leanstral-2603,C0_BASE,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5624d9cfc8f3057f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_354eefb0b3c95036,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C0_BASE,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d582b6f48743811,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C0_BASE,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d9fa04ba3c46ed28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C0_BASE,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac3cc683384f792e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a82b91c9cc25bbf4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Bézout's identity,
+leanstral-2603,C0_BASE,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86e266c9f6ffa02f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C0_BASE,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3a5023d67bdabaa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C0_BASE,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e3893ae63008122,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6158bc0d6a69616e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6158bc0d6a69616e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6158bc0d6a69616e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C0_BASE,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7db20c8f88fbd047,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C0_BASE,rcd2_0f4e90dc787a7e12,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f4e90dc787a7e12,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f4e90dc787a7e12,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hadamard's inequality,Hadamard's inequality
+leanstral-2603,C0_BASE,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7451385e4c8cadf2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02e2f614155241f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02e2f614155241f0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_32d46eeb0976b08b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C0_BASE,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c631207196551331,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_80452960dd0ea28f,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Boole's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_80452960dd0ea28f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8ab108aef8d07ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47adcf921f38d1fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64066911f7e0436b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C0_BASE,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_deb9a5ad0da90e95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c302dc27768b448,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5bfddb70ebef744,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb188a9c4a471096,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Turán–Kubilius inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb188a9c4a471096,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb188a9c4a471096,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Turán–Kubilius inequality
+leanstral-2603,C0_BASE,rcd2_a49f20f250c3a0bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a49f20f250c3a0bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a49f20f250c3a0bc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C0_BASE,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aced321953bc42a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_948d712cb0d53a3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C0_BASE,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_afd4e3123b284fbf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5fece05c8bbb8f8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Krasner's lemma,
+leanstral-2603,C0_BASE,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3383917b897119ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c388a1ff72d4d5b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C0_BASE,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e617699330fc909,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Green's theorem,
+leanstral-2603,C0_BASE,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b371187124cbb364,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f21ca9f04335fec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eaa87c740dbd8194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72498ba40bedf195,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C0_BASE,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d313640481cf5d51,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad1fd20c8971e7b4,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+leanstral-2603,C0_BASE,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc2a1a7e18d01374,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d7639bc5c246cba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6dfa49341e262190,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6dfa49341e262190,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C0_BASE,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_52c36ead880e3490,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C0_BASE,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8b269c82b3cf897e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02e8447fd8f4924c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39adc236cdc88c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C0_BASE,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_92efe0eadb00bdec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c28623cbe7005233,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_243e8a08abfee861,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Robbins lemma,
+leanstral-2603,C0_BASE,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5045ac202e7b4f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b95ee9f6ae21b22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5caf95f0b8dbb1c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0ed49b8cd35c55cb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5f9ab5992454b61,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Abel's binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5f9ab5992454b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2617f9a8d5fa0a60,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Watson's quintuple product identity,
+leanstral-2603,C0_BASE,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2c03f1e05799b1b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C0_BASE,rcd2_4fbced180603254d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fbced180603254d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fbced180603254d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fbced180603254d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+leanstral-2603,C0_BASE,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43ac840ff27faab0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e146cb929aed98a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42dc19e39f12a5e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42dc19e39f12a5e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2db12257da870853,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ce3b0ab5b92b143,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Summation by parts
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7c6e537eeffd4cd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Summation by parts
+leanstral-2603,C0_BASE,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f62c7aba88ac23b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47756d4f4013d84d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47756d4f4013d84d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47756d4f4013d84d,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Zolotarev's lemma,Zolotarev's lemma
+leanstral-2603,C0_BASE,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4e984d9b3650490,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc406facfa87c6f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C0_BASE,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d3626908e6c7a4e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d3626908e6c7a4e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C0_BASE,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7968c1d56820f3e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7968c1d56820f3e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Williamson theorem
+leanstral-2603,C0_BASE,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_097eac3dbe50fedd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Spectral theorem,
+leanstral-2603,C0_BASE,rcd2_ccb8f9546dfb5b59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ccb8f9546dfb5b59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58a4ecc1bf09f353,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C0_BASE,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_87b8609d7fac92a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5d9a970557c9818a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d9a970557c9818a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d9a970557c9818a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d9a970557c9818a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C0_BASE,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7fa2f111773629ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00c7886d15ed0922,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb9df7b73dd393f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_88248e992df8669a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_88248e992df8669a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",H-theorem,
+leanstral-2603,C0_BASE,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64e0fe4d84fd62c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C0_BASE,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2326a292c9193da,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2326a292c9193da,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2326a292c9193da,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3951853aba3dc64d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",H-theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3951853aba3dc64d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C0_BASE,rcd2_2e71e8324783bfbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e71e8324783bfbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e71e8324783bfbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e71e8324783bfbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Stokes' theorem,
+leanstral-2603,C0_BASE,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c6baff5744619de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C0_BASE,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f635bc37077cc843,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f635bc37077cc843,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+leanstral-2603,C0_BASE,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74a3cc29c414f4c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cf2dbc3b52d43dc7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf2dbc3b52d43dc7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,Hoeffding's lemma
+leanstral-2603,C0_BASE,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1c8128d945f9654,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_859dbdc76e7d133f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_859dbdc76e7d133f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_966e3224f42df48d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C0_BASE,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d101b825b25935a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b4554633aa4fdf6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hurwitz's theorem,
+leanstral-2603,C0_BASE,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_633318ec15b6185d,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]",[],,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_633318ec15b6185d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81b10cea8f8588f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2937b3bde7d85c0,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Hsu–Robbins–Erdős theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2937b3bde7d85c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2937b3bde7d85c0,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_ARGMIN_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Hsu–Robbins–Erdős theorem
+leanstral-2603,C0_BASE,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7354341cda00c486,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_796ed78bbe8a30b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8111c563d3a2bb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2453181529f15c7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2453181529f15c7a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+leanstral-2603,C0_BASE,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_03ec65b64f40a088,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C0_BASE,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_851ddeb1ace23c04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc0b3fbb52957df9,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc0b3fbb52957df9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc0b3fbb52957df9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C0_BASE,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d5548e25ffffc87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Bobkov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8cca6c1b9332ed70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8cca6c1b9332ed70,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Bobkov's inequality
+leanstral-2603,C0_BASE,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7842b1390f217ec2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7842b1390f217ec2,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b31fc8e3197da93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b86800624469e903,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b86800624469e903,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,Summation by parts
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b86800624469e903,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b86800624469e903,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Summation by parts,
+leanstral-2603,C0_BASE,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d663cbf2c7b6adfd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d169c23992f321ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f43ee36bf2710e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_634754a1eb4b7c75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Siegel identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_634754a1eb4b7c75,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C0_BASE,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02cc30dd6ea0028e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C0_BASE,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_dd323150feaf36a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C0_BASE,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ecf8778a2f4a9ff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6550e1d35346fcff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_94b3835d843a9bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C0_BASE,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e854aa38de2f006,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C0_BASE,rcd2_4765990d914e8410,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4765990d914e8410,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4765990d914e8410,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+leanstral-2603,C0_BASE,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7e68672988a8c09b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_419a52fb6906f864,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_419a52fb6906f864,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_419a52fb6906f864,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C0_BASE,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a91d2b6ab8a35bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C0_BASE,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df6d7cd0b9f14afe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fbfcfa6f1d48cdaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C0_BASE,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec6b675d0918f946,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a61b1350c6f72a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a61b1350c6f72a6,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+leanstral-2603,C0_BASE,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75f2e9c2113da37a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Heegner's lemma,
+leanstral-2603,C0_BASE,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_231669c533010b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0890c184756195c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C0_BASE,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8e12304e3be51fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1880bdb7bf1bdccf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ae9f3d2582ae81be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C0_BASE,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_052024d51ce6cdc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C0_BASE,rcd2_d681e3d9b8f77b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d681e3d9b8f77b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_d681e3d9b8f77b08,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein's theorem (polynomials),Bernstein's theorem (polynomials)
+leanstral-2603,C0_BASE,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc3871ff051016d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc3871ff051016d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_96384db79cc21de9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C0_BASE,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2cf597607883193e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c263c3123478521c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C0_BASE,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f1c66880ecd94478,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f1c66880ecd94478,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Lovelock's theorem,Lovelock's theorem
+leanstral-2603,C0_BASE,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3008bad5f97eefe7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3008bad5f97eefe7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3008bad5f97eefe7,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C0_BASE,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72cee9e25a352c10,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe9c08768ee3e835,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe9c08768ee3e835,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+leanstral-2603,C0_BASE,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_cee3925e826249e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C0_BASE,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57b2e6571f37e1d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57b2e6571f37e1d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,McKay conjecture
+leanstral-2603,C0_BASE,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c5de4f87f02d035,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee1a42b84d296e37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c019550e70373d8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c019550e70373d8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,Carleman's condition
+leanstral-2603,C0_BASE,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb0aac224f3c9401,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a8d059727b1a87ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C0_BASE,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_25b7aafb33caa4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_25b7aafb33caa4ae,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Wendel's theorem,Wendel's theorem
+leanstral-2603,C0_BASE,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e6324a202700bbff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e6324a202700bbff,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Ky Fan inequality
+leanstral-2603,C0_BASE,rcd2_907e8e62a9b3cc93,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_907e8e62a9b3cc93,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_907e8e62a9b3cc93,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Chebyshev's inequality,Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e76865528cf245a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C0_BASE,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b37b61b755b08c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_670a6515d5028282,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's Theorem
+leanstral-2603,C3_HYBRID_RAG,rcd2_670a6515d5028282,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Green's theorem,Green's theorem
+leanstral-2603,C0_BASE,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af510d626a5e6451,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rayleigh's theorem,
+leanstral-2603,C0_BASE,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be08db64fdbf8be9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_21ebc5c300b2d092,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c675fb3bedf7e775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C0_BASE,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ba74ac1204ebda6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1f1a4a2aecedcaec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f7dd10464b664bba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C0_BASE,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d26fba0b5e7bf73c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C0_BASE,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8f100085997f7dca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f3f214ae12bb31b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C0_BASE,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_17310001f1e66b61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64daec978b365b77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_702761e49087d166,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Thue's lemma,
+leanstral-2603,C0_BASE,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a9a1c87d82570ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a9a1c87d82570ea,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+leanstral-2603,C0_BASE,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0ed9f734b94c771,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0ed9f734b94c771,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_efc2212eb1498006,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_efc2212eb1498006,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf36bad801bb7d69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_139164e5f15d8d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2754949756464731,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2754949756464731,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2754949756464731,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Van den Berg–Kesten inequality,Van den Berg–Kesten inequality
+leanstral-2603,C0_BASE,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0083c364bac5c646,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Difference of two squares,Difference of Squares
+leanstral-2603,C3_HYBRID_RAG,rcd2_0083c364bac5c646,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Difference of two squares,
+leanstral-2603,C0_BASE,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38df1f41c4b8bdb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00576ae0a7ad4edd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00576ae0a7ad4edd,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b07850bf1721e4a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Blow-up lemma,
+leanstral-2603,C0_BASE,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9140ab99617daa3d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C0_BASE,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f8453b890d2aec4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8b182682bc94b8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C0_BASE,rcd2_b71fc318aa688e24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b71fc318aa688e24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b71fc318aa688e24,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's identity,Lagrange's identity
+leanstral-2603,C0_BASE,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dde5444f0ccc9662,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e9451cf295086a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95febd58dc0af42f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95febd58dc0af42f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95febd58dc0af42f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f836772b34ddeafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e368cbc0ec2d244,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de76957965c6caaf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de76957965c6caaf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Besicovitch inequality,Besicovitch inequality
+leanstral-2603,C0_BASE,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4706f2ee0a8735df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f22d5049b164522b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,Arakelyan's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f22d5049b164522b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C0_BASE,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba8a10de4e0c869e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c32030e4be9f534f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56676c1dc73124fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab887bba2309d414,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Jacobi identity,
+leanstral-2603,C0_BASE,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_69d3ec88ae62a5ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C0_BASE,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_090b50da6a7b51a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e735f17e4cb2579,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C0_BASE,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8050810cd7165bbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0fed139c792f5c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_796a8fd6b07dfb9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c57e6bc97613c4a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19ede91213218b1c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19ede91213218b1c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Coupon collector's problem,Coupon collector's problem
+leanstral-2603,C0_BASE,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1714b2197e0df337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_68c07787d38d59e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C0_BASE,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e9f46a51437dbae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e9f46a51437dbae,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C0_BASE,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a2979a9fa5f3509b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C0_BASE,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc1719c4880987a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C0_BASE,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61f6a20f68bb7135,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4787894d9b6c92e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01b3278fd4d1655e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_221e6e4a3a8f8912,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_221e6e4a3a8f8912,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8df182e84ca5609,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bd3b5b46d72f032,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5021923862ca6533,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_344e266ebd996f46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f3330baa54a83c2,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER""]",[],,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f3330baa54a83c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2af3f756c8bddfe0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c50e3f33967f970,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C0_BASE,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24dfdf7f73739e84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_62a13f9073cccc13,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_62a13f9073cccc13,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grönwall's inequality,Grönwall's inequality
+leanstral-2603,C0_BASE,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1845c829ef20f184,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_44a7c50d61d6d32a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C0_BASE,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3320efa41eaed82f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a0adb7309e16abf0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_523a092009c1b1d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cramer's rule,
+leanstral-2603,C0_BASE,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf34bfd0ced7a71e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Chernoff bound,
+leanstral-2603,C0_BASE,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3e2671302a86e316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3e2671302a86e316,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]",[],,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_36f3579ab6197755,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1053f371d5bbc04f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C0_BASE,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7015e8794026b826,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C0_BASE,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f1d9202c410fe858,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi identity,
+leanstral-2603,C0_BASE,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee5a6149c394ff89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Landau–Mignotte bound,
+leanstral-2603,C0_BASE,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_518c7d76999f90a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0774fd29a9444691,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3f02ce8647f5d9b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f02ce8647f5d9b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C0_BASE,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d5dde7b91155a112,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d5dde7b91155a112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f084de370643632,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8fc01340d78a2598,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C0_BASE,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_220c81d8b362f866,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0d6efa3d983b13b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C0_BASE,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5dc14359a83ad290,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0ebcaf12a4f3fabc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_caf326726baf1f6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e674b443191fa3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3dd034df48cf00a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9358cdec1ddbb61,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C0_BASE,rcd2_3283df5361d881cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3283df5361d881cf,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3283df5361d881cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3283df5361d881cf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C0_BASE,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_abfb4f0a02bb4cbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C0_BASE,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_312c7c894ebb0841,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C0_BASE,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c0a66776b99a5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e63c83991d967091,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e257edef3763734,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ce572f6689579f9e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Coupon collector's problem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ce572f6689579f9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ce572f6689579f9e,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Coupon collector's problem
+leanstral-2603,C0_BASE,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4896aaaef9cf8431,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C0_BASE,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d3796675a03efc33,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c34474d3e5fcaf3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6940414e1caf93e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e07e8a525668b9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb6c8e4b6fe5be28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C0_BASE,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a950f010f75e986,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5f78a6caf5fb7b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f78a6caf5fb7b0b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Pigeonhole principle,Pigeonhole principle
+leanstral-2603,C0_BASE,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07f026e3826722d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_afe45b299f26f5db,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9245ac2d68fde542,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a597f88e03b8f3f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bbea76c382b5f9a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67b20158f5f3c59d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67b20158f5f3c59d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67b20158f5f3c59d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_43498570b9f5ed2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43498570b9f5ed2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43498570b9f5ed2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C0_BASE,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac6fee486de13b11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2491b51ecb7add07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9ef836058c9852b2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d39d5db4e351d914,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f60b4d7bd538dcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b4f39cbdbd92cac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b3e09b09c8e7a128,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e4388fce0fc3626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b30c47e62cd70c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f23638ce87b5236e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_871e60af784b6cfc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_244848d2006756c6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C0_BASE,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a8591160976e2bbc,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a8591160976e2bbc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a8591160976e2bbc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_QUANTIFIER_ENCODING""]",AM–GM inequality,AM–GM inequality
+leanstral-2603,C0_BASE,rcd2_17b28f42d0daff3e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+leanstral-2603,C3_HYBRID_RAG,rcd2_17b28f42d0daff3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_WITNESS_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf6131a88c5702dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e258b6bb675d4a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C0_BASE,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d519a6e86800976,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Polarization identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d519a6e86800976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d519a6e86800976,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Polarization identity
+leanstral-2603,C0_BASE,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d6256fe8ae9c0301,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Romanov's theorem,
+leanstral-2603,C0_BASE,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fcfaab3ef248947a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9dae063dc56fd3ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_546d95a02dfd916b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_546d95a02dfd916b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,Modularity theorem
+leanstral-2603,C0_BASE,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f79c4fbaea8ee80,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C0_BASE,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6f34f8d0cf0d2b15,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C0_BASE,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8314e468a62279d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3eb88713bc29fc13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e5a54f9578a1003,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a16554ed1c7d80f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d3403565b00e5b14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d3403565b00e5b14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d3403565b00e5b14,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C0_BASE,rcd2_68bc150e83fe54ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_68bc150e83fe54ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_68bc150e83fe54ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Watson's quintuple product identity,Watson's quintuple product identity
+leanstral-2603,C0_BASE,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3efeebf990d21724,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,Bennett's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3efeebf990d21724,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bennett's inequality,
+leanstral-2603,C0_BASE,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_23596090158edf6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,Blackwell's informativeness theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_23596090158edf6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Blackwell's informativeness theorem,
+leanstral-2603,C0_BASE,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_693fbd3b8e1b67ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39638a357deb4ba3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C0_BASE,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f7a8e363ba445803,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f7a8e363ba445803,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cox's theorem,Cox's theorem
+leanstral-2603,C0_BASE,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a2b19b2a9a3d9ee1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Isolation lemma,
+leanstral-2603,C0_BASE,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_31643e59601b7728,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a88b04ab08c0568b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Star of David theorem,
+leanstral-2603,C0_BASE,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b51fee6fe29de607,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C0_BASE,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3929fec4ad3eb4ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_92d22c7368982b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6d765398ff87bf0f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e9fc170b9b780ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C0_BASE,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd8e09e4be656699,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cec1e2ba840ba517,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cec1e2ba840ba517,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C0_BASE,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95985190ecca4d66,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C0_BASE,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bcee159fc31934c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cfc80f04c5aa4555,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_190ca1d899cdf4ae,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Nullity theorem,
+leanstral-2603,C0_BASE,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a8d8a8c0dcdad95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_793aceeafe82e861,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_944433ba6c355b91,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C0_BASE,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af9a177f5cbd6c05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C0_BASE,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_341c71eedf0090c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dbc514a2f24ac528,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dbc514a2f24ac528,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C0_BASE,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+leanstral-2603,C1_THEOREM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+leanstral-2603,C3_HYBRID_RAG,rcd2_60030e5b63e3af9f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bioche's rules,
+leanstral-2603,C0_BASE,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b650746152392497,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b650746152392497,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+leanstral-2603,C0_BASE,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_767846360d8c4333,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kakutani's theorem,
+leanstral-2603,C0_BASE,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_941f2cdbe5148439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd222614e7fb28cc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd222614e7fb28cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fisher's inequality,
+leanstral-2603,C0_BASE,rcd2_eebd6b7162958bd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eebd6b7162958bd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eebd6b7162958bd9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+leanstral-2603,C0_BASE,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d2cfca90c5462668,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ky Fan inequality,
+leanstral-2603,C0_BASE,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2bd2a97a35a567a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_48286380f84af5f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cfbb1aa385189c64,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cfbb1aa385189c64,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cfbb1aa385189c64,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C0_BASE,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a35351e4016be346,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C0_BASE,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e107fe3b6fed2cdd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d88e26efcbfd644,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C0_BASE,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_88d072b751a637f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_647ef1a497eb0ec3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7bf8e183d5ebd752,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C0_BASE,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_33fd191b26a5e871,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb7c634e8d3fc268,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb73da85addec97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C0_BASE,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90f78859c14cbbbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C0_BASE,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_068008c354e81834,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec68cf907459bc64,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec68cf907459bc64,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Blackwell's informativeness theorem
+leanstral-2603,C0_BASE,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d7dd1072b819ebcb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Isolation lemma,
+leanstral-2603,C0_BASE,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed2a28d23fa12b58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed2a28d23fa12b58,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,Dimension theorem for vector spaces
+leanstral-2603,C0_BASE,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_890d38a74ff86e8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Markov's inequality,
+leanstral-2603,C0_BASE,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ca164c71d3ee8faa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3609065936e58407,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3609065936e58407,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3609065936e58407,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3609065936e58407,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C0_BASE,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eb88865c72e145e2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b35e3ba8cba73746,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b35e3ba8cba73746,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2517333cb46b1e86,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2517333cb46b1e86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2517333cb46b1e86,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_e0ec56edf1b74a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e0ec56edf1b74a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e0ec56edf1b74a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0a1259f665e3ec95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_616d5b69320ed85b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cbfbbf21f7af9351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbfbbf21f7af9351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbfbbf21f7af9351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C0_BASE,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55e852bfa2da2fce,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+leanstral-2603,C1_THEOREM_RAG,rcd2_411151b88a3e8ef4,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_411151b88a3e8ef4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,
+leanstral-2603,C3_HYBRID_RAG,rcd2_411151b88a3e8ef4,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental theorem of algebra,Fundamental theorem of algebra
+leanstral-2603,C0_BASE,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b31b2faf9eca9380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b31b2faf9eca9380,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+leanstral-2603,C0_BASE,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f50e75abbb78d90b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C0_BASE,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4dfc63745a1758f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d312f99ac6b693d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c74ce8e8d4b43025,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e29fcf19657a4dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e29fcf19657a4dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,Pfister's sixteen-square identity
+leanstral-2603,C0_BASE,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b96dc0b0510033d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Mean value theorem,
+leanstral-2603,C0_BASE,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_77281c02683a32a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wendel's theorem,
+leanstral-2603,C0_BASE,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf8ab196d60d358c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d72b30310d558329,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lumer–Phillips theorem,
+leanstral-2603,C0_BASE,rcd2_c165c87dc83b14de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c165c87dc83b14de,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c165c87dc83b14de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c165c87dc83b14de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C0_BASE,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7243a987f2281c5b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d3f05bc90c34543,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbac10a8dfe6b970,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a197999b9591aa6,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Bernstein's theorem (polynomials)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a197999b9591aa6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a197999b9591aa6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Bernstein's theorem (polynomials)
+leanstral-2603,C0_BASE,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c8461ee86eddb03,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c8461ee86eddb03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c8461ee86eddb03,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_517c42360016a53d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_517c42360016a53d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Crooks fluctuation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d69b6862a9a89c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d69b6862a9a89c12,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Crooks fluctuation theorem
+leanstral-2603,C0_BASE,rcd2_7587757d52c29b6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7587757d52c29b6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7587757d52c29b6c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_55a44ddb5f6fabde,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55a44ddb5f6fabde,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55a44ddb5f6fabde,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C0_BASE,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cfbdaa71e99301c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Bertrand's postulate
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a6311bbbe49ce73c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_283c5c30644963e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39d13f2433329ea2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_31327a568592e299,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_60301da20e6f1763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee3e90cff8968545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_52ac27e141145b01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C0_BASE,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d84bb6be2f864d83,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d84bb6be2f864d83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d84bb6be2f864d83,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Siegel identity
+leanstral-2603,C0_BASE,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_159436c9d4777b1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb69aa8cc62c4a2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C0_BASE,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19c1225e47d56d54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Increment theorem,
+leanstral-2603,C0_BASE,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_41fea515b95d58d5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_41fea515b95d58d5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_41fea515b95d58d5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+leanstral-2603,C1_THEOREM_RAG,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_123f14a7f2633b9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gauss congruence,
+leanstral-2603,C3_HYBRID_RAG,rcd2_123f14a7f2633b9e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04d14a2d515e1840,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04d14a2d515e1840,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+leanstral-2603,C0_BASE,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84dfbbc36744f196,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84dfbbc36744f196,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C0_BASE,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_35b73db375a4b495,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_25b8eb8127e34d26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cec90a0bb91ea8ae,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10978a235b412221,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,Kreiss matrix theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10978a235b412221,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10978a235b412221,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,Kreiss matrix theorem
+leanstral-2603,C0_BASE,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6314531c7a19d8aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8abc3c4b938ff082,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b60dec5e2d42ce2f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Fundamental theorem of arithmetic
+leanstral-2603,C0_BASE,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_525542abde309078,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Faltings' theorem,
+leanstral-2603,C0_BASE,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbd0ea899c7ec55d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0127f6912998dda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C0_BASE,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a64017c2b02a4ea3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C0_BASE,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac3af4352833ad00,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac3af4352833ad00,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac3af4352833ad00,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_98543c2a9525bff1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C0_BASE,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d45f1486dfb2f3f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C0_BASE,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e80fd877c33c9be,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e80fd877c33c9be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e80fd877c33c9be,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b197f365cd76033,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b197f365cd76033,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C0_BASE,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a2101a693d97c462,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e30669bda4940bea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C0_BASE,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d5df18460cbc8020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Inverse function theorem,
+leanstral-2603,C0_BASE,rcd2_a5bdc561039802de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5bdc561039802de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5bdc561039802de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5bdc561039802de,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Grosswald–Schnitzer theorem,Grosswald–Schnitzer theorem
+leanstral-2603,C0_BASE,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2f6b2975524b2f8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C0_BASE,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_223e2d28caa08d61,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e8b5934018610a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9c3b1ae695c4e7f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a3218b641672cd96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb1e9e8b1f3c2814,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_356b21caa34d6606,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C0_BASE,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a1cd9b0fb4df8e09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d94dca54eb3f0710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hensel's lemma,
+leanstral-2603,C0_BASE,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_388ac31b6d540511,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C0_BASE,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6350289756401f51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C0_BASE,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1eaa9c524bf4dcf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a80cf1081bd6ca47,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C0_BASE,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_139791a8e845a3aa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_672c640d21c42c2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_672c640d21c42c2e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Thom's second isotopy lemma,Thom's second isotopy lemma
+leanstral-2603,C0_BASE,rcd2_81562b21b537047b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81562b21b537047b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81562b21b537047b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_83b3698f24359686,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2045edbbecbd8a44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Primitive element theorem,
+leanstral-2603,C0_BASE,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_05f8a13a9a09953b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0f4d369fa758b42,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Favard's theorem,
+leanstral-2603,C0_BASE,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4e498a54d518de7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4e498a54d518de7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Vaughan's identity,Vaughan's identity
+leanstral-2603,C0_BASE,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55c3c4a8494aedf8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d643e1a82c86e5e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C0_BASE,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_649860875608600b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f75ec3554dd84866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rising sun lemma,
+leanstral-2603,C0_BASE,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_93df160222180fd3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_93df160222180fd3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c982ac31e833a20c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba901bad0f8fd953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee583f3e101490b0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b4a1afbad71560d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b4a1afbad71560d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C0_BASE,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad2b52a88e1233cd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5be8fa486a3df452,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5be8fa486a3df452,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5be8fa486a3df452,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5be8fa486a3df452,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C0_BASE,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ee622389ec0b8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7e0320fae30d262d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7e0320fae30d262d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7e0320fae30d262d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_PAIR_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C0_BASE,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be902f33472a071c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec6f4c2dd6493552,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6373106f31e15a01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3cb509ebf9ff516,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C0_BASE,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e22dc8dfed2bb9dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_faf9a4052cf78f49,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d286672ddfae1b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d286672ddfae1b6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ea278a9b6aad7a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C0_BASE,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ead79d6c07914ca6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C0_BASE,rcd2_66b3a30f40c0cb4c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66b3a30f40c0cb4c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lagrange's identity,Lagrange's identity
+leanstral-2603,C0_BASE,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07e1ecb9b17e135b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42507491714c8865,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C0_BASE,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ecf5252812140704,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bonse's inequality,
+leanstral-2603,C0_BASE,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19c07cb5e2729996,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19c07cb5e2729996,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19c07cb5e2729996,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Levinson's theorem,Levinson's theorem
+leanstral-2603,C0_BASE,rcd2_513ee5d5fa6e80ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_PAIR_ENCODING""]",[],,Sophie Germain's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_513ee5d5fa6e80ca,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Sophie Germain's identity
+leanstral-2603,C0_BASE,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4ec79913cc3a6f71,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C0_BASE,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_545672e45bb5b356,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Nesbitt's inequality,
+leanstral-2603,C0_BASE,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_390c1c6d2995b6a5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Freiman's theorem,
+leanstral-2603,C0_BASE,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_426b341ddb8f6280,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_059ff7760fca7545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_059ff7760fca7545,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fine and Wilf's theorem,Fine and Wilf's theorem
+leanstral-2603,C0_BASE,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8e4a5f75863c9b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43edff8786f78d9b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43edff8786f78d9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43edff8786f78d9b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Siegel identity
+leanstral-2603,C0_BASE,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bcdae22d06e8581,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C0_BASE,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1892c77e0386bf97,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Rolle's theorem,
+leanstral-2603,C0_BASE,rcd2_ad2870e899701403,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad2870e899701403,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad2870e899701403,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Azuma's inequality,Azuma's inequality
+leanstral-2603,C0_BASE,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_775d36d5e6b61bf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7d912f7d77dce5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7d912f7d77dce5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7d912f7d77dce5b3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Weinstein–Aronszajn identity,Weinstein–Aronszajn identity
+leanstral-2603,C0_BASE,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bed71c5d22f32ed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f12633f809bb3f38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C0_BASE,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9b9a92afa64d97f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Algorithmic Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+leanstral-2603,C1_THEOREM_RAG,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_77e089cdb878a33c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Bayes' Theorem
+leanstral-2603,C3_HYBRID_RAG,rcd2_77e089cdb878a33c,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bayes' theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C0_BASE,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_adde373de73699ee,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_adde373de73699ee,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02c8b5a2c96bdd46,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_698f9fc04b82842e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5045a18b7df21f11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_87c92912920beaab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8f6540c27d0225a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54ea12fc86035a19,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54ea12fc86035a19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54ea12fc86035a19,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d60f60ee800ae63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bcae77716a3be1e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e6e9fb695b581585,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4d79778b15ea76e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C0_BASE,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e390ae189e5eaf5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_deb3fb8b91d7e4df,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2953be1eec69048,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_815a6357338730de,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Helmholtz theorem (classical mechanics)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_815a6357338730de,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_471e0fe9ea67bbb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C0_BASE,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_20c601af36168175,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,Milliken's tree theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_20c601af36168175,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C0_BASE,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f50e7ce9f2ce4995,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b1501a2599cc518,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ddf7df57ca99ebe7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd5032b15b555370,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]",[],,Artin–Rees lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd5032b15b555370,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd5032b15b555370,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]",[],,Artin–Rees lemma
+leanstral-2603,C0_BASE,rcd2_7400f11bba61556c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7400f11bba61556c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7400f11bba61556c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7400f11bba61556c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chernoff bound,
+leanstral-2603,C0_BASE,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9da01090e14fe7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+leanstral-2603,C1_THEOREM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+leanstral-2603,C3_HYBRID_RAG,rcd2_41375a332c163790,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem (differential equations),
+leanstral-2603,C0_BASE,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0cc5999a19e27690,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Kneser's theorem,
+leanstral-2603,C0_BASE,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee78adfb683ee0e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee78adfb683ee0e3,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Etemadi's inequality
+leanstral-2603,C0_BASE,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1b5a0b832e0471a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1e74dbd6ddef6a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Cohn's theorem,
+leanstral-2603,C0_BASE,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9256a7c53b6fdd6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f919da2067878c0,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f919da2067878c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f919da2067878c0,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C0_BASE,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9a8b9dd4ba9e3134,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6ef558911f68423b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Perron's irreducibility criterion,
+leanstral-2603,C0_BASE,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1cb46f2e358e8ada,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Andreotti–Grauert theorem,
+leanstral-2603,C0_BASE,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00f7292d85e84eaa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5827d92d7cc6772d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_448b410649f3402c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Krener's theorem,
+leanstral-2603,C0_BASE,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_87f6a8843be67c9b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Isolation lemma,
+leanstral-2603,C0_BASE,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9678baf8091d35df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C0_BASE,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9b4ec8d2c442e68c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Itô's lemma,
+leanstral-2603,C0_BASE,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf24cb9649814781,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_abfc580d0ff9b97c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C0_BASE,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b4084de9493facb4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C0_BASE,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ab01ef82febac18,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C1_THEOREM_RAG,rcd2_292bbc9ad9a22281,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C3_HYBRID_RAG,rcd2_292bbc9ad9a22281,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C0_BASE,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_678db6a4a076b3e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_678db6a4a076b3e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6af3100ebe91b319,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Erdős–Anning theorem,
+leanstral-2603,C0_BASE,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8a1adbd0c47a076,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8a1adbd0c47a076,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8a1adbd0c47a076,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Star of David theorem
+leanstral-2603,C0_BASE,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_229d3de8d637192c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a57cc9249e9eaafb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_28783c94838eedbb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8b58ccee5ab5f1e8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C0_BASE,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66e2c109960877e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bennett's inequality,
+leanstral-2603,C0_BASE,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2933ba103e909112,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5aa698f378cd6601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C0_BASE,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_db85cf4c7f7aa9a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_689822332f4d6b23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_14ac499dae375732,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_14ac499dae375732,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7a033d71b6d42b3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_WITNESS_ENCODING""]",[],,Ahlswede–Daykin inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ad6cfd54fbf28a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d5966020f8867886,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39f158d07c8a8bf1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7318c179491e0328,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cc8f4ec765740b24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc8f4ec765740b24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc8f4ec765740b24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc8f4ec765740b24,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Taylor's theorem,Taylor's theorem
+leanstral-2603,C0_BASE,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc815f2e7e777c70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C0_BASE,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a33d2b8ea9a34098,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Weinstein–Aronszajn identity,
+leanstral-2603,C0_BASE,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95a59689f07826cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C0_BASE,rcd2_ab54464c52621203,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab54464c52621203,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab54464c52621203,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C0_BASE,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79129d6433467146,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc97e5dedfe4ffd0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d69e63e6f0f560e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C0_BASE,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1eca4e8561fe55cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1eca4e8561fe55cb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+leanstral-2603,C0_BASE,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bfe3d3c8eda989e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c62238b8d614cb54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Vaughan's identity,
+leanstral-2603,C0_BASE,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a70539358d6b8895,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pfister's sixteen-square identity,
+leanstral-2603,C0_BASE,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6ab45faaab7baed8,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6ab45faaab7baed8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6ab45faaab7baed8,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Binomial theorem
+leanstral-2603,C0_BASE,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe52ce3c0d962c16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C0_BASE,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de24c01ecd7aeb77,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C0_BASE,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fbd185b52fde8bbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9a270db8379099c1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C0_BASE,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4412091170965e01,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C0_BASE,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6974771d988f042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Lubell–Yamamoto–Meshalkin inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6974771d988f042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6974771d988f042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Lubell–Yamamoto–Meshalkin inequality
+leanstral-2603,C0_BASE,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_005d0644e5e46849,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2dc0e04ae38e143b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C0_BASE,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_16710332b864dbbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_16710332b864dbbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_16710332b864dbbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_dc4bfb7fac90b623,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc4bfb7fac90b623,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc4bfb7fac90b623,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C0_BASE,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_28ec816d4ab8603c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C0_BASE,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_80483b838cd774f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a654532661c8c35e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C0_BASE,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f538a7a3b898fd69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f3a2138109240b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_807542cdbf7751a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9789c4f4a4f53c0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1d7cf339c224f272,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1d7cf339c224f272,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Degen's eight-square identity,Degen's eight-square identity
+leanstral-2603,C0_BASE,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_22816f19cd634ff2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9521c9bd4bd9f179,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C0_BASE,rcd2_850c547721551c95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C1_THEOREM_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_850c547721551c95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C3_HYBRID_RAG,rcd2_850c547721551c95,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Helmholtz theorem (classical mechanics),Helmholtz theorem (classical mechanics)
+leanstral-2603,C0_BASE,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_275de04eea35c9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C0_BASE,rcd2_7c66fe04e18bf4c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c66fe04e18bf4c4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_691cc755f1a93d5a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,No-deleting theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_691cc755f1a93d5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C0_BASE,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0eb4892b9fc19f7e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C0_BASE,rcd2_9d8de83eeff7c3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d8de83eeff7c3e5,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d8de83eeff7c3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d8de83eeff7c3e5,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af0b099bca616ed3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C0_BASE,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a66f422a07b2c53c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fcfe661fdc3aead,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fcfe661fdc3aead,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7dd5d847575ed667,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b008c0d460b0c578,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Polarization identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b008c0d460b0c578,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Polarization identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b008c0d460b0c578,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C0_BASE,rcd2_e2aa4bf92abc3fdc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2aa4bf92abc3fdc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Rouché–Capelli theorem
+leanstral-2603,C0_BASE,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5c2ac94a3ec22da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7cc0939406122ebc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lusin's theorem,
+leanstral-2603,C0_BASE,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dda6064ebb91af30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",n! conjecture,
+leanstral-2603,C0_BASE,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_494838f73995c0c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fffa2c2f5d8cf148,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fffa2c2f5d8cf148,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C0_BASE,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9325a3756913f5a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cade97c75e131eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b0732caa42abd70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C0_BASE,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6808157837ffdef0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6808157837ffdef0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Heegner's lemma,Heegner's lemma
+leanstral-2603,C0_BASE,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_a070b3a2af167276,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),Gauss's lemma (polynomials)
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_a070b3a2af167276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C0_BASE,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e2e3da6d990a813,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e2e3da6d990a813,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fejér's theorem,Fejér's theorem
+leanstral-2603,C0_BASE,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de5b3e7d4334c211,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C0_BASE,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_13e6cf76e18a8f90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3750474a51d76f54,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3750474a51d76f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3750474a51d76f54,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_404492ef3627b02a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ccc162e9253b2c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1fec499524060e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C0_BASE,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0c929cee094cea58,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0c929cee094cea58,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fejér's theorem,Fejér's theorem
+leanstral-2603,C0_BASE,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6415491885836691,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C0_BASE,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb07a0d78b828d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_af3a3c04798ee679,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af3a3c04798ee679,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af3a3c04798ee679,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+leanstral-2603,C0_BASE,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_743aef1a912b170c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d200d2b3fdbde4f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c975bcb15daabdbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c975bcb15daabdbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c975bcb15daabdbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c975bcb15daabdbe,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C0_BASE,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bcd823d3016ef198,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,AM–GM inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bcd823d3016ef198,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_adc8358cfd0a8e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_adc8358cfd0a8e84,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C0_BASE,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d4673509932cb4e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Krasner's lemma,
+leanstral-2603,C0_BASE,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3269b9002160d6f7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""OTHER""]",[],,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3269b9002160d6f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3f8312cec75081f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C0_BASE,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e273e50a5e56f4d5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Spectral theorem,
+leanstral-2603,C0_BASE,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3a61226e04116575,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84998867e4a3d538,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_768aac7be8f4c363,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C0_BASE,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a796f3c6ecab9ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bda5136915527a43,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bda5136915527a43,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Gradient theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bda5136915527a43,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C0_BASE,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_27e07fcd1cdc9d62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bdae8ff794ea0d25,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1dd11f73b8117925,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_16dc5d43d3c5ec9e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C0_BASE,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_99560e698f57ab3a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C0_BASE,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa665a24c986e931,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d53d490f7fd6e063,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b3880f3d52b86c85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Algorithmic Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f533324a6de5e222,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C0_BASE,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_83252a735a450e80,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c3fc3f6bd5b96e11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C0_BASE,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b30a476e59a213e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rising sun lemma,
+leanstral-2603,C0_BASE,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_98ecc5ef9c776bd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Star of David theorem,
+leanstral-2603,C0_BASE,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_282451c1b462ee09,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e173c5769f0bed8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e173c5769f0bed8d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C0_BASE,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1fe19d54e14a0898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ceeabe31a7bce07a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C0_BASE,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59b830ed1140151a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7603b65c7e27dce9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a220b7cfa7fa281,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38e0732ea820b800,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C0_BASE,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a88011a8227e86d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55cc7a0478b4614a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_01a5ec8a733c6baf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01a5ec8a733c6baf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01a5ec8a733c6baf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49bfa0ea95f38b85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_85f2b7fb846a1e3f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_85f2b7fb846a1e3f,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a52b6da84ee4e45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_391d8faac86ec551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C0_BASE,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4958c1685c71da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C0_BASE,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0dd3b915de94d37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0038d302c8389325,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a224e8b53c19b83a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a224e8b53c19b83a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a224e8b53c19b83a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2f396de0c53428d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc4e74f9d8a7e259,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_91e8e8ff50e8990b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_23d9eadad982bcc8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C0_BASE,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dcf7226473eb7275,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Vandermonde's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dcf7226473eb7275,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dcf7226473eb7275,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Vandermonde's identity
+leanstral-2603,C0_BASE,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3d052674afea3d0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7f75e07c198829ec,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f75e07c198829ec,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f75e07c198829ec,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf54e7e1851c563b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90d48bcb975e08ad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c99f5649989aada9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4249c824540c2276,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C0_BASE,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_113bcf81c3648a06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C0_BASE,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7235ceb938ed6dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C0_BASE,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5938d37836ca37f5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Hoeffding's lemma,
+leanstral-2603,C0_BASE,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af47569c9f42aeb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e8e2e3717c1d9d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de6198d4ab81cc34,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,Campbell's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de6198d4ab81cc34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C0_BASE,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a294ca1d5b1a95e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C0_BASE,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa68eaee28e257c4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f9a6d103ff491438,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fisher's inequality,
+leanstral-2603,C0_BASE,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_480f1394ca8c8975,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Céa's lemma,
+leanstral-2603,C0_BASE,rcd2_039661508b85f17a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Sum of Binomial Coefficients
+leanstral-2603,C3_HYBRID_RAG,rcd2_039661508b85f17a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f6bb5195e6ddc2a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Counting lemma,
+leanstral-2603,C0_BASE,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]",[],,Cauchy–Davenport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ebb4abf3d4b401c8,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Cauchy–Davenport theorem
+leanstral-2603,C0_BASE,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_550231221e61d08d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C0_BASE,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1dba66bcc7de73a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Kantorovich inequality,
+leanstral-2603,C0_BASE,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C1_THEOREM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C3_HYBRID_RAG,rcd2_1169e45cfc979067,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C0_BASE,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2638ad9acc58fc85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Fisher's inequality,
+leanstral-2603,C0_BASE,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54027e68dd6beac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5942feebfe8ee762,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d65e076da662b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_656862810de393d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Jørgensen's inequality,
+leanstral-2603,C0_BASE,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1d82a62747df7f85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_62a87da7b06b464b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Bernstein inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_62a87da7b06b464b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_14ba6b9bc13226a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C0_BASE,rcd2_a017934a6be66995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a017934a6be66995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a017934a6be66995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a017934a6be66995,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Stokes' theorem,Stokes' theorem
+leanstral-2603,C0_BASE,rcd2_6591819bbda0c8e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6591819bbda0c8e2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6591819bbda0c8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C0_BASE,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95f5b93ac91cd531,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Freiman's theorem,
+leanstral-2603,C0_BASE,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1aff73574afd9168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rolle's theorem,
+leanstral-2603,C0_BASE,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8ccfffef2188ef7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_120a7e00f66cba04,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_120a7e00f66cba04,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,MacMahon's master theorem
+leanstral-2603,C0_BASE,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0d584207fee9601,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0d584207fee9601,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Lifting-the-exponent lemma,Lifting-the-exponent lemma
+leanstral-2603,C0_BASE,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a7adc8be532ca95a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Spectral theorem,
+leanstral-2603,C0_BASE,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c8c8b5cd5edab309,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C0_BASE,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a0e66091f71cd93b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d10b4cbade390e05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_513d5a8ee6b4e6f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f935bf2164e83505,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b5e403ccbd3af35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6448ba8ef14df525,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7eb2d5df4f9c574b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C0_BASE,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b6186ea3c496a0f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d75835b742e97e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C0_BASE,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6697df450bab002f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C0_BASE,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_863897b0d91ff302,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Schwartz–Zippel lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_863897b0d91ff302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_863897b0d91ff302,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Schwartz–Zippel lemma
+leanstral-2603,C0_BASE,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_facc11731b089854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C0_BASE,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_16c43bdccb8b1cfe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1245827e35820541,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1245827e35820541,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Robbins lemma,Robbins lemma
+leanstral-2603,C0_BASE,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_627669d515b705c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c61389d9cd264870,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c61389d9cd264870,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c61389d9cd264870,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C0_BASE,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c0081d457ae5303,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0d863f0698349a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_da6e0955c4d2c33a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Thue's lemma,
+leanstral-2603,C0_BASE,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4e4dcb2a617c194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56c7bd2ac3fdc710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ky Fan inequality,
+leanstral-2603,C0_BASE,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56258ee2d948cb5c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56258ee2d948cb5c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+leanstral-2603,C0_BASE,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ce7fb3e2aeb2ba7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C0_BASE,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2382b12ae637256,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levi's lemma,
+leanstral-2603,C0_BASE,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_37a962c23fc3058e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C0_BASE,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1d6a497a1f20600d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Linnik's theorem,
+leanstral-2603,C0_BASE,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8add51f1983ebd6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_96eb7b2dc2fd4c62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_530a214f66799961,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_44e2d7aade481194,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C0_BASE,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c63baa5290a237a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c3c1c8030045e5ba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6738c912d2530b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6738c912d2530b75,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Summation by parts
+leanstral-2603,C0_BASE,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47404f54d14166fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66cb3dd6299650e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a9612be69ed15aa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8205ed4fcc585990,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad672c8988b3641f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Schwarz lemma,
+leanstral-2603,C0_BASE,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_672a91715d8fc63e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3a53c2efe2ee87d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Routh–Hurwitz theorem,Routh–Hurwitz theorem
+leanstral-2603,C0_BASE,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6e49a17fe336d531,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd18941bf6e020b8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C0_BASE,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+leanstral-2603,C1_THEOREM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+leanstral-2603,C3_HYBRID_RAG,rcd2_696355c9a30c7086,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bioche's rules,
+leanstral-2603,C0_BASE,rcd2_097bb37830923db3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_097bb37830923db3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_097bb37830923db3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_097bb37830923db3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,step_2_input_output_chain_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C0_BASE,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1bc8d1b7064fdb7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ff4542fceb946969,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_935ac3fdf2b15951,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Morse theory,
+leanstral-2603,C0_BASE,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_329ef194cf891618,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_429ffc5eb76bddf7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_429ffc5eb76bddf7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C0_BASE,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1f45cab6ec1b6eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4efa107392f06898,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70be27fb0b3544c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ead56c3bb56fb836,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_272310ea22e8e7b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C1_THEOREM_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_272310ea22e8e7b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,
+leanstral-2603,C3_HYBRID_RAG,rcd2_272310ea22e8e7b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Jacobi triple product,Jacobi triple product
+leanstral-2603,C0_BASE,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72b11710d496ac79,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a62d47290fda9323,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rising sun lemma,
+leanstral-2603,C0_BASE,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf3c6c030f638cdc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C0_BASE,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7834eaf2cc64454f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""OTHER"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fundamental theorem of algebra
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7834eaf2cc64454f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a322bfaffd212ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d25a2c6a866c114,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Steinitz's theorem,
+leanstral-2603,C0_BASE,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_659ad381f5434318,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f168a454c4bd5019,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f168a454c4bd5019,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_82dff947e83dbd07,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5c619935cfa9c7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4008dd1c874b265,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Candido's identity,
+leanstral-2603,C0_BASE,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7954be269f3b5ee4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C0_BASE,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bbe29c857fb13bc5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bbe29c857fb13bc5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Céa's lemma,Céa's lemma
+leanstral-2603,C0_BASE,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ba9d02426660174,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0592dc6b1209164c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90db8f4b8cd03441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C0_BASE,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1f62a8836c2fd88,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C0_BASE,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_752d5512b51d29d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_752d5512b51d29d8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Perron's formula,Perron's formula
+leanstral-2603,C0_BASE,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Tupper's self-referential formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_16796dc9ccf5ecac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49468bf94f62a944,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C0_BASE,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4524b4325ae105a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4524b4325ae105a1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+leanstral-2603,C0_BASE,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e72cee521c6b5b9e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8cd62835f45e2344,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Area theorem,
+leanstral-2603,C0_BASE,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11008a8b84388ff6,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""OTHER""]",[],,Dinitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11008a8b84388ff6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11008a8b84388ff6,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Dinitz theorem
+leanstral-2603,C0_BASE,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d1f826006e82e7f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5ccbbee5e1ae3bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42eebf24fead3cea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C0_BASE,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_771da698e4d61f4c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2045d1659499f37,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04257ed938782d63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_30416e9cf4098f7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49710848aa230a7b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_282ddd610c4121be,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Entropy power inequality,
+leanstral-2603,C0_BASE,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc1d2f851135aec2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C0_BASE,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1749c9a5a5fc0ce3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Subspace theorem,
+leanstral-2603,C0_BASE,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_967048845364e1f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C0_BASE,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c92c6d0ba29d8250,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c92c6d0ba29d8250,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Levinson's theorem,Levinson's theorem
+leanstral-2603,C0_BASE,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11227f6cb3e3a4a3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C0_BASE,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fdf7cd6192a674af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1119025fad34acfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1119025fad34acfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1119025fad34acfb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+leanstral-2603,C0_BASE,rcd2_34f76b32030fb837,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34f76b32030fb837,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34f76b32030fb837,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C0_BASE,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_83f1064588e7fe70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C0_BASE,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb1990578508996c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Little's law,
+leanstral-2603,C0_BASE,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d738a419cfcaf0d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ff62dfd60b68c406,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C0_BASE,rcd2_22d826af043cd6aa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_22d826af043cd6aa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Laplace's principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_22d826af043cd6aa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb0e739aec0f1b3b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C0_BASE,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4f8ef602ee41c34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2aa0f17770de0b8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2aa0f17770de0b8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C0_BASE,rcd2_6cac0d09b1e6be9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6cac0d09b1e6be9d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3a266c82bb77d354,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,Kolmogorov–Arnold representation theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3a266c82bb77d354,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C0_BASE,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_87729d1c4f987337,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f01b64f6b85e8879,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C0_BASE,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_acbb74a2743d0fe9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c57acbe566c734c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8f18f8f70c8a6538,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8f18f8f70c8a6538,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b194a0c844836aba,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b194a0c844836aba,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C0_BASE,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04955883f41f0790,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fca508cdb44f6ed2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_89ccdeb4cc84c939,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2477ce38cb345f21,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6145c73e83bb9d2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burr–Erdős conjecture,
+leanstral-2603,C0_BASE,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a43d3e2960679347,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_49ed1307e114a1a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49ed1307e114a1a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49ed1307e114a1a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49ed1307e114a1a7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_INTERSECTION_ENCODING""]",Turán's inequalities,Turán's inequalities
+leanstral-2603,C0_BASE,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_130542eb76165550,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_130542eb76165550,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4403b0a1e2aa43c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",NLTS conjecture,
+leanstral-2603,C0_BASE,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d98966094f29c3d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Specht's theorem,
+leanstral-2603,C0_BASE,rcd2_e4ceaba2256aef50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4ceaba2256aef50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4ceaba2256aef50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4ceaba2256aef50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Green's theorem,
+leanstral-2603,C0_BASE,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8e18926b8514ebd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc2e20b8841fb29e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc2e20b8841fb29e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Siegel identity
+leanstral-2603,C0_BASE,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d2cebb775cb8f266,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Counting lemma,
+leanstral-2603,C0_BASE,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba801b2f3442053c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5c9876b8132e43b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4b6b18ccf1f6957,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Heegner's lemma,
+leanstral-2603,C0_BASE,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c52e61133b7bdc26,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a4378380f6665536,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4378380f6665536,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4378380f6665536,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C0_BASE,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_169fad19f02a8db3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6b2c4975ab65e63,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b41bac78c2cc3496,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Le Cam's theorem,
+leanstral-2603,C0_BASE,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d59ed9b08d70933,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_92b7dde6099c23a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_8d39ec158210289b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d39ec158210289b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d39ec158210289b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_82077ad3a8147ab8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C0_BASE,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_536571dbfde094e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_80a8a11585eb2718,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a0b65fc5696b524,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_080a1c22a3066b46,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_080a1c22a3066b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_080a1c22a3066b46,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_ARGMIN_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C0_BASE,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb40bd57454601b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C0_BASE,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_845be9aaf1ea86da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Monotone convergence theorem,
+leanstral-2603,C0_BASE,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e45efcfff5cad74e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f576b49501370506,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C0_BASE,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54a974f51abc18b6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf6837a7b3dc9073,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43eda8f7af5f750f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4fd8cc11b5e6952b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fd8cc11b5e6952b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C0_BASE,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9f126c713db902da,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bonse's inequality,
+leanstral-2603,C0_BASE,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b40e1b591439f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a33f6fedecc84855,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's theorem,
+leanstral-2603,C0_BASE,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,Fischer's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b2e0814cc088dd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C0_BASE,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bc23fed7b4478fa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Crossing number inequality,
+leanstral-2603,C0_BASE,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e70818ebc226a210,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e70818ebc226a210,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+leanstral-2603,C0_BASE,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_355d004c8d60e40f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_355d004c8d60e40f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C0_BASE,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58fb15c0517e0365,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C0_BASE,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d2788be2c2fb8bba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10d850f97e0066a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9ceaf0b4ec130520,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_33e1c332ed9b118d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Divergence theorem,
+leanstral-2603,C0_BASE,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95a01f841579162d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Darboux's theorem,
+leanstral-2603,C0_BASE,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c86dcbbe005e857,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3bdd2ba9fb10a26a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C0_BASE,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6a3cbdc5fe37db32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a002b4305929b955,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1f6e18036eca8262,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2009d7d6444c3f9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2fb8d0510250ad14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lagrange's four-square theorem,
+leanstral-2603,C0_BASE,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_099ebc6bfb394ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C0_BASE,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba7258ee7f351a8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_05db1eec20fd3815,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Jørgensen's inequality,
+leanstral-2603,C0_BASE,rcd2_18704e558d6f72a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18704e558d6f72a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18704e558d6f72a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C0_BASE,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e76eb95395bfaa9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C0_BASE,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e225d951e57d279,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_965ebde59d450e3f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_965ebde59d450e3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_965ebde59d450e3f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59658ff6baea6c1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fef0264c6c40dc7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fef0264c6c40dc7c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7408d3202c34d43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa480fa8d5ee7540,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C0_BASE,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cea93580048cb44f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7eb3b3a77498584,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24b1ed83b1c0e544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C0_BASE,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4b17c696c3ed646,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f31f1a01e3f7a4d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f31f1a01e3f7a4d6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f31f1a01e3f7a4d6,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Chernoff bound,Chernoff bound
+leanstral-2603,C0_BASE,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ec4def4724de4f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f3ef3a979003a96,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3a3fb3da1381a04,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b57d2c5ddd051acf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bdb6e042d5211797,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bdb6e042d5211797,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bdb6e042d5211797,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f12f245474d1776,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f12f245474d1776,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C0_BASE,rcd2_31d083bf12326a85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_31d083bf12326a85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_31d083bf12326a85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_ARGMIN_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C0_BASE,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_11a570a33330040f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Primitive element theorem,
+leanstral-2603,C0_BASE,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18420ffd27816a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Noisy-channel coding theorem,
+leanstral-2603,C0_BASE,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_40056d2cdd27b1af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a97e2b0f603d1a97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_de892c5278040ba5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de892c5278040ba5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de892c5278040ba5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de892c5278040ba5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+leanstral-2603,C0_BASE,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1fd441b632a16712,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1fd441b632a16712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1fd441b632a16712,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Eaton's inequality,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b8871f88e409e7c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C0_BASE,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef3cec19cbb31dfa,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Crouzeix's conjecture
+leanstral-2603,C0_BASE,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8048ba6ea38d6d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_954a0a325b6c0fab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Rado's theorem,
+leanstral-2603,C0_BASE,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_535473af68767ad4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C0_BASE,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc43fec177079186,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Azuma's inequality,
+leanstral-2603,C0_BASE,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec90d5e82442cdb8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c82469a938d49b43,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2e44ddc4fc48fd2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C0_BASE,rcd2_0645d74f886b867e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0645d74f886b867e,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0645d74f886b867e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0645d74f886b867e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gibbs' inequality,Gibbs' inequality
+leanstral-2603,C0_BASE,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b74cdf1e78d09ff,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C0_BASE,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4db16798d75e74be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9cc4d30bb8a537e5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_05f96c89bf4db343,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d0ab27a2efcd4f9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_25457e44bff2e48e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3bae6f8ae58da046,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc394818607c617b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6315221e1d97f578,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6315221e1d97f578,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6315221e1d97f578,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Handshaking lemma,Handshaking lemma
+leanstral-2603,C0_BASE,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fe53f7165c7551e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53cbe730fe1eeff7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Polarization identity,
+leanstral-2603,C0_BASE,rcd2_76f1337a81cca68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Pascal's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's Identity
+leanstral-2603,C3_HYBRID_RAG,rcd2_76f1337a81cca68d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Pascal's rule,Pascal's rule
+leanstral-2603,C0_BASE,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3a9a72c7c69707d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_89e4f5212d5f52b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_628ca4d862b3a7d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_27f747fe39062872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",NLTS conjecture,
+leanstral-2603,C0_BASE,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5cb6c4b8fcc1922,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C0_BASE,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_feb88b0b2eb63d8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C0_BASE,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81c496984f84ad89,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81c496984f84ad89,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C0_BASE,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dcbad1c47bd3859e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,0,1,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain Identity
+leanstral-2603,C1_THEOREM_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_362828da69b3d131,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_362828da69b3d131,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C0_BASE,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4d8f368127dfc85,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10eba4e42c35f710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Céa's lemma,
+leanstral-2603,C0_BASE,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_242a77368186110a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_060dd019ecb0ade0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86ac961161f49bff,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3a34dbd814fe58a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b2ca4f417a508bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C0_BASE,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dff80eca668d6807,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Dixon's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dff80eca668d6807,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_945cc8d5d91358a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Area theorem,
+leanstral-2603,C0_BASE,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c38fda65bfa0db4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_15b2bb7ab5f34365,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_955f40bf3e48d698,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C0_BASE,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a844a9812f1b6e84,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Davenport–Schmidt theorem,
+leanstral-2603,C0_BASE,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e34940714634d8c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1c3690c4a8953654,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rolle's theorem,
+leanstral-2603,C0_BASE,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f519281fd6250dc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_63986ecbe2221a77,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_WITNESS_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Williamson theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_63986ecbe2221a77,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_63986ecbe2221a77,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Williamson theorem
+leanstral-2603,C0_BASE,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d08172b8d642901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_695c009e0cc9c41d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_695c009e0cc9c41d,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+leanstral-2603,C0_BASE,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3cf5db7a0efa4712,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Linnik's theorem,
+leanstral-2603,C0_BASE,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_33a36e40fb580f2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66f17ffc8d6beec8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07e0209488f83e97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_55fddcf3da6b761b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55fddcf3da6b761b,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55fddcf3da6b761b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55fddcf3da6b761b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bernstein inequalities,Bernstein inequalities
+leanstral-2603,C0_BASE,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fb412d7b06a0652c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Increment theorem,
+leanstral-2603,C0_BASE,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dae4b3c7432ca41f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Krener's theorem,
+leanstral-2603,C0_BASE,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6ebdd7266840b928,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C0_BASE,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_471d4653b2ca566b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C0_BASE,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba4d6a89d699b6b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Campbell's theorem,
+leanstral-2603,C0_BASE,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8f8f6366aba160d2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C0_BASE,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7df54e27e7a2cfb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C0_BASE,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_84e521ed634c6baa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58f3137d5d64e47d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be3bee22515c77e5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C0_BASE,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C1_THEOREM_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C3_HYBRID_RAG,rcd2_809eb1606b4abc2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C0_BASE,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc55aa98c64e83f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc55aa98c64e83f2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Etemadi's inequality,Etemadi's inequality
+leanstral-2603,C0_BASE,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+leanstral-2603,C1_THEOREM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+leanstral-2603,C3_HYBRID_RAG,rcd2_835af8e3c13d0f44,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bioche's rules,
+leanstral-2603,C0_BASE,rcd2_f2fc3a110c25bb79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2fc3a110c25bb79,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2fc3a110c25bb79,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borell–TIS inequality,Borell–TIS inequality
+leanstral-2603,C0_BASE,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07e2a9f9a49de255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07e2a9f9a49de255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Star of David theorem,Star of David theorem
+leanstral-2603,C0_BASE,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04d1a549b3b5ee8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9f8eca8e4a1312e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75d5a241c0387bcd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0d6ffd8895ca1ecc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70869e1b784557e1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Van der Waerden's theorem,
+leanstral-2603,C0_BASE,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67ffb5b5c755da8b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67ffb5b5c755da8b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Sylvester's determinant identity,Sylvester's determinant identity
+leanstral-2603,C0_BASE,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0ce6baf8a0914e53,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_21c97b5599a059bd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Cantelli's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_21c97b5599a059bd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_588ea1712adf0a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Boole's inequality,
+leanstral-2603,C0_BASE,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_20c6b8b64298e7d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0dee5bee8ffd71a4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Crooks fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fe38d3d526d8349,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C0_BASE,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ae96603a2bafdc4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10b22d6f2547a3e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Difference of two squares,
+leanstral-2603,C0_BASE,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6896bec9df54ff65,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b7602ba0d388bfa4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Blow-up lemma,
+leanstral-2603,C0_BASE,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5da7ef165ff800e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Cauchy's convergence test,
+leanstral-2603,C0_BASE,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1ca0a3702104132,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0f2bc0ce3495ac6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a78b46b58ac8a9bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Laplace's principle,
+leanstral-2603,C0_BASE,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5832c6c1ab5c5f03,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Borell–TIS inequality,
+leanstral-2603,C0_BASE,rcd2_5a99deca5d584e2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a99deca5d584e2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a99deca5d584e2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a99deca5d584e2a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+leanstral-2603,C0_BASE,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c57a5c5226a20234,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c57a5c5226a20234,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_722af4bdc94e6510,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bayes' theorem,
+leanstral-2603,C0_BASE,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0ca051fa53581be8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67aee65f62f83258,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Riemann–Siegel formula,
+leanstral-2603,C0_BASE,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2a4d6719c742303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C0_BASE,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5596d036f65cd345,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e868fe41c2c3ae3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e15660d9614163eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C0_BASE,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53b92fc1e715f58c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aba436c467a5e995,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_MONOTONE_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aba436c467a5e995,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e5e3a43d1299b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e5e3a43d1299b16,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C0_BASE,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7941eae54953ab9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Etemadi's inequality,
+leanstral-2603,C0_BASE,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a1879207a9efd310,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a1879207a9efd310,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+leanstral-2603,C0_BASE,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5fa89d377e1a57c4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C0_BASE,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_455f721a8f2489fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5cf8b92080e13ffb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C0_BASE,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef72d0c3410264be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc989abfea1cfaee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c51244eb68e95e40,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b07e2335b3c5434,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_694d953276e28553,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d23bdc611de5443,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5604e13f5bda8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4fbf9b9024363f83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b33f4dcafd93c1b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_42028074736de97b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Darboux's theorem,
+leanstral-2603,C0_BASE,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5a15b6c476b38a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a446dbc5393f827e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Hardy–Ramanujan theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a446dbc5393f827e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a446dbc5393f827e,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Hardy–Ramanujan theorem
+leanstral-2603,C0_BASE,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f69a3acdb4519eb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f69a3acdb4519eb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Freiman's theorem
+leanstral-2603,C0_BASE,rcd2_7332a36585688e05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7332a36585688e05,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7332a36585688e05,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C0_BASE,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a1f91ae720f585a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov–Arnold representation theorem,
+leanstral-2603,C0_BASE,rcd2_bde311b499ebdb06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bde311b499ebdb06,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bde311b499ebdb06,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Brun–Titchmarsh theorem,Brun–Titchmarsh theorem
+leanstral-2603,C0_BASE,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_532dbdd0a63c0476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3aaf027e839a19ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5a7bd1367845302a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1a60aab885387a94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a60aab885387a94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a60aab885387a94,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C0_BASE,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_26dad0a7e22d27b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_26dad0a7e22d27b4,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_PAIR_ENCODING""]",[],,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9aab336cfffd8fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9aab336cfffd8fc6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_9e23199ba2775020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e23199ba2775020,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e23199ba2775020,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Vandermonde's identity,Vandermonde's identity
+leanstral-2603,C0_BASE,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f7af6115a1c1441,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C0_BASE,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_30f8105183b2e5fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dfeca2ade48a5639,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dfeca2ade48a5639,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dfeca2ade48a5639,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_fbca91cac2968b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fbca91cac2968b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fbca91cac2968b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fbca91cac2968b7b,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C0_BASE,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C1_THEOREM_RAG,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C3_HYBRID_RAG,rcd2_6274bbeb00902284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Helmholtz theorem (classical mechanics),
+leanstral-2603,C0_BASE,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dbbccce53fdf7a3b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8751337729d00930,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Milliken's tree theorem,
+leanstral-2603,C0_BASE,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aefac887a2da9324,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b34fc9834c8b80e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Schwarz lemma,
+leanstral-2603,C0_BASE,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8df9526c160d5548,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e065b4f130aa96a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c77701d429e1834b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C0_BASE,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dcc77a81881dc9fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C0_BASE,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e7544fa0308cb6f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",McKay conjecture,
+leanstral-2603,C0_BASE,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eab103abb55017b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46f36bc88d1d6aed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24859b870420ccf5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24859b870420ccf5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Fundamental theorem of arithmetic,Fundamental theorem of arithmetic
+leanstral-2603,C0_BASE,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18ea570ac1e86a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18ea570ac1e86a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C0_BASE,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f7c3b41a213805f3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e58874c65a5f734e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e58874c65a5f734e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3347097ed4f0632e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2036e8f41d0bdae8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2036e8f41d0bdae8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Sun's curious identity,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8b3b6fbbee2c75a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6bbd506b88f42bcc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6bbd506b88f42bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6bbd506b88f42bcc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a110d3eda998e413,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d490cefb0bb1130e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Hensel's lemma,
+leanstral-2603,C0_BASE,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0eac8de4b3aec383,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Cassini and Catalan identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0eac8de4b3aec383,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0eac8de4b3aec383,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""EXPAND_ABBREVIATIONS""]",[],,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7869af97cf76c9a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Lagrange's identity,
+leanstral-2603,C0_BASE,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_618b2ea269c90a5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_618b2ea269c90a5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_618b2ea269c90a5a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Duffin–Schaeffer theorem,Duffin–Schaeffer theorem
+leanstral-2603,C0_BASE,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf9715e5d821143a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C0_BASE,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ed208b2b3419ecf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ed208b2b3419ecf,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C0_BASE,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46ea84216709210f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46ea84216709210f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46ea84216709210f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_81d0947b2c828d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81d0947b2c828d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81d0947b2c828d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Dixon's identity,Dixon's identity
+leanstral-2603,C0_BASE,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53dae4d7ba6c0d2c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e492ef52e7947e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9bc532fdf747294c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bc532fdf747294c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bc532fdf747294c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""REMOVE_DISTANCE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c01b7117f9afbc8c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c01b7117f9afbc8c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbbf9f35eabe4fb3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbbf9f35eabe4fb3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+leanstral-2603,C0_BASE,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_14175dd4112e6df2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_82095829f3422637,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_da268ddca6204a1c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fdad63a87b9df775,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Markov's inequality,
+leanstral-2603,C0_BASE,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_757ea1cc449befad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c287e51690c6850,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c287e51690c6850,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+leanstral-2603,C0_BASE,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_68c6251dac3ab253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C0_BASE,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_22b08799f867e5d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d62fb74741d9d786,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e252d6877d9bca9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa55396e7a68b228,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C0_BASE,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55149e537bb52846,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed29770f805dfaa0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af16c482c95cdb78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2ac2affe38d22f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Azuma's inequality,
+leanstral-2603,C0_BASE,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b0e43b626063df8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C0_BASE,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49c591676dc9cefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C0_BASE,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2c25a6c89c0357d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8c8636fee8205870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_71fa4d0a88309b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_71fa4d0a88309b7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_71fa4d0a88309b7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Rank–nullity theorem,Rank–nullity theorem
+leanstral-2603,C0_BASE,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2fa263315a3976f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C0_BASE,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_decc735c497f3351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C0_BASE,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_faa315f3a7a9c8cf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1ec90c2cc2eeb89f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1ec90c2cc2eeb89f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Multidimensional Chebyshev's inequality,Multidimensional Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf12b9e3240deead,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f52910c9ef25febc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e107d9746c6b878e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e107d9746c6b878e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e107d9746c6b878e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C0_BASE,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b4084ae550b26dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Hensel's lemma,
+leanstral-2603,C0_BASE,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8c40a070bc60595b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Jacobi identity,
+leanstral-2603,C0_BASE,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba78fd1785a63251,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f19c28495a7a9c45,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C0_BASE,rcd2_1ba34d11172bbc57,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1ba34d11172bbc57,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1ba34d11172bbc57,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Gradient theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1ba34d11172bbc57,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C0_BASE,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_469f7d82e4f620fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_884099ae89e156b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a11ace3716918907,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C0_BASE,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aff78b3ee4c134d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79d9cce6d53dc0bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e4c850b6373d8cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_986f5b990e782a17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a28a2ddb9397fdfc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C0_BASE,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_690ffce80d5a8a0f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C0_BASE,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55c48d14e457a143,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C0_BASE,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_94f33c43331854e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf1092f1cb4000ca,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf1092f1cb4000ca,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf1092f1cb4000ca,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Goldbach's weak conjecture,Goldbach's weak conjecture
+leanstral-2603,C0_BASE,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_903604a1d47d958d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_477601272abb7b72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_29453fd483ba662f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c750863af7dac028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Candido's identity,
+leanstral-2603,C0_BASE,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a353a9af95c4895f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C0_BASE,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5ab802b8a09b4284,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5ab802b8a09b4284,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5ed72a11b9890e90,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C0_BASE,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5de283aabc12eb5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C0_BASE,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f11809c073c65a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a6e5fc8efa4c8e8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Littlewood–Offord problem,Littlewood–Offord problem
+leanstral-2603,C0_BASE,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61d71babcecb614d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski–Hlawka theorem,
+leanstral-2603,C0_BASE,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe568632f2ab4763,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7da2b5cc5ac51685,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eff6c9dbc65bb116,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eff6c9dbc65bb116,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Minkowski's first inequality for convex bodies
+leanstral-2603,C0_BASE,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bfc69b1311bb3c2a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Erdős–Szekeres theorem,
+leanstral-2603,C0_BASE,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_338164c54fc253cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Schur's lemma,
+leanstral-2603,C0_BASE,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd43ff4b857f5551,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd43ff4b857f5551,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C0_BASE,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6a7bed15371395f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2392af8fed84e47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f8624cc27e697cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f8624cc27e697cf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f8624cc27e697cf,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_399272e1d9f6529c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C1_THEOREM_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_399272e1d9f6529c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C3_HYBRID_RAG,rcd2_399272e1d9f6529c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C0_BASE,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b67f296d6919097f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e2f163808974868,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e2f163808974868,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e2f163808974868,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Crossing number inequality,Crossing number inequality
+leanstral-2603,C0_BASE,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8ecb2a101df34b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8c9824c4c90bb513,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8c9824c4c90bb513,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C0_BASE,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a72ce4a5856bada6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9b42300ea16d377d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bioche's rules,
+leanstral-2603,C0_BASE,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_684ca1136ebf899f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d02a43ae50817b0b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_064bdc489c193261,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_064bdc489c193261,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+leanstral-2603,C0_BASE,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49a3fa2455b454cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f5c840908d652b13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58fc03d0bb1990af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa6ee53dd91495f0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_565420eeb2d0218c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_570a1a3a1885a1ab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_570a1a3a1885a1ab,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_570a1a3a1885a1ab,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C0_BASE,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f5a2230aebd335e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5ef06835d4720580,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c442f2ec8840e6e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c442f2ec8840e6e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c442f2ec8840e6e3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Golden–Thompson inequality,Golden–Thompson inequality
+leanstral-2603,C0_BASE,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Hoeffding's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_27ddaf65cf6dc854,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_27ddaf65cf6dc854,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf7d0e71842ae79c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4dddd4599bdd5811,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ccb94dbd051e767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c52db1245049b73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0114afaad7856d42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4556cce9593f4f06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb69fe3ed7188303,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rado's theorem,
+leanstral-2603,C0_BASE,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f03bab254dac1ad8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_233f194bcc675ec7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a786d18fc023cf5a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Darboux's theorem,
+leanstral-2603,C0_BASE,rcd2_9d4ab1bd41b4534d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d4ab1bd41b4534d,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d4ab1bd41b4534d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C0_BASE,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_db129acb42e793d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Isolation lemma,
+leanstral-2603,C0_BASE,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1a5cce5015a50b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C0_BASE,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e5d70e76492457a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90f7e0a2fcb932bb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_69fb3f8b391b872a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34ea45803ecc27bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59ffa794b1b0fc28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Arakelyan's theorem,
+leanstral-2603,C0_BASE,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e6ebce1d593e46b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_65b0dd81bde89cb0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6bad360f9ff91e22,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d64809a4cf732c0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4c78bce5fc70cce2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9120a719f8fb7d8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Dinitz theorem,
+leanstral-2603,C0_BASE,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c62d3ba713a12c9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4cb6986228ff3daa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C0_BASE,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4a323b1dcf865cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kreiss matrix theorem,
+leanstral-2603,C0_BASE,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78deff716579e260,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Jacobi identity,
+leanstral-2603,C0_BASE,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a806c3cddb1f1ef5,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Robbins lemma,Robbins lemma
+leanstral-2603,C0_BASE,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_978741094d647b86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5e0eca5e4e7de72,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C0_BASE,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45307f61cce73a11,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74807724c1680ac1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0315a7307fe31636,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0315a7307fe31636,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ingleton's inequality,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_5b023de788e96cb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b023de788e96cb3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b023de788e96cb3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",q-Vandermonde identity,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f836b9749f40cb1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f836b9749f40cb1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C0_BASE,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1685d430ada7d3c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1dd558d1fc5193d4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d5cd037c5142016,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d5cd037c5142016,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d5cd037c5142016,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d5cd037c5142016,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Vitale's random Brunn–Minkowski inequality,Vitale's random Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f8c10395ed3fac7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bennett's inequality,
+leanstral-2603,C0_BASE,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9a6b1a387ebda813,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef2c122056fa57e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4455088088ee3b9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_451c3a4a04197187,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ec6a643f47a1bed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c99b65646cd5a84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b3934d55292fb7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rado's theorem,
+leanstral-2603,C0_BASE,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f76c548144ed8a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Primitive element theorem,
+leanstral-2603,C0_BASE,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4b6606b13db175c1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_816a334f7186db49,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C0_BASE,rcd2_2fe8bcfaf55d0a59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2fe8bcfaf55d0a59,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Dinitz theorem,Dinitz theorem
+leanstral-2603,C0_BASE,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f841faaa26d2852b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6af427263bc3c0dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6af427263bc3c0dc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6af427263bc3c0dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6af427263bc3c0dc,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,Girsanov theorem
+leanstral-2603,C0_BASE,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f7ff13fc4dc34fd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C0_BASE,rcd2_1aa9903bc437b253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1aa9903bc437b253,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1aa9903bc437b253,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C0_BASE,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C1_THEOREM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C3_HYBRID_RAG,rcd2_b10f5d086a7c4aed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Chain rule (probability),
+leanstral-2603,C0_BASE,rcd2_b8ccc6f4fe5d4ce0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b8ccc6f4fe5d4ce0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",AM–GM inequality,AM–GM inequality
+leanstral-2603,C0_BASE,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab2ae4d13aa1be74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fea84f2021d38582,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7e3049635da64a19,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Blow-up lemma,
+leanstral-2603,C0_BASE,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3b12e1a895ef76a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d09f419fdb15695,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d09f419fdb15695,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d09f419fdb15695,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_966aae52c93603bd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_966aae52c93603bd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Fekete's lemma,Fekete's lemma
+leanstral-2603,C0_BASE,rcd2_a1bb1c5ca6d2fcf2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a1bb1c5ca6d2fcf2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Summation by parts,
+leanstral-2603,C0_BASE,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7e6df1a777c6c8e,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""OTHER""]",[],,Cantelli's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7e6df1a777c6c8e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7e6df1a777c6c8e,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Cantelli's inequality
+leanstral-2603,C0_BASE,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_4213f7cc6e2a17c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gauss's lemma (polynomials),
+leanstral-2603,C0_BASE,rcd2_6a53a4def76f6b55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6a53a4def76f6b55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6a53a4def76f6b55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a3dc061b89e715b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nullity theorem,
+leanstral-2603,C0_BASE,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0526bbd943056984,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c91439a8b8007ad9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Expander mixing lemma,
+leanstral-2603,C0_BASE,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_52727617d9d4901d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1006fc4babb54512,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Entropy power inequality,
+leanstral-2603,C0_BASE,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04b23a15e56fe89c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa83eea0deaff087,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f4ee3f0ef34141e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Schur's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4ee3f0ef34141e0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Schur's lemma,Schur's lemma
+leanstral-2603,C0_BASE,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f1dab8f8e2f733b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Green's theorem,
+leanstral-2603,C0_BASE,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6f649c3f14a0f12d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_db10902a96b7b3cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_373778705e282965,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c13646015b80b48c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Vitali–Carathéodory theorem,
+leanstral-2603,C0_BASE,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb88a5ab805380e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb88a5ab805380e9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Ajtai–Komlós–Tusnády theorem,Ajtai–Komlós–Tusnády theorem
+leanstral-2603,C0_BASE,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4cbf983e9f1a396b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C0_BASE,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9e6ab86d8919fcc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2848f450efce0587,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2848f450efce0587,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2848f450efce0587,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C0_BASE,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1af51bba914c37f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C0_BASE,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a6afa5f28bfba70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Binet–Cauchy identity,
+leanstral-2603,C0_BASE,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c6576a5e393cae13,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8908fdc6ffad98bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_32b951eb38ddf2e9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00a339cc5d92e99c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,Lebesgue's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00a339cc5d92e99c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Lebesgue's lemma,
+leanstral-2603,C0_BASE,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6adc29e713cc8b7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C0_BASE,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_faac4aad7480e56f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5da63915ee9a539a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Gell-Mann and Low theorem,
+leanstral-2603,C0_BASE,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9ff65c5ae2c9252a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2acf071f89adf73,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed1b6d93aeaf47c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rado's theorem,
+leanstral-2603,C0_BASE,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04a375dd31cb4e23,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04a375dd31cb4e23,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crossing number inequality,Crossing number inequality
+leanstral-2603,C0_BASE,rcd2_4f8a8e15a9039133,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f8a8e15a9039133,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f8a8e15a9039133,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f8a8e15a9039133,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Divergence theorem,
+leanstral-2603,C0_BASE,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa497770d8bd57a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Muirhead's inequality,
+leanstral-2603,C0_BASE,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_357ecb3ed435909d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Campbell's theorem,
+leanstral-2603,C0_BASE,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8deb0b4c9574154,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5c04a70c58722585,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Golden–Thompson inequality,
+leanstral-2603,C0_BASE,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eb9d7c2bb5fe8872,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7bd0f94468d7aafd,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""OTHER""]",[],,Leibniz integral rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7bd0f94468d7aafd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7bd0f94468d7aafd,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Leibniz integral rule
+leanstral-2603,C0_BASE,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8b256e079cd5bb2e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2158997ade2409e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C0_BASE,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_890d41b21eb77f05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b18b4416795d6bdf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf635a0cd0e525e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c17767b943792a36,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Crossing number inequality,
+leanstral-2603,C0_BASE,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bddc14e401da81b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C0_BASE,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c67ccd17c2f689fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_20c672106bb82af9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_20c672106bb82af9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_20c672106bb82af9,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54e05e5c6e08af3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75db26260e8c77f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C0_BASE,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_489fc155624f3a59,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b61c40e2f7a3951a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C0_BASE,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8efc1c77f3b00293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8efc1c77f3b00293,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Pigeonhole principle
+leanstral-2603,C0_BASE,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f586f8a30fb950e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc67d4ee1a9fe178,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Abel's binomial theorem,Abel's binomial theorem
+leanstral-2603,C0_BASE,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d01bbb4dd46507d9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5d1db2c3403f69f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d1db2c3403f69f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d1db2c3403f69f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b6941789f6881909,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_375673b072a2702b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3990bf766129f0e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0daf444f555983ad,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0daf444f555983ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0daf444f555983ad,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Schwartz–Zippel lemma,Schwartz–Zippel lemma
+leanstral-2603,C0_BASE,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0da020e185cd0f70,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C0_BASE,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba2835aa40a5e152,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C0_BASE,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3356f870086adeb7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C0_BASE,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_672e10e512847399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5b5e164dd68fcc2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C0_BASE,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97526f876e8bfb7b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97526f876e8bfb7b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+leanstral-2603,C0_BASE,rcd2_7a5d51029339da1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a5d51029339da1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a5d51029339da1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burgess inequality,Burgess inequality
+leanstral-2603,C0_BASE,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee011a959990dc45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ddb4ef63aecacf2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ddb4ef63aecacf2b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa206c8dfb1f02c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_458610c8ac5dd02b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ae61e5d62dd86eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6270cd93e4912f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bcb83fe244060818,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Oppenheim conjecture,
+leanstral-2603,C0_BASE,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_862a1c6a19ce8a02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_93a3e0328467e974,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d146f4d752d85f52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Degen's eight-square identity,
+leanstral-2603,C0_BASE,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02d668c2393f2fd2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4a3e31a78e155710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Bioche's rules,
+leanstral-2603,C0_BASE,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bc76aa03e18c8fe5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Boole's inequality,
+leanstral-2603,C0_BASE,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dff887497f71e7d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_570b94d9085240fd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_570b94d9085240fd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,Bregman–Minc inequality
+leanstral-2603,C0_BASE,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8464cfcdfc0fc5f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C0_BASE,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_37a7c40f0e363ed5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5bf4786eb6e5a051,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_204a4b7181bdd7fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_89b41888688c0576,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_89b41888688c0576,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_89b41888688c0576,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a42ba03879a1194,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_54f3e0d05ebd8957,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_17441119733191e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_17441119733191e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Hardy–Ramanujan theorem,Hardy–Ramanujan theorem
+leanstral-2603,C0_BASE,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f85a9522e7ba36c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f85a9522e7ba36c7,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa25ee2da4fe2523,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_17dd9ea788acb589,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8eb12a694aac79ed,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8eb12a694aac79ed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8eb12a694aac79ed,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Crouzeix's conjecture,Crouzeix's conjecture
+leanstral-2603,C0_BASE,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d94da739294469ea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d94da739294469ea,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+leanstral-2603,C0_BASE,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d60b1b18c12e59eb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d60b1b18c12e59eb,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Ahlswede–Daykin inequality,Ahlswede–Daykin inequality
+leanstral-2603,C0_BASE,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39fe66d38fe9cdfa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b39dfc79c77aa66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Dimension theorem for vector spaces,
+leanstral-2603,C0_BASE,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4465aff701049117,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C0_BASE,rcd2_ebd58781b6721f8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ebd58781b6721f8f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ebd58781b6721f8f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Summation by parts,Summation by parts
+leanstral-2603,C0_BASE,rcd2_398e11a5aaf0a255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hermite's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_398e11a5aaf0a255,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_398e11a5aaf0a255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hermite's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_398e11a5aaf0a255,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hermite's identity,Hermite's identity
+leanstral-2603,C0_BASE,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_307f43cf9ab9d397,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1355a711c1bec7a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C0_BASE,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_83393a6d080330a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_88a07c0719d7ad42,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a44d80584b324cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d2731460b2b1ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d2731460b2b1ea9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Lovelock's theorem
+leanstral-2603,C0_BASE,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2762ab20f86ed416,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2762ab20f86ed416,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C0_BASE,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eb91aa0070ccc0db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Markov's inequality,
+leanstral-2603,C0_BASE,rcd2_2065ad2dc59855ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2065ad2dc59855ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2065ad2dc59855ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_399e8381b2d5ea24,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",n! conjecture,
+leanstral-2603,C0_BASE,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d66442c4f7118b9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+leanstral-2603,C1_THEOREM_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+leanstral-2603,C3_HYBRID_RAG,rcd2_b3f0df3b43b77504,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Chain rule (probability),
+leanstral-2603,C0_BASE,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a225a016cee4e0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a225a016cee4e0c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Doob's martingale inequality,Doob's martingale inequality
+leanstral-2603,C0_BASE,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f5195926cedcd0c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b21d61526f25ff7e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Hoeffding's inequality,
+leanstral-2603,C0_BASE,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Star of David theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e0c8bea8017e8c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c65ca9806806e914,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C0_BASE,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1916ee0ece58636f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5a7f9def1c83164,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Bregman–Minc inequality,
+leanstral-2603,C0_BASE,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7dbd0e223ce5bd06,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70ad24cd768215c3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b58d6c04ec8be979,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9811f4cc1e361b7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9e45aa870868bce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9e45aa870868bce,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,Müntz–Szász theorem
+leanstral-2603,C0_BASE,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78440324aa48b75c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f83895a0d0cfa1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C0_BASE,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf070042855b205a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a06afbe404ed385b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a0256146e6f9f26d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa9d6ac9a93931a2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a5628d1d41ac666a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac77d5a441f1e417,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Cramer's rule,
+leanstral-2603,C0_BASE,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8e63f16602a3555,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pigeonhole principle,
+leanstral-2603,C0_BASE,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3d0047bb3c4b6ab3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6273117847e8b39d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bézout's identity,
+leanstral-2603,C0_BASE,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ece3a99aba718ee6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ea2b698fd89cd252,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a61166594d73c73d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",NLTS conjecture,
+leanstral-2603,C0_BASE,rcd2_208231715833f2a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_208231715833f2a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_208231715833f2a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_208231715833f2a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C0_BASE,rcd2_ee04996690fd5613,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_INTERSECTION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee04996690fd5613,positive,OK,ACCEPT,0,0,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Chain rule (probability),Definition of Conditional Probability
+leanstral-2603,C0_BASE,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_85b615da766c0f0a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Nullity theorem,
+leanstral-2603,C0_BASE,rcd2_9bf9d2830f83d8c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bf9d2830f83d8c8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C0_BASE,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_144060c962687147,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_798bd702daf02eba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2461b0407b1aa21b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2461b0407b1aa21b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2461b0407b1aa21b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ff10c4a9e4d2773f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f709c5f45c79e3e5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57e8fda5884f5cda,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_932a9f593481f1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C0_BASE,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a3b62640f51d92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a3b62640f51d92a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Burgess inequality,Burgess inequality
+leanstral-2603,C0_BASE,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70a9e3842fbc5759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_c196384a29209dbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c196384a29209dbe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c196384a29209dbe,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]",[],,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1741c93238e99b4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9cea7b34af7aa242,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Borell–TIS inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9cea7b34af7aa242,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9cea7b34af7aa242,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Borell–TIS inequality
+leanstral-2603,C0_BASE,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c4c5e7ee0edc8cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Joubert's theorem,
+leanstral-2603,C0_BASE,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78eec1099af90250,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ac4e9bdd97a74c97,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e790faa26118510e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8a5280444d33e475,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Kramers' theorem,
+leanstral-2603,C0_BASE,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5599511a186ac35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5599511a186ac35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e24a9ab500e2476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Itô's lemma,
+leanstral-2603,C0_BASE,rcd2_61188a7f5a5f913a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61188a7f5a5f913a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61188a7f5a5f913a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Wiener's lemma,Wiener's lemma
+leanstral-2603,C0_BASE,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9330e4e163980fed,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Blow-up lemma,
+leanstral-2603,C0_BASE,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2538b5ff4f4fb9c2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b759ca8bf50925a8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Darboux's theorem,
+leanstral-2603,C0_BASE,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2465778485baff60,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_49b723f3d88c0ed6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_49b723f3d88c0ed6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_49b723f3d88c0ed6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C0_BASE,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_377616037ca74545,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hardy–Ramanujan theorem,
+leanstral-2603,C0_BASE,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4fb3cdd1336abd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ahlswede–Daykin inequality,
+leanstral-2603,C0_BASE,rcd2_fa3d510252da466c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fa3d510252da466c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fa3d510252da466c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fa3d510252da466c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Gradient theorem,
+leanstral-2603,C0_BASE,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cc49b13c94c52052,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C0_BASE,rcd2_bb440288026b4961,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb440288026b4961,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb440288026b4961,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb440288026b4961,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_3_input_output_chain_mismatch","[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Laplace's principle,Laplace's principle
+leanstral-2603,C0_BASE,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2195a70ec794a6a9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0813262767f07d23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f7ab720779f8269b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Fernique's theorem,
+leanstral-2603,C0_BASE,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_482c80dec40d7566,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_482c80dec40d7566,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_482c80dec40d7566,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Specht's theorem,Specht's theorem
+leanstral-2603,C0_BASE,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66cab5f6d936d09f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2dba4a0470e3814,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2dba4a0470e3814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal's tree theorem,
+leanstral-2603,C0_BASE,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_030ac09b7511d767,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9965e29bf7704ec5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Schur's lemma,
+leanstral-2603,C0_BASE,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86b0c56b8ac175d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86b0c56b8ac175d1,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C0_BASE,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_65644afbd1e3e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Faltings' theorem,
+leanstral-2603,C0_BASE,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b86e0748b3cdba9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_09c367dcd9f8db8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_09c367dcd9f8db8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_09c367dcd9f8db8a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Uniqueness theorem for Poisson's equation,Uniqueness theorem for Poisson's equation
+leanstral-2603,C0_BASE,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8aae8dcf8c380fb9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+leanstral-2603,C1_THEOREM_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_513b1598b9baa859,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,
+leanstral-2603,C3_HYBRID_RAG,rcd2_513b1598b9baa859,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Gauss congruence,Gauss congruence
+leanstral-2603,C0_BASE,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_71d44f9000e0b3d6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_62b414b9d18b3dd4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Fischer's inequality,
+leanstral-2603,C0_BASE,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_20ccc4fed064828a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Szemerédi regularity lemma,
+leanstral-2603,C0_BASE,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f308238a1ba07a9c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cead893eee6bb0ad,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Linnik's theorem,
+leanstral-2603,C0_BASE,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1d07f441412c4ea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1d07f441412c4ea9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,L'Hôpital's rule
+leanstral-2603,C0_BASE,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b81291ea2f3f8929,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aab6f364324e2818,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6f0762f2ce2af172,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8899bbee82c3142f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7654f8274afb3628,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,McKay conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7654f8274afb3628,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc98b2e75d3803cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pascal's rule,
+leanstral-2603,C0_BASE,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_019d6531a75cb753,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95ae01b78d09c3f1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Ehrenfest theorem,
+leanstral-2603,C0_BASE,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e893e4fa6f69b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79f748a9aa349da8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",H-theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79f748a9aa349da8,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",H-theorem,H-theorem
+leanstral-2603,C0_BASE,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e16d9e2c1f4bef0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3568f5f996ab5cc2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86c247b4bc4284dd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0383c29f5d9ba824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Müntz–Szász theorem,
+leanstral-2603,C0_BASE,rcd2_af3f970c00253080,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af3f970c00253080,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af3f970c00253080,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af3f970c00253080,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C0_BASE,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7f85f9da502cab5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45f638c90a3357c0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C0_BASE,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0c718ea8cbab8651,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_05b6d6fe3ffa91a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_276e38004b1fb789,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_276e38004b1fb789,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_INTERSECTION_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Artin–Rees lemma,Artin–Rees lemma
+leanstral-2603,C0_BASE,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c1bf5dd809ef3ff4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Rank–nullity theorem,
+leanstral-2603,C0_BASE,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_abe5b6af42bdd03c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_afd8e485996522e0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_020dfc2462e1c4b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_020dfc2462e1c4b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_020dfc2462e1c4b7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C0_BASE,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_801361205d7e2558,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_801361205d7e2558,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C0_BASE,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bab5ea97193b3010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",McKay conjecture,
+leanstral-2603,C0_BASE,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fba8cf0b1dfff16e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6d2b5b4eb6cf4cd9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C0_BASE,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_968a638644dc17e3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C0_BASE,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_21b903155a2fe99b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e0ea5be342965139,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Levi's lemma,
+leanstral-2603,C0_BASE,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01f884b566f4801a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_564fb63145ce20ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79b7647bad8bcba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3d2097ea21807fcf,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Bézout's identity,
+leanstral-2603,C0_BASE,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fe40129fd8b57a98,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fe40129fd8b57a98,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Kantorovich inequality,Kantorovich inequality
+leanstral-2603,C0_BASE,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3fab9e4574a2e4ce,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krener's theorem,
+leanstral-2603,C0_BASE,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_421055a40df188f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3cc560f548e45440,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0213f7359b431293,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4579c81146869af,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4579c81146869af,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C0_BASE,rcd2_cf7e538ff1d9d0f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf7e538ff1d9d0f2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Boole's inequality,Boole's inequality
+leanstral-2603,C0_BASE,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_18e670434eae62a6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_18e670434eae62a6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e41c36c446bdf551,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_921a76f6edb470bb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Mean value theorem,
+leanstral-2603,C0_BASE,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bfb783dd692e1a31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_44a8f50914d61eeb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_966db01a49c289fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4f1f7b37dce275c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fdc4befaa8e4a544,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fdc4befaa8e4a544,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Counting lemma,
+leanstral-2603,C0_BASE,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34ec5865ac0efbad,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e1e4ebb749df1d3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_16598d9b5c092193,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b56ec612096c89a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_MONOTONE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5ae805707bb3d85,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5ae805707bb3d85,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,Bennett's inequality
+leanstral-2603,C0_BASE,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04992f36dc4c8cda,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Mean value theorem,
+leanstral-2603,C0_BASE,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bba38e27fb61a0b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Specht's theorem,
+leanstral-2603,C0_BASE,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad9fdf6fbb73afa3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b10833c4ff765ac2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_37642fccea4f12cc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_aa3875812f56a304,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3fa7fe27c8bb3e44,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2a362a899d5e2dc9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f5adc18d213ab75,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Van der Waerden's theorem,
+leanstral-2603,C0_BASE,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9587acb5bcacbe28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Tucker's lemma,
+leanstral-2603,C0_BASE,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_125aa2859642e72a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C0_BASE,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c71ad74a0911080b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c71ad74a0911080b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Fundamental lemma of sieve theory,Fundamental lemma of sieve theory
+leanstral-2603,C0_BASE,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9ba8f667c7f84eef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C0_BASE,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2157838478ca50db,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Boole's inequality,
+leanstral-2603,C0_BASE,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e341ce7bfbc967e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d3ec810f8f3d5e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Graham problem,
+leanstral-2603,C0_BASE,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_933d1f7c4a570618,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Morse–Palais lemma,
+leanstral-2603,C0_BASE,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_911dbed887181438,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ade69f2fe4b188c6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_914ba9e86b167a6d,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_WITNESS_ENCODING""]",[],,Goldbach's weak conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_914ba9e86b167a6d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_914ba9e86b167a6d,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Goldbach's weak conjecture
+leanstral-2603,C0_BASE,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C1_THEOREM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C3_HYBRID_RAG,rcd2_041f731cd54aaa3f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Bernstein's theorem (polynomials),
+leanstral-2603,C0_BASE,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f1f578d0fa8eb45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f0179732403d141,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bennett's inequality,
+leanstral-2603,C0_BASE,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c2ffadc42182df9b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c2ffadc42182df9b,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Multinomial theorem
+leanstral-2603,C0_BASE,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_275e02b7ca817fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Hawkins–Simon condition,
+leanstral-2603,C0_BASE,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19a65c1daf3586a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C0_BASE,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34a380b8d5e4a737,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Candido's identity,
+leanstral-2603,C0_BASE,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_576a83b0949109be,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2bc9a87801d3aafc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2bc9a87801d3aafc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2bc9a87801d3aafc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C0_BASE,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2993bb8d22801e8a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Lorden's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2993bb8d22801e8a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2993bb8d22801e8a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Lorden's inequality
+leanstral-2603,C0_BASE,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_893dd8586f6d9ac5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a52ae08957c305a0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a52ae08957c305a0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C0_BASE,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2db6828dafcb10c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2db6828dafcb10c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,Ptolemy's inequality
+leanstral-2603,C0_BASE,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55d8c68928a5f177,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ce3f6051346c22b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_577277997be6db38,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb52f4c29cad4ac4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chebyshev's inequality,
+leanstral-2603,C0_BASE,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9ad6db8a7f22b02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_60cf00adafbbc993,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19b594f55f72dcd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2552d3569686b8b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_52f5c8ef79bb0d67,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Ramanujan's master theorem,
+leanstral-2603,C0_BASE,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dead898a1bad17a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Divergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dead898a1bad17a9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C0_BASE,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1125bb34b24596e3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1125bb34b24596e3,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Brun–Titchmarsh theorem
+leanstral-2603,C0_BASE,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86355f4b84e0ed6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Modularity theorem,
+leanstral-2603,C0_BASE,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79286948df3bcab7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79286948df3bcab7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kruskal–Katona theorem,Kruskal–Katona theorem
+leanstral-2603,C0_BASE,rcd2_3c6e0e6d859f0877,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c6e0e6d859f0877,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c6e0e6d859f0877,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Wigner–Eckart theorem,Wigner–Eckart theorem
+leanstral-2603,C0_BASE,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bac0443442a43608,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b17490087fc2380,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C0_BASE,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43ebfc9c5f2bf842,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Erdős–Kaplansky theorem,Erdős–Kaplansky theorem
+leanstral-2603,C0_BASE,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7a342fd7d865d7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_692f5ed38c16157a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_692f5ed38c16157a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_692f5ed38c16157a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e4f7da0f4be53d58,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f8a294fba4a8dd4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8a294fba4a8dd4b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C0_BASE,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b1f90d2e3a782a75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_30b6e21721c27e48,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_373f29e202e68b1d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bdfbdf4986bdfc7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f11f844daf54447d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1594bd9a579dfe2a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_40048c68d319c79f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_91b1fe1dc43a7827,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C0_BASE,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75bbf59e9f885039,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ead0fb236adbcf7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6151f6b035c13da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6151f6b035c13da9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6151f6b035c13da9,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+leanstral-2603,C0_BASE,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61fa5ba1681bf179,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_203ad24190faf7f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d688439786af3bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d688439786af3bd7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d688439786af3bd7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",McKay conjecture,McKay conjecture
+leanstral-2603,C0_BASE,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6631bf8f668d1b46,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Schur's theorem,
+leanstral-2603,C0_BASE,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4804a253e45aa9d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C0_BASE,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86d3ce6ddcb8f4de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",No-deleting theorem,
+leanstral-2603,C0_BASE,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de4d817ce4fa0a62,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de4d817ce4fa0a62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de4d817ce4fa0a62,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0bb6ed38a9a784a7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Hensel's lemma,
+leanstral-2603,C0_BASE,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2584a59ed2dda73e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C0_BASE,rcd2_fd594362b7e46094,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd594362b7e46094,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd594362b7e46094,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9c44462f20de09b1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b61cdf2bc3734510,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5292e4401ab86b3e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5292e4401ab86b3e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5292e4401ab86b3e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Varadhan's lemma,Varadhan's lemma
+leanstral-2603,C0_BASE,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7d5d2027cf7f4c4a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0f690f47d45d6c84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95fadca70790a1d3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95fadca70790a1d3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f8d1c75cade941c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9dee64631a4888a9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C0_BASE,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ae1a00b84b01fc24,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9b1888ec20602ce1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9becb5894bec52b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_865b04ef61df53d3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_10c5bb88a878590f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_53a039950c75f367,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_847fe3890b71a87c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Lorden's inequality,
+leanstral-2603,C0_BASE,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eaa0d79e5cb773a4,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,"operation_step_length_mismatch,step_2_input_output_chain_mismatch","[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Blackwell's informativeness theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eaa0d79e5cb773a4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_720e1f7be2e10e65,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Isolation lemma,
+leanstral-2603,C0_BASE,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7d96bf4def292ca7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_64b60b306ea5cd50,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Muirhead's inequality,
+leanstral-2603,C0_BASE,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e0d71b0af25de4fe,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2440b0622d7ef1e8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Interior extremum theorem,
+leanstral-2603,C0_BASE,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3b3df24cf201b86,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C0_BASE,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e7b343249d9140b4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e7b343249d9140b4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Landsberg–Schaar relation,Landsberg–Schaar relation
+leanstral-2603,C0_BASE,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b0ffed41821d312b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C0_BASE,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e29c151c223de9c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Duffin–Schaeffer theorem,
+leanstral-2603,C0_BASE,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8c52647fa2a4dd41,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Besicovitch inequality,
+leanstral-2603,C0_BASE,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_81c9a8f9342760d0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_925770f9c0d7615f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C0_BASE,rcd2_d702dd1cb8bf9934,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d702dd1cb8bf9934,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d702dd1cb8bf9934,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Divergence theorem,Divergence theorem
+leanstral-2603,C0_BASE,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2956e002fed20ab3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Beck–Fiala theorem,
+leanstral-2603,C0_BASE,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_de7b936da0b2d977,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3ed80810ff18d883,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C0_BASE,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a254932073f897c8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C0_BASE,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a109039f86ec3e52,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",n! conjecture,
+leanstral-2603,C0_BASE,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_db888f2b9c2f6445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_da425914fdcfab0c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Artin–Rees lemma,
+leanstral-2603,C0_BASE,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95c6eb39434b8c12,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9563b3e84bb19824,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9563b3e84bb19824,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C0_BASE,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,Kuznetsov trace formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9753fa09ed0b8e9a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C0_BASE,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f2fcb4f38217cc6a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]",[],,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fdde63d7e0c1d462,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Siegel's lemma,
+leanstral-2603,C0_BASE,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef7ab71ec22ef43e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C0_BASE,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07e383b362aa8a51,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Little's law,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07e383b362aa8a51,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Little's law,Little's law
+leanstral-2603,C0_BASE,rcd2_fac3875e17459c54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fac3875e17459c54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fac3875e17459c54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fac3875e17459c54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Multinomial theorem,
+leanstral-2603,C0_BASE,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_89cd721d983ade70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e0f36614bc9c9d98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70d2fbb16e7c30fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2cb28ca6f59a2372,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Baranyai's theorem,
+leanstral-2603,C0_BASE,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0078c099eead9d38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",No-deleting theorem,
+leanstral-2603,C0_BASE,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ca7dfac045ea5b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C0_BASE,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bf94654b4f9a2707,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_379368c4ab265f7d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e28d890b7d0071d2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C1_THEOREM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C3_HYBRID_RAG,rcd2_85b60f83c70c950f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C0_BASE,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43745c941b0f0976,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c74fee1471bead6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c74fee1471bead6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Favard's theorem,Favard's theorem
+leanstral-2603,C0_BASE,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_040e0c69fc864cb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",No-deleting theorem,
+leanstral-2603,C0_BASE,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55b78034bad68fbd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C0_BASE,rcd2_7585478edbd6d0c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7585478edbd6d0c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7585478edbd6d0c2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Bertrand's postulate,Bertrand's postulate
+leanstral-2603,C0_BASE,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a60654c119413958,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bdd936dd6f7807f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bdd936dd6f7807f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C0_BASE,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a4257263dce9415a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a4257263dce9415a,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_QUANTIFIER_ENCODING""]",Sauer–Shelah lemma,Sauer–Shelah lemma
+leanstral-2603,C0_BASE,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f4256470099e4754,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f4256470099e4754,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Curtis–Hedlund–Lyndon theorem,Curtis–Hedlund–Lyndon theorem
+leanstral-2603,C0_BASE,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_003b90410ebd7a92,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e85f992e49f523e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C0_BASE,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8008892ac7412c22,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C0_BASE,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72c2fa0be3229da8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_34cc1f8a3a253cf8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Minkowski–Hlawka theorem,
+leanstral-2603,C0_BASE,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8792021373e89269,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2bceec7978731fc6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Hypergeometric identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7ac6cc761d45e5f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9179421b66927cd1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70bb68cb1e918a99,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70bb68cb1e918a99,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70bb68cb1e918a99,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70bb68cb1e918a99,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ptolemy's inequality,
+leanstral-2603,C0_BASE,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9dd53980c8b0774,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e7780cb999e6894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b2d7a71a952e771c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Inverse function theorem,
+leanstral-2603,C0_BASE,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_385ade6cf64fb932,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eae07cc59e08625f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d2f66ad3b4dbba8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ffec2bc0daca0392,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Erdős–Szemerédi theorem,
+leanstral-2603,C0_BASE,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4cd8d9cae9ab5d29,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ac3fbd373644595,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ccbf35656f90e8fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Area theorem,
+leanstral-2603,C0_BASE,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bdfeb27a0cfd2b26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Campbell's theorem,
+leanstral-2603,C0_BASE,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7e9f232585dc265,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f60a443a376b7450,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING"", ""OTHER""]",[],,Fischer's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f60a443a376b7450,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f60a443a376b7450,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Fischer's inequality
+leanstral-2603,C0_BASE,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1debddf48a890c05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b46056b00fdcea6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b46056b00fdcea6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b46056b00fdcea6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b46056b00fdcea6d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Vandermonde's identity,
+leanstral-2603,C0_BASE,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_23ee629edc8aa69e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Tube lemma,
+leanstral-2603,C0_BASE,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55c96b773598218d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Carleman's condition,
+leanstral-2603,C0_BASE,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_77f3b7e8e090a90b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c3c28791d9330cd1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",n! conjecture,
+leanstral-2603,C0_BASE,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_be38ac27e88f1710,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_be38ac27e88f1710,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Céa's lemma,Céa's lemma
+leanstral-2603,C0_BASE,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8289d9b44400e9d4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8289d9b44400e9d4,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Besicovitch inequality,Besicovitch inequality
+leanstral-2603,C0_BASE,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_55b0385ad7c1fd53,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_55b0385ad7c1fd53,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Siegel identity,Siegel identity
+leanstral-2603,C0_BASE,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a2451b5c0918434,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a2451b5c0918434,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Local criterion for flatness,Local criterion for flatness
+leanstral-2603,C0_BASE,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_13ad8a5a10ec4c89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4ffd9988125d6814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4ffd9988125d6814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4ffd9988125d6814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4ffd9988125d6814,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Hadamard's inequality,
+leanstral-2603,C0_BASE,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f13fad1a0c4cb34,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6319fee0953e466b,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6319fee0953e466b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6319fee0953e466b,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0a3faa27e9ce3baa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C0_BASE,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_737e7a1095d0606b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d773d2d3ac0f85fa,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_93d43fde52adb3f7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_93d43fde52adb3f7,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Tucker's lemma
+leanstral-2603,C0_BASE,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3006f70578de9908,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b461641dcf6cbe9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schwarz lemma,
+leanstral-2603,C0_BASE,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_896a94659a66a436,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_896a94659a66a436,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Fundamental lemma,Fundamental lemma
+leanstral-2603,C0_BASE,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5588c2f68ca06a3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4a1d9c12f5d58cf4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5855a2c124d4168,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",q-Vandermonde identity,
+leanstral-2603,C0_BASE,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5e7294e4885399f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cd5096d20438a806,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd5096d20438a806,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd5096d20438a806,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Cassini and Catalan identities,Cassini and Catalan identities
+leanstral-2603,C0_BASE,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39f2d598e043ba48,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lubell–Yamamoto–Meshalkin inequality,
+leanstral-2603,C0_BASE,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5c3600d230fb93a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e73c668286c8e7e7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C0_BASE,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_992ae5dfbe51271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_933f4f9ba8f494a1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C0_BASE,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8286230baebd6c45,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_128437815487b55b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_128437815487b55b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_128437815487b55b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Reynolds transport theorem,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+leanstral-2603,C1_THEOREM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+leanstral-2603,C3_HYBRID_RAG,rcd2_28d1c509e38b5959,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Difference of two squares,
+leanstral-2603,C0_BASE,rcd2_942e12e712bbf374,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_942e12e712bbf374,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_942e12e712bbf374,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Sophie Germain's identity,Sophie Germain's identity
+leanstral-2603,C0_BASE,rcd2_63abd39b034fdec8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_63abd39b034fdec8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_63abd39b034fdec8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_63abd39b034fdec8,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Hockey-stick identity,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59e258f17bbbb660,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_43493e93f21a6269,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Modularity theorem,
+leanstral-2603,C0_BASE,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c09cdce6a70d80a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58a79061f633fe57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ed64dda77e8c0e3c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47325fe0d2beb9c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47325fe0d2beb9c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47325fe0d2beb9c9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Schur's lemma,Schur's lemma
+leanstral-2603,C0_BASE,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bf391a03bd81a63,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Vaughan's identity,
+leanstral-2603,C0_BASE,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9317f094283fe416,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_979a02ed5e86a5e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C1_THEOREM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_979a02ed5e86a5e6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,
+leanstral-2603,C3_HYBRID_RAG,rcd2_979a02ed5e86a5e6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Minkowski's first inequality for convex bodies,Minkowski's first inequality for convex bodies
+leanstral-2603,C0_BASE,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4bf77880ecf45445,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4bf77880ecf45445,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Itô's lemma,Itô's lemma
+leanstral-2603,C0_BASE,rcd2_dc89fc01824c8f34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dc89fc01824c8f34,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dc89fc01824c8f34,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Binet–Cauchy identity,Binet–Cauchy identity
+leanstral-2603,C0_BASE,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_PAIR_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a7d1b5c45e0ab4d0,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_966d6a278244b5f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9e94669458c1bfc0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Jacobi triple product
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9e94669458c1bfc0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9e94669458c1bfc0,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""EXPAND_ABBREVIATIONS""]",[],,Jacobi triple product
+leanstral-2603,C0_BASE,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_210c31d97cbd01f5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2ae77902a37e5439,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f96a60888ce1de15,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_06cc2cc1acce42b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f633899b8152ae8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45074ae4634aa92a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C0_BASE,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_093f9a4917a8a7b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c736bfd81fc10a4e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c37c92e14f11df36,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C1_THEOREM_RAG,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C3_HYBRID_RAG,rcd2_50b6391773166e37,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Covering problem of Rado,
+leanstral-2603,C0_BASE,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_618952c56acc3476,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f953fae1bf03687,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba5331b2ca7379d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bab135a939b0de4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_261a97b5ffce201c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Levi's lemma,
+leanstral-2603,C0_BASE,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ca9b23c8a4167963,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,Burgess inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ca9b23c8a4167963,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Burgess inequality,
+leanstral-2603,C0_BASE,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90a4d4469bc29872,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Modularity theorem,
+leanstral-2603,C0_BASE,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_605424c227742759,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C0_BASE,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_01f296a0215e5989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Nielsen–Ninomiya theorem,
+leanstral-2603,C0_BASE,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3633d058ec15608c,positive,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3633d058ec15608c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3633d058ec15608c,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Tupper's self-referential formula,Tupper's self-referential formula
+leanstral-2603,C0_BASE,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_006a8f8829a36255,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Malliavin's absolute continuity lemma,
+leanstral-2603,C0_BASE,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5fc73b6db1b9142b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5fc73b6db1b9142b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6384211fb4bf176f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_86d3f5f0ac797f18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Lamé's theorem,
+leanstral-2603,C0_BASE,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0fd5002e0805541,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2d5c7f9fec7f21fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_23309e8582c56057,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",NLTS conjecture,
+leanstral-2603,C0_BASE,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_601e3b7aae2f0eb2,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_085b25c77e5a116b,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_085b25c77e5a116b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_085b25c77e5a116b,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,q-Vandermonde identity
+leanstral-2603,C0_BASE,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8798bfa9bc8afc7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5775b0cdd83a44c,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Brun–Titchmarsh theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5775b0cdd83a44c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5775b0cdd83a44c,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Brun–Titchmarsh theorem
+leanstral-2603,C0_BASE,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b3e9d3088067423d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_673474bd6517e3b2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Boole's inequality,
+leanstral-2603,C0_BASE,rcd2_6528db9dff1e4be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6528db9dff1e4be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6528db9dff1e4be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6528db9dff1e4be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Hermite's identity,
+leanstral-2603,C0_BASE,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8763026c14110c72,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a79bc5ce30756026,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a79bc5ce30756026,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a79bc5ce30756026,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Beck–Fiala theorem,Beck–Fiala theorem
+leanstral-2603,C0_BASE,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3828007b9ae465e1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3c8a440dcfa3c37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3c8a440dcfa3c37d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Polarization identity,Polarization identity
+leanstral-2603,C0_BASE,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_955c53e9f8a00bdb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d3190f9ad183499,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb76bf5af6ab77d7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Fischer's inequality,
+leanstral-2603,C0_BASE,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd6f7bcda99e8066,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_96b57d8e36fa706f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_96b57d8e36fa706f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_PAIR_ENCODING""]",[],,Little's law
+leanstral-2603,C0_BASE,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_666939b00ebe2b08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C0_BASE,rcd2_e97d1a100a56b298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e97d1a100a56b298,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e97d1a100a56b298,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e97d1a100a56b298,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Gibbs' inequality,Gibbs' inequality
+leanstral-2603,C0_BASE,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d62c97fba729c3f0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Doob's martingale inequality,
+leanstral-2603,C0_BASE,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+leanstral-2603,C1_THEOREM_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+leanstral-2603,C3_HYBRID_RAG,rcd2_89c6dc0e4977804c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dini test,
+leanstral-2603,C0_BASE,rcd2_a7a22381d77d3495,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a7a22381d77d3495,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a7a22381d77d3495,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Binomial theorem,Binomial theorem
+leanstral-2603,C0_BASE,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2fbe3a783dba2f54,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Carlitz–Wan conjecture,
+leanstral-2603,C0_BASE,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8296d29446935029,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C1_THEOREM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C3_HYBRID_RAG,rcd2_6414897882d1e8e2,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Leibniz integral rule,Leibniz integral rule
+leanstral-2603,C0_BASE,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dfb99f09db23a771,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5b6096cfdc0f6e14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b6096cfdc0f6e14,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+leanstral-2603,C0_BASE,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eaef315dd90ea15c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Beck–Fiala theorem,
+leanstral-2603,C0_BASE,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7187cb212b639fd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C0_BASE,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9c7a49dd77921ecd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c12d52aa2fae8fb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_19594575fa5d2a05,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0409e23e3a57028,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C0_BASE,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df218b86b5bf0587,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9fe489080289dc6b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9fe489080289dc6b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""EXPAND_ABBREVIATIONS""]","[""REMOVE_PAIR_ENCODING""]",Cyclotomic identity,Cyclotomic identity
+leanstral-2603,C0_BASE,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ca9f78da5f076245,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Neyman–Pearson lemma,
+leanstral-2603,C0_BASE,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5d42b4706c37da8d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C0_BASE,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47e111c42f0f0289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_59c0e8593d1d0c94,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fine and Wilf's theorem,
+leanstral-2603,C0_BASE,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3687e5847afc2b4f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Schur's theorem,
+leanstral-2603,C0_BASE,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_979b66fc921b5b89,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Sun's curious identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_979b66fc921b5b89,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_979b66fc921b5b89,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Sun's curious identity
+leanstral-2603,C0_BASE,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_76c30fbe015cd216,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fee177792ae064ee,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75a7042a694c60c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Borel–Cantelli lemma,
+leanstral-2603,C0_BASE,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ebb7ef80087ca749,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rado's theorem,
+leanstral-2603,C0_BASE,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_95db87754e8727ea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_95db87754e8727ea,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]",[],,Thom's second isotopy lemma
+leanstral-2603,C0_BASE,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_38873039da81f870,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c51fe3e74cef7f1f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rising sun lemma,
+leanstral-2603,C0_BASE,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_986a3dd1752a2030,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dba56502073faf2b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3f617ec8731f660a,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_WITNESS_ENCODING""]",[],,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3f617ec8731f660a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3f617ec8731f660a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4eac0c67855426c5,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4eac0c67855426c5,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Fejér's theorem,Fejér's theorem
+leanstral-2603,C0_BASE,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_796f22a19dbce316,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9265d8795be426d0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Kuznetsov trace formula,
+leanstral-2603,C0_BASE,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c3a2fb478622861f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_13c295015e77cc9f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_58b221892db2f04a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_58b221892db2f04a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Gaussian isoperimetric inequality,Gaussian isoperimetric inequality
+leanstral-2603,C0_BASE,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_602af44cc881dd8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1774a14a0cf3b2e0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Andreotti–Grauert theorem,
+leanstral-2603,C0_BASE,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec77aae0654d9ded,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Landau–Mignotte bound,
+leanstral-2603,C0_BASE,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fbbfde9c2260625e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ca3b309d2341539f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c508ae452f376b16,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4e14250c1a931a1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0e88700fe08373b3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0e88700fe08373b3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Wendel's theorem,Wendel's theorem
+leanstral-2603,C0_BASE,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00a3e39014ef960c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d03a5a5b1732d780,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",MacMahon's master theorem,
+leanstral-2603,C0_BASE,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bff1dd29617a4445,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_416ddc3b3cb7fd08,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Wigner–Eckart theorem,
+leanstral-2603,C0_BASE,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c31394e3f36e4529,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e9cc05ca252f26b0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Chernoff bound,
+leanstral-2603,C0_BASE,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9bb8812901417289,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46d19bbbdc767b74,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46d19bbbdc767b74,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Besicovitch inequality
+leanstral-2603,C0_BASE,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0df2a2bca5533c02,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C0_BASE,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee69d5d3535ee66a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Fluctuation theorem,
+leanstral-2603,C0_BASE,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1104b6afd1528fc9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Pólya–Szegő inequality,
+leanstral-2603,C0_BASE,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7f17732e394111df,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C0_BASE,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47a0d8aeefafd46a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47a0d8aeefafd46a,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Reynolds transport theorem
+leanstral-2603,C0_BASE,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90cdfc2108eaa7a0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9fd8a24ebc79989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9fd8a24ebc79989,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9fd8a24ebc79989,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d0b64b7d8b301dd0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Stanley–Wilf conjecture,
+leanstral-2603,C0_BASE,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d92451ac8aeab523,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Kruskal's tree theorem,
+leanstral-2603,C0_BASE,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_92c3733caa9498dc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C0_BASE,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79f715e10ba2e910,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Girsanov theorem,
+leanstral-2603,C0_BASE,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a1785274e4932901,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9d641c718f6f8f8a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C0_BASE,rcd2_fc860fc35c90c78f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc860fc35c90c78f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,Kolmogorov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc860fc35c90c78f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc860fc35c90c78f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Kolmogorov's inequality,
+leanstral-2603,C0_BASE,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4a3926af433ce763,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Wiener's lemma,
+leanstral-2603,C0_BASE,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3905b75cb9f9a54,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b820a81edca1626,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75050c5debae4399,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d46366b211cf04c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Uniqueness theorem for Poisson's equation,
+leanstral-2603,C0_BASE,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab10577063a4e0a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b42ccc9944097d26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Tucker's lemma,
+leanstral-2603,C0_BASE,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3793ec4e449bcfb1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_35ab090831c7bed9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7b6c1761c9fb3d31,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b9c3caf7eeb09be1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C0_BASE,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_091cf4cfdc133751,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Sauer–Shelah lemma,
+leanstral-2603,C0_BASE,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a19e551d25cf6be7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a19e551d25cf6be7,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CONTAINMENT_ENCODING""]",Ehrling's lemma,Ehrling's lemma
+leanstral-2603,C0_BASE,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_48b1f26e61628302,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_625e0abe41881798,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_00ff77ca0ea9d005,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Arakelyan's theorem,
+leanstral-2603,C0_BASE,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d78913a50028459f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_8f27d2bd238554b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8f27d2bd238554b6,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,Bernstein inequalities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8f27d2bd238554b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8f27d2bd238554b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Bernstein inequalities,
+leanstral-2603,C0_BASE,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ea68a688ef82946c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ea68a688ef82946c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ea68a688ef82946c,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bruck–Ryser–Chowla theorem,Bruck–Ryser–Chowla theorem
+leanstral-2603,C0_BASE,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c748ef21ea98e68a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b5be8ba8b14f81c2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Pólya enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d6790e714d3c59fc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8c89efa758b8894a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ad050d2f4a4c223c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Abel's inequality,
+leanstral-2603,C0_BASE,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ededb3e7d9c67f6b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bb22f9db9e49cb69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df12720a3535a177,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C0_BASE,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bd2772ccd629a4b4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72e9f81234847edf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c7449eeefa9e5a55,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c7449eeefa9e5a55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c7449eeefa9e5a55,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Bobkov's inequality,Bobkov's inequality
+leanstral-2603,C0_BASE,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a76fd541c6bf72e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_69d5dbbadcf2142e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C0_BASE,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fef2e0ee5ec76c14,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a583997a1bc8eefa,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a583997a1bc8eefa,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Selberg's zeta function conjecture,Selberg's zeta function conjecture
+leanstral-2603,C0_BASE,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4e666a47fd1aec1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4e666a47fd1aec1e,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Milman's reverse Brunn–Minkowski inequality,Milman's reverse Brunn–Minkowski inequality
+leanstral-2603,C0_BASE,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd9b90ab1974a382,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_77950a9930b45dac,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Levinson's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_77950a9930b45dac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_421a720d753a2c32,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4d720f65927981bc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_70c071db63e9580f,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Eaton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_70c071db63e9580f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f89d2ea40c42ed23,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_PAIR_ENCODING""]",[],,Wigner–Eckart theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f89d2ea40c42ed23,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f89d2ea40c42ed23,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""EXPAND_ABBREVIATIONS""]",[],,Wigner–Eckart theorem
+leanstral-2603,C0_BASE,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8dd1e68921e06ef9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Difference of two squares,
+leanstral-2603,C0_BASE,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a7edf9f97b9ead78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b78d69fa3f2ac95,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Z-channel capacity,
+leanstral-2603,C0_BASE,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbfbdb6d4aa139f6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7d2beab0d850b7c9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C0_BASE,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d96bb9f34cb97e9d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_807e5797968cd010,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Faltings' theorem,
+leanstral-2603,C0_BASE,rcd2_d247b4611bc7bf35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d247b4611bc7bf35,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d247b4611bc7bf35,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C0_BASE,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_35c20ac47fddb168,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_381a4e1c8e8c37f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C0_BASE,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6502f60754897042,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,No-deleting theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6502f60754897042,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24f4c0e266b95061,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C0_BASE,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f288b5163ddb852,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_544de3a8d329d8f7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Kneser's theorem,
+leanstral-2603,C0_BASE,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c58911d821657cf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Minkowski's theorem,
+leanstral-2603,C0_BASE,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9796c5eb59708d18,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Levinson's theorem,
+leanstral-2603,C0_BASE,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_032f8ed374400db2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Hsu–Robbins–Erdős theorem,
+leanstral-2603,C0_BASE,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_447a7b3dc192ed90,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4bde718f76cbf395,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_09e5c6c8945da19a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Freiman's theorem,
+leanstral-2603,C0_BASE,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6902297255aee68d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Labelled enumeration theorem,
+leanstral-2603,C0_BASE,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e95355111f622553,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Doob–Dynkin lemma,
+leanstral-2603,C0_BASE,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2d644345eebc9aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Isoperimetric inequality,
+leanstral-2603,C0_BASE,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5f6cd6cf2b37c39b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45b050d2ab02e31a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Zolotarev's lemma,
+leanstral-2603,C0_BASE,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72d4aaccbf09b00b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Joubert's theorem,
+leanstral-2603,C0_BASE,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2b3b5a1c94cffc83,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a25af218409efa28,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Routh–Hurwitz theorem,
+leanstral-2603,C0_BASE,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4445b388ad537a4d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f18ec1a696d9ab01,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07f8cbbad8b117bc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Girsanov theorem,
+leanstral-2603,C0_BASE,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2cc2bfd30efdfcb4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3d19aa828bfe9310,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90a0c3ea3414fdba,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_33691eafaa2a7f69,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e072a8a7bbf3385,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_828eb294f101a58b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Krasner's lemma,
+leanstral-2603,C0_BASE,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d4b821ed259aa23f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_264cfc6278dc4e68,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7426b92c23ca0b16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Fermat's Last Theorem,
+leanstral-2603,C0_BASE,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bec077af3eab7d50,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a27bbab42c32790a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a27bbab42c32790a,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a27bbab42c32790a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a27bbab42c32790a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Cauchy–Davenport theorem,Cauchy–Davenport theorem
+leanstral-2603,C0_BASE,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e15c16605b7d5e86,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e15c16605b7d5e86,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Algorithmic Lovász local lemma
+leanstral-2603,C0_BASE,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d5cb806e4ed67894,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]",[],,Turán–Kubilius inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d5cb806e4ed67894,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d5cb806e4ed67894,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",[],,Turán–Kubilius inequality
+leanstral-2603,C0_BASE,rcd2_6b43a7e754e06dbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_PAIR_ENCODING""]",[],,Hockey-stick identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6b43a7e754e06dbc,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6b43a7e754e06dbc,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_QUANTIFIER_ENCODING""]",[],,Hockey-stick identity
+leanstral-2603,C0_BASE,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0a43a36ddcfad0f8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d94939cbc159b47e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_76173772571a48c7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c332d8ec1c1724d1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f64ef8fa13ec9a2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f64ef8fa13ec9a2f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Multinomial theorem,Multinomial theorem
+leanstral-2603,C0_BASE,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5cae55e23e8b9eac,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_bd7f329048f4aef8,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Robbins lemma,
+leanstral-2603,C0_BASE,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8899f2615a98dede,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8899f2615a98dede,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",L'Hôpital's rule,L'Hôpital's rule
+leanstral-2603,C0_BASE,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1e138c54ad42079c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f01dbcd182ca94c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8b86e80b7aa551f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8b86e80b7aa551f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Bartlett's theorem,Bartlett's theorem
+leanstral-2603,C0_BASE,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5d499bcf17a35fd,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_32a935350dfd460e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Bayes' theorem,
+leanstral-2603,C0_BASE,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cce50ad5d4c9be17,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24b021eff602e94c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Morse theory,
+leanstral-2603,C0_BASE,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8e0fdd5fbb78076e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Sylvester's law of inertia,
+leanstral-2603,C0_BASE,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b027f30b3eff894a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Burgess inequality,
+leanstral-2603,C0_BASE,rcd2_a963b2e62fedf1f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a963b2e62fedf1f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a963b2e62fedf1f3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_ARGMIN_ENCODING""]",Boué–Dupuis formula,Boué–Dupuis formula
+leanstral-2603,C0_BASE,rcd2_ba83a20cbd35cc26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba83a20cbd35cc26,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba83a20cbd35cc26,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Hypergeometric identity,Hypergeometric identity
+leanstral-2603,C0_BASE,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_760d41071ebdd66b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Abel's theorem,
+leanstral-2603,C0_BASE,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2e05c976dc9dfcea,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Intermediate value theorem,
+leanstral-2603,C0_BASE,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e52ccb51868dbea3,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ee23d2e2cadfb10a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c6918fae05833ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Lovelock's theorem,
+leanstral-2603,C0_BASE,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_45df59e4184f4f62,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78311cbffa371883,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_12a48816da906fa3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Selberg's zeta function conjecture,
+leanstral-2603,C0_BASE,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_21516ccfc875d21f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_827a4ed5d9dfc34d,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Eberhard's theorem,Eberhard's theorem
+leanstral-2603,C0_BASE,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57e6976665f4b54c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+leanstral-2603,C1_THEOREM_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's rule
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_504590f16026ee8e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,
+leanstral-2603,C3_HYBRID_RAG,rcd2_504590f16026ee8e,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Cramer's rule,Cramer's rule
+leanstral-2603,C0_BASE,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1fed824937488500,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Kneser's theorem,
+leanstral-2603,C0_BASE,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e37a685c1f8d26fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Oppenheim conjecture,
+leanstral-2603,C0_BASE,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5b74536588dc91de,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5b74536588dc91de,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5b74536588dc91de,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cluster decomposition property,Cluster decomposition property
+leanstral-2603,C0_BASE,rcd2_d8ff045cfcb20686,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_CYLINDER_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d8ff045cfcb20686,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d8ff045cfcb20686,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Rothe–Hagen identity,Rothe–Hagen identity
+leanstral-2603,C0_BASE,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8911219443e82873,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Lorden's inequality,
+leanstral-2603,C0_BASE,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8fa39731f1229953,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a33f7a23541f91a2,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Szemerédi regularity lemma,
+leanstral-2603,C0_BASE,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8f4ac1f43ea87272,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cb917cbac3c8a01d,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Cayley–Hamilton theorem,
+leanstral-2603,C0_BASE,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a2f359f7b29417ef,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Favard's theorem,
+leanstral-2603,C0_BASE,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0260013d7872f8dd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Abel's inequality,
+leanstral-2603,C0_BASE,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ea3eea1a081ae1ab,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2dfeb6973ab8df7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6f04ad8a4fa1b45d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c9e09f800d22c5b7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39d52fd2e3c1f09f,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_PAIR_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39d52fd2e3c1f09f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Williamson theorem,Williamson theorem
+leanstral-2603,C0_BASE,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7a425253f5cee270,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e8e51414a5398874,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af11668e8febf88a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b97786a44c8dc7a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Thom's second isotopy lemma,
+leanstral-2603,C0_BASE,rcd2_5ed14c24a712c862,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5ed14c24a712c862,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_ARGMIN_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5ed14c24a712c862,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5ed14c24a712c862,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Bramble–Hilbert lemma,Bramble–Hilbert lemma
+leanstral-2603,C0_BASE,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING"", ""REMOVE_PAIR_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f5874bb9cf0f0400,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f5874bb9cf0f0400,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_INTERSECTION_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_INTERSECTION_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f37576059ed3476f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Lifting-the-exponent lemma,
+leanstral-2603,C0_BASE,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_030f2109906efc1e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Bézout's identity,
+leanstral-2603,C0_BASE,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f0ab35299e26b591,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C0_BASE,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4a3d719d57f786c7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Grönwall's inequality,
+leanstral-2603,C0_BASE,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c0d532e4ec1803f3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Gibbs' inequality,
+leanstral-2603,C0_BASE,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc2dfca8940654f4,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C0_BASE,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_844445219902925b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Fisher's inequality,
+leanstral-2603,C0_BASE,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e5312cb8830b8634,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e2a138b91cf755e9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Robbins lemma,
+leanstral-2603,C0_BASE,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d29e7e462a8ebffb,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d29e7e462a8ebffb,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Eaton's inequality
+leanstral-2603,C0_BASE,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_08a30bba0dad5ba0,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6096afefdcfde387,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_505976359610bca9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2511f84106342be0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2511f84106342be0,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2511f84106342be0,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Gradient theorem,Gradient theorem
+leanstral-2603,C0_BASE,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_79c5ad2f0be082cb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Sylvester's determinant identity,
+leanstral-2603,C0_BASE,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cf96fe2fa084a018,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_389bf01ea0c097b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_389bf01ea0c097b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_389bf01ea0c097b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_389bf01ea0c097b6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Hoeffding's lemma,
+leanstral-2603,C0_BASE,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e82b0dee459be389,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dbef72863679bbf3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Stewart–Walker lemma,
+leanstral-2603,C0_BASE,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_61533a435ccb26cc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Krener's theorem,
+leanstral-2603,C0_BASE,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_57870989e5abbfb1,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_57870989e5abbfb1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_57870989e5abbfb1,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Schuette–Nesbitt formula,Schuette–Nesbitt formula
+leanstral-2603,C0_BASE,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6fb36b09d7a23ada,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8d92482c70eb3f8f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47028f0d3e750a6c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Joubert's theorem,
+leanstral-2603,C0_BASE,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39b812435cf06b92,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Fejér's theorem,
+leanstral-2603,C0_BASE,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_36cc33f92c4fd55e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd6052f6b009b230,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_08eb8cdcdd575509,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_67e7057310b53514,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Fejér's theorem,
+leanstral-2603,C0_BASE,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39283332258c7b87,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39283332258c7b87,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Schur's lemma
+leanstral-2603,C0_BASE,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0b343c1bdc0eef30,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Itô's lemma,
+leanstral-2603,C0_BASE,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_66a18577eaaa0f28,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6fbaa769d29253a8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4c79511776b3d0ef,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b869bbd5ffbeba84,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9fee4834e9550c10,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Cauchy–Davenport theorem,
+leanstral-2603,C0_BASE,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c41b6d16829ea33f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c26615c2a81de4a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Local criterion for flatness
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c26615c2a81de4a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c26615c2a81de4a6,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_TRUTH_TABLE_ENCODING""]",[],,Local criterion for flatness
+leanstral-2603,C0_BASE,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_637da1e77239bea9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING""]",[],,Chebyshev's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_637da1e77239bea9,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_637da1e77239bea9,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_WITNESS_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",[],,Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e20f4bd490a9a088,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Lebesgue's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e20f4bd490a9a088,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e20f4bd490a9a088,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Lebesgue's lemma
+leanstral-2603,C0_BASE,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1c26b47e31d9e3a5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_72ca0ec04fcca6d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a012e57d87899ca5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_90eaa7b725d95983,negative,SCHEMA_ERROR,,1,0,0,0,0,0,0,0,,"bad_schema_version,bad_decision",[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_90eaa7b725d95983,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_24ff7d944a52613c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46719484152d8924,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46719484152d8924,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Burr–Erdős conjecture,Burr–Erdős conjecture
+leanstral-2603,C0_BASE,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_93127e2cacfde864,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e80f9685d9e7794c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c5220b6bf7a801e4,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97607a763199c977,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Girsanov theorem,
+leanstral-2603,C0_BASE,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_577800fc7ef7018b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_450209a9985dcd70,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_OPTIMIZATION_ENCODING""]",[],,Ingleton's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_450209a9985dcd70,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_450209a9985dcd70,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""DENORMALIZE_RELATION""]",[],,Ingleton's inequality
+leanstral-2603,C0_BASE,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_430e527ddd56e16e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_MONOTONE_ENCODING""]",Chevalley–Warning theorem,
+leanstral-2603,C0_BASE,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_edf15f9b602f25c5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_088bb883114129f1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_OPTIMIZATION_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_9dc666c313eea508,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_9dc666c313eea508,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING"", ""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_OPTIMIZATION_ENCODING""]",Turán–Kubilius inequality,Turán–Kubilius inequality
+leanstral-2603,C0_BASE,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1b3816d113c8d51a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Gradient theorem,
+leanstral-2603,C0_BASE,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2712299a48f1a754,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_75a760fa59a65b38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""OTHER""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_75a760fa59a65b38,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_75a760fa59a65b38,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""DENORMALIZE_RELATION""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Cantelli's inequality,Cantelli's inequality
+leanstral-2603,C0_BASE,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_058f00032d0afb16,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Uniform limit theorem,
+leanstral-2603,C0_BASE,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",n! conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4bdd0d1dad6d5863,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",n! conjecture,n! conjecture
+leanstral-2603,C0_BASE,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eac73d5dfdebd7af,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eac73d5dfdebd7af,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""DENORMALIZE_RELATION""]",[],,Multidimensional Chebyshev's inequality
+leanstral-2603,C0_BASE,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5c340196abb55fa9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5c340196abb55fa9,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cohn's theorem,Cohn's theorem
+leanstral-2603,C0_BASE,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_04cf6fc8e142fa2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Borsuk–Ulam theorem,
+leanstral-2603,C0_BASE,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1acef4f209cbef98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_56e6cdff355af28a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Ahlswede–Khachatrian theorem,
+leanstral-2603,C0_BASE,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6f4649aa2503e351,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Rolle's theorem,
+leanstral-2603,C0_BASE,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7edaca32bfb72264,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_921c824e4a24401f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f6f1fee2f08c5cd5,negative,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]",[],,Carleman's condition
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f6f1fee2f08c5cd5,negative,OK,ACCEPT,0,0,0,0,0,1,0,0,,,"[""REMOVE_CHARACTERIZATION_ENCODING"", ""REMOVE_CHARACTERIZATION_ENCODING""]",[],,Carleman's condition
+leanstral-2603,C0_BASE,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_41c7950cd2c472d8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ba1e7976f0f3073b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ba1e7976f0f3073b,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Whitehead's lemma,Whitehead's lemma
+leanstral-2603,C0_BASE,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b355a74166fe4950,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b355a74166fe4950,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_TRUTH_TABLE_ENCODING""]",Goldbach–Euler theorem,Goldbach–Euler theorem
+leanstral-2603,C0_BASE,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78aedfbcb6b827bf,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6492d33f38606824,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ab93f78ae0f37c73,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Pumping lemma for regular languages,
+leanstral-2603,C0_BASE,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_39510de5f32a1d11,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,Loomis–Whitney inequality
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_39510de5f32a1d11,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Loomis–Whitney inequality,
+leanstral-2603,C0_BASE,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f92579b7ae524d78,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cbd24badc8d08c55,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6c40bb4c1a9f1184,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_PAIR_ENCODING""]",Brauer's height zero conjecture,Brauer's height zero conjecture
+leanstral-2603,C0_BASE,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8bbaf18b24b401fb,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Grosswald–Schnitzer theorem,
+leanstral-2603,C0_BASE,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_addc1b82bbd94b75,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc2066a9e9952ff1,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3eeaa8585f7e7105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_1a24d95e57d454c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_1a24d95e57d454c3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_1a24d95e57d454c3,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Tucker's lemma,Tucker's lemma
+leanstral-2603,C0_BASE,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7c447ef173d8ff19,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eb05c2dc0553ea57,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_97f841e7c6e91b9a,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5638e15c37bc243e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5c0070a906997f7f,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5c0070a906997f7f,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_ARGMIN_ENCODING""]","[""REMOVE_CHARACTERIZATION_ENCODING""]",Erdős–Ko–Rado theorem,Erdős–Ko–Rado theorem
+leanstral-2603,C0_BASE,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_46cf7c2061e979cd,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_46cf7c2061e979cd,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""REMOVE_CYLINDER_ENCODING""]",Piling-up lemma,Piling-up lemma
+leanstral-2603,C0_BASE,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_197d29ac1d856e98,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_695621a00998c142,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_976bf589ef5ed4ec,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b11b054e51414f55,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_QUANTIFIER_ENCODING""]",Bramble–Hilbert lemma,
+leanstral-2603,C0_BASE,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_6168ecbd91f0f1fc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_DISTANCE_ENCODING"", ""DENORMALIZE_RELATION""]",Chevalley–Warning theorem,
+leanstral-2603,C0_BASE,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_dd19677f60feb2b8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47ebd2306dc1ba08,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_b248c88c5cb80471,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_df7c1f727954f4f9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_INTERSECTION_ENCODING""]",Slepian's lemma,
+leanstral-2603,C0_BASE,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_eed330b9e7e150e8,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_25b6f27627b59b8b,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2aa899f6f232d1f6,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Adiabatic theorem,
+leanstral-2603,C0_BASE,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d510140f6050271d,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4a3defaaa91c5d3f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_a28f16dde5ea01ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_a28f16dde5ea01ac,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_a28f16dde5ea01ac,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING"", ""REMOVE_ARGMIN_ENCODING"", ""EXPAND_ABBREVIATIONS""]","[""REMOVE_FIBER_ENCODING""]",Tutte–Berge formula,Tutte–Berge formula
+leanstral-2603,C0_BASE,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_02cb61a7b2d6be95,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_3fc0fa5bcec0d44a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_3fc0fa5bcec0d44a,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_3fc0fa5bcec0d44a,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Dyson conjecture,Dyson conjecture
+leanstral-2603,C0_BASE,rcd2_e3e8d953eb986866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e3e8d953eb986866,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Summation by parts,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e3e8d953eb986866,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_WITNESS_ENCODING""]","[""REMOVE_WITNESS_ENCODING""]",Summation by parts,Summation by parts
+leanstral-2603,C0_BASE,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_d11873bf061b0050,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ef041c4ee5b66a6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Blow-up lemma,
+leanstral-2603,C0_BASE,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_2f5248f6a6c67f47,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ec763f912a6588b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Van den Berg–Kesten inequality,
+leanstral-2603,C0_BASE,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e18e9d5f5232faea,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_78a9be015a7def2b,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_78a9be015a7def2b,positive,OK,ACCEPT,0,1,1,1,1,0,0,0,,,"[""REMOVE_DISTANCE_ENCODING""]","[""REMOVE_DISTANCE_ENCODING""]",Optical equivalence theorem,Optical equivalence theorem
+leanstral-2603,C0_BASE,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fc82e0aa2f1eb398,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CYLINDER_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C0_BASE,rcd2_4571d7b8668a7bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_TRUTH_TABLE_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4571d7b8668a7bcc,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4571d7b8668a7bcc,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_CONTAINMENT_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_TRUTH_TABLE_ENCODING""]",Newton's identities,Newton's identities
+leanstral-2603,C0_BASE,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c116ba2177702021,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C0_BASE,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5beaf2b2455ca557,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CONTAINMENT_ENCODING""]",Brun–Titchmarsh theorem,
+leanstral-2603,C0_BASE,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_499576d936d45b2e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING"", ""DENORMALIZE_RELATION""]",Erdős–Anning theorem,
+leanstral-2603,C0_BASE,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_60ad6aa5a8354011,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_47a59571487def7c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e48c0330068556b1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Catalan's conjecture,
+leanstral-2603,C0_BASE,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_4f03587b8b266105,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_af28ee9857cf2819,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_ARGMIN_ENCODING""]",Ajtai–Komlós–Tusnády theorem,
+leanstral-2603,C0_BASE,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_74bd43ca5b47a3b9,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_SET_MEMBERSHIP_ENCODING""]",Primitive element theorem,
+leanstral-2603,C0_BASE,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_8ffbea40a32a672e,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Coupon collector's problem,
+leanstral-2603,C0_BASE,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_71da5cf19875ae02,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_c4d43ed973b4e1d7,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_07666dd646689509,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_07666dd646689509,positive,OK,ACCEPT,0,1,0,0,1,0,0,0,,,"[""REMOVE_SET_MEMBERSHIP_ENCODING""]","[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Perron–Frobenius theorem,Perron–Frobenius theorem
+leanstral-2603,C0_BASE,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ef1fb1028768aa7,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_SET_MEMBERSHIP_ENCODING""]",Cantor's intersection theorem,
+leanstral-2603,C0_BASE,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_ec003c30ecfe7d6f,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C1_THEOREM_RAG,rcd2_e81b7cf12baffec3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_e81b7cf12baffec3,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,
+leanstral-2603,C3_HYBRID_RAG,rcd2_e81b7cf12baffec3,positive,SCHEMA_ERROR,ACCEPT,1,0,0,0,0,0,0,0,,operation_step_length_mismatch,"[""REMOVE_QUANTIFIER_ENCODING""]","[""REMOVE_FIBER_ENCODING""]",Rouché–Capelli theorem,Rouché–Capelli theorem
+leanstral-2603,C0_BASE,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f04a2c4233fe0178,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_CHARACTERIZATION_ENCODING""]",Lovász local lemma,
+leanstral-2603,C0_BASE,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+leanstral-2603,C1_THEOREM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+leanstral-2603,C3_HYBRID_RAG,rcd2_7ffc8590c4507d6a,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""EXPAND_ABBREVIATIONS"", ""REMOVE_CONTAINMENT_ENCODING""]",Perron's formula,
+leanstral-2603,C0_BASE,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_fd42dbb90eb5039c,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_DISTANCE_ENCODING""]",Rising sun lemma,
+leanstral-2603,C0_BASE,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+leanstral-2603,C1_THEOREM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+leanstral-2603,C3_HYBRID_RAG,rcd2_cd08c2c1bc4571d1,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_TRUTH_TABLE_ENCODING""]",Bézout's identity,
+leanstral-2603,C0_BASE,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C1_THEOREM_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C3_HYBRID_RAG,rcd2_5baef606e056d476,positive,OK,REJECT,0,0,0,0,0,0,0,0,,,[],"[""REMOVE_WITNESS_ENCODING""]",Noether normalization lemma,
+leanstral-2603,C0_BASE,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_f45e8a6db8f00a3e,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_44203facad64aa8c,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C3_HYBRID_RAG,rcd2_0c3e2f5d2424a7a6,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C0_BASE,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C1_THEOREM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
+leanstral-2603,C2_TRANSFORM_RAG,rcd2_91a37270da1b68ed,negative,OK,REJECT,0,0,0,0,0,0,1,0,,,[],[],,
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