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Datasets:
HyperCactus0
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LeanTransitionCorpus

Tasks:
Text Generation
Tags:
lean
lean4
automated-theorem-proving
theorem-proving
formal-mathematics
mathematics
License:
Dataset card Data Studio Files
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HyperCactus0 commited on
Commit
2814e7c
·
verified ·
1 Parent(s): 101b463

Record 2 verified HPC batch manifests

Browse files
Files changed (2) hide show
  1. manifests/batches/deepseek/000063.json +199 -0
  2. manifests/batches/deepseek/000064.json +165 -0
manifests/batches/deepseek/000063.json ADDED
@@ -0,0 +1,199 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "deepseek/000063",
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+ "batch_fingerprint": "30e18c21c1096f210496086b2daa4945513e486f36b4237895519869c0fc5ed7",
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+ "evidence": {
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+ "batch_fingerprint": "30e18c21c1096f210496086b2daa4945513e486f36b4237895519869c0fc5ed7",
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+ "contamination_matches": [],
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+ "failures": [
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+ {
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+ "id": "thm_3181",
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+ "index": 3162,
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+ "reason": "missing_trace",
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+ "selection": {
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+ "file_path": "Full/Proof_003162.lean",
15
+ "id": "thm_3181",
16
+ "index": 3162,
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+ "metadata": {
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+ "declaration_kind": "theorem",
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+ "source_dataset": "deepseek",
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+ "theorem_name": "thm_3181",
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+ "theorem_ordinal": 0
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+ },
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+ "source_sha256": "13e140f8844207ffe9ddd721acffc713173be487d3549c72f09dd77f10bdfd77"
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+ },
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+ "source_file": "Full/Proof_003162.lean"
26
+ },
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+ {
28
+ "error": "final replayable tactic does not close all goals",
29
+ "id": "thm_3206",
30
+ "index": 3187,
31
+ "reason": "import_failure",
32
+ "selection": {
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+ "file_path": "Full/Proof_003187.lean",
34
+ "id": "thm_3206",
35
+ "index": 3187,
36
+ "metadata": {
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+ "declaration_kind": "theorem",
38
+ "source_dataset": "deepseek",
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+ "theorem_name": "thm_3206",
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+ "theorem_ordinal": 0
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+ },
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+ "source_sha256": "4d75b84e0417577f820ef57721786dfaf7f8474fcf938e79d44ced45d53e3d5b"
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+ },
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+ "source_file": "Full/Proof_003187.lean"
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+ },
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+ {
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+ "error": "final replayable tactic does not close all goals",
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+ "id": "thm_3215",
49
+ "index": 3196,
50
+ "reason": "import_failure",
51
+ "selection": {
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+ "file_path": "Full/Proof_003196.lean",
53
+ "id": "thm_3215",
54
+ "index": 3196,
55
+ "metadata": {
56
+ "declaration_kind": "theorem",
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+ "source_dataset": "deepseek",
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+ "theorem_name": "thm_3215",
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+ "theorem_ordinal": 0
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+ },
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+ "source_sha256": "d23d5590de154252b3d23e1f8fadadb3502a62fb8ae003dadbdd38af91a42d70"
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+ },
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+ "source_file": "Full/Proof_003196.lean"
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+ }
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+ ],
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+ "input_proofs": 50,
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+ "input_units": 50,
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+ "proofs": 47,
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+ "published_proofs": 47,
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+ "published_transitions": 118,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 118,
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+ "validation_failures": [],
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+ "validation_rejected_proofs": 0,
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+ "zero_transition_proofs": 0
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+ },
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+ "shards": [
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+ {
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+ "path": "data/train/deepseek-000063-0000-64dde191a28b9c92.parquet",
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+ "sha256": "64dde191a28b9c925b0428dc30412acf96f15009465e1759e24181d14d5194e8",
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+ "bytes": 367420,
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+ "rows": 99,
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ },
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+ {
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+ "path": "data/dev/deepseek-000063-0000-796a406b1b89ef2e.parquet",
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+ "sha256": "796a406b1b89ef2ef020690f2de347a908dba5a99e288d066b0660d17d9d3358",
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+ "bytes": 57423,
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+ "rows": 12,
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ },
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+ {
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+ "path": "data/internal_test/deepseek-000063-0000-bd076dbaecdd6628.parquet",
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+ "sha256": "bd076dbaecdd6628e8fc2f402d6b9a2c53bc1d2cd573097cbc6598456e23d48f",
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+ "bytes": 47507,
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+ "rows": 7,
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ }
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+ ],
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+ "proof_ids": [
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+ "deepseek:thm_3169",
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+ "deepseek:thm_3170",
104
+ "deepseek:thm_3171",
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+ "deepseek:thm_3172",
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+ "deepseek:thm_3173",
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+ "deepseek:thm_3174",
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+ "deepseek:thm_3175",
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+ "deepseek:thm_3176",
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+ "deepseek:thm_3177",
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+ "deepseek:thm_3178",
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+ "deepseek:thm_3179",
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+ "deepseek:thm_3180",
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+ "deepseek:thm_3182",
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+ "deepseek:thm_3183",
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+ "deepseek:thm_3184",
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+ "deepseek:thm_3185",
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+ "deepseek:thm_3186",
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+ "deepseek:thm_3187",
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+ "deepseek:thm_3188",
121
+ "deepseek:thm_3189",
122
+ "deepseek:thm_3190",
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+ "deepseek:thm_3191",
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+ "deepseek:thm_3192",
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+ "deepseek:thm_3193",
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+ "deepseek:thm_3194",
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+ "deepseek:thm_3195",
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+ "deepseek:thm_3196",
129
+ "deepseek:thm_3197",
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+ "deepseek:thm_3198",
131
+ "deepseek:thm_3199",
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+ "deepseek:thm_3200",
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+ "deepseek:thm_3201",
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+ "deepseek:thm_3202",
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+ "deepseek:thm_3203",
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+ "deepseek:thm_3204",
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+ "deepseek:thm_3205",
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+ "deepseek:thm_3207",
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+ "deepseek:thm_3208",
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+ "deepseek:thm_3209",
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+ "deepseek:thm_3210",
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+ "deepseek:thm_3211",
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+ "deepseek:thm_3212",
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+ "deepseek:thm_3213",
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+ "deepseek:thm_3214",
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+ "deepseek:thm_3216",
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+ "deepseek:thm_3217",
148
+ "deepseek:thm_3218"
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+ ],
150
+ "proof_keys": [
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003150.lean\",\"658697848c40cba436015593c5376ffe438bed573b3a0b6901234746d8294644\",0,\"thm_3169\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003151.lean\",\"5540502f68e7dcb4bf0dd7b259025563b1333d38cb642618f81beca8710d974f\",0,\"thm_3170\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003152.lean\",\"47021a8d8266a4a78acff7b90759142c82ffedfeb0f7377144016f0913c1c86c\",0,\"thm_3171\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003153.lean\",\"2edfd8fa46511175738a1443b1d7b58bf6858717d2c13511ecb73896b1490d1a\",0,\"thm_3172\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003154.lean\",\"23711c7bc3aad045fd8939fa3d1cbeb49119f035b60392ef08ab335cbf26aba3\",0,\"thm_3173\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003155.lean\",\"abeca0e6abeb9232a8eb184fde75697f616decc4af4b40d9223518d492a2c534\",0,\"thm_3174\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003156.lean\",\"19457d8da79330ab257454753d08e88ef7fea75862d5b6dd40c2eded173bf4e0\",0,\"thm_3175\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003157.lean\",\"103ae29aec7fd3e785918a6a76eb79950aea4cb44e95e42c4d1ab4eb28fac184\",0,\"thm_3176\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003158.lean\",\"c42fe83b2359496ec3c5846f29d88639e51c98ad6f0108a27147844f35ef1fcb\",0,\"thm_3177\"]",
160
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003159.lean\",\"fcb363324f57fef02cb04806661872c0c978d4980150149cfd9c528b88f6379b\",0,\"thm_3178\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003160.lean\",\"faa19d4851679f3debea2bc9f80356a488867888f3e32f8b766c4f487fde6d61\",0,\"thm_3179\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003161.lean\",\"679249628b2ae08d90b4b0a89af3416656893c678fbf441f13f369745b474a4d\",0,\"thm_3180\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003163.lean\",\"451ff9e6c767a289266ea2fd0c5901adac016a6b0b034f0bcfffa1285ec0d2f2\",0,\"thm_3182\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003164.lean\",\"99425f702e4928a9108f6fbffaa36e1b1ec1d531d36de1479d39cff77681e48f\",0,\"thm_3183\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003165.lean\",\"726505cf097387e4e73830e57848cc670daf14d902967147c186a9d12cdaab31\",0,\"thm_3184\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003166.lean\",\"f29f1307cf70439a03f0ebecb02e6f12d83a95c2765fc289f8ec81b011edbf92\",0,\"thm_3185\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003167.lean\",\"8b2bcb315d1d2556713f230d6f79e7eb6f45b6e9bf6b904c978971e42d031cd4\",0,\"thm_3186\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003169.lean\",\"3267fc018fbbf8bb14e88b2ab45b86a723d41b8dfae96ec4de1ce78a1132168f\",0,\"thm_3188\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003171.lean\",\"2738a51d1dfdcda99f6ff4b205bdc66ab7c5419bf6464fdb9560fcc3101a1129\",0,\"thm_3190\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003172.lean\",\"f0afd323a96b33ac3726dff108c4f8f5332db82d73be3996ae702ea94ffd0496\",0,\"thm_3191\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003173.lean\",\"6cd7107f97444adbc4796a6149eadc22784fc4ff76ec694dc0bd62f262dc205c\",0,\"thm_3192\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003174.lean\",\"2d5d9ffb66a779de6efc29e87b1e6b0a45a4e8da70c1f67fd89f485178fe8c6e\",0,\"thm_3193\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003175.lean\",\"4609b9321937220f1174fa55a51af7bc77d4520fcfcb39ed691fd4577ae78b13\",0,\"thm_3194\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003176.lean\",\"64ae81c340d761f44a5604a70b8127e0257f09cc8a754e90797e22514a668878\",0,\"thm_3195\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003177.lean\",\"803be285d3b3552aca6bcaf6f25b4126da583fe78616da1a21f63ee8365d0e91\",0,\"thm_3196\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003178.lean\",\"1e482a2975cc8af60869ba52d3429990f0c4b22f874013024d80b3c13a14c355\",0,\"thm_3197\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003179.lean\",\"289248d53f77805431f9aceda9fff9f637f097f814399ff017ebb24aac5165e8\",0,\"thm_3198\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003180.lean\",\"bffef1866b60bc3b8fdc3db28bce690fbed80d8a713d02a22b6d36cac2f66762\",0,\"thm_3199\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003181.lean\",\"e6287362bca4cb041303cfe59a97e780bbe8b117cb65213205515ae11f866f8b\",0,\"thm_3200\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003182.lean\",\"8115d6dd2aa7ed3241cc67c1df7263e8f23efa646e680c6a92af1d061ab9ca86\",0,\"thm_3201\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003183.lean\",\"26c17eff87685b2dbe73e1c29e322dbc8caa132c306862fece3157946e2000b9\",0,\"thm_3202\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003184.lean\",\"3108f9113d7d0ebb481592a602603eb92cb330e585cab891e2dd045de9d15f53\",0,\"thm_3203\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003185.lean\",\"0e8eae29c7e597af27d0edbb725649985ad90c40c02781a3575b0a0b69d89299\",0,\"thm_3204\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003186.lean\",\"e112ad3b1499ef6ec7f14c361a2d6b20d7d77b4776749853d2e0f0449efda917\",0,\"thm_3205\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003188.lean\",\"2337f6aaeac2d1c11a423420e0997b096d1fc519c7ccf64dc2cbc242141ca631\",0,\"thm_3207\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003189.lean\",\"51962af9ac148b76bf9ce692fe6baf36fa8aec8536d19d98ed9eb13a55a3ad1e\",0,\"thm_3208\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003190.lean\",\"df2fd09d709ee870c463ca3f45a8d91b722375ef3bdfa77ab9581acc263392ec\",0,\"thm_3209\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003191.lean\",\"928185cc2f0f32e69ccd3ee929e01f8a12115d3ce9cdcf0e756ded8b0f646de2\",0,\"thm_3210\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003192.lean\",\"810dd6f3c43f3d810ffe8556d615477082471e94cbdb0f02939a2aa6e614e39b\",0,\"thm_3211\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003193.lean\",\"3ec0dd70c03f7e03aca129dd189ae90ac2da451078ad887c208eebff2f80d93f\",0,\"thm_3212\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003194.lean\",\"3115167d062b50e5e5dd507b2f08bb29ee4ace1d22e3d11d2608b351111ff1f0\",0,\"thm_3213\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003195.lean\",\"abf6e7e256c6a8aac80cbd38b59e50e11b08b98441f66e2e59af5e9e4217d78e\",0,\"thm_3214\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003197.lean\",\"88fa9207510af537d82653cf6ab7afb2b832c8842bdccf8cd962b334d80976d4\",0,\"thm_3216\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003198.lean\",\"84e0120685831367178c997e2953c3fe7e8fdb6a700b98e33cc4f0ef790e4463\",0,\"thm_3217\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003199.lean\",\"90b0b122a62cc09921a6bf11ae3af817b4b9813f7d94f1117a9a9611293d2219\",0,\"thm_3218\"]"
198
+ ]
199
+ }
manifests/batches/deepseek/000064.json ADDED
@@ -0,0 +1,165 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "deepseek/000064",
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+ "batch_fingerprint": "72c6ce1dfadafc636ec0c52d92679be5d2e890ae9d1aec915425dd12e8af10ca",
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+ "evidence": {
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+ "batch_fingerprint": "72c6ce1dfadafc636ec0c52d92679be5d2e890ae9d1aec915425dd12e8af10ca",
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+ "contamination_matches": [],
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+ "failures": [
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+ {
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+ "id": "thm_3268",
11
+ "index": 3248,
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+ "reason": "missing_trace",
13
+ "selection": {
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+ "file_path": "Full/Proof_003248.lean",
15
+ "id": "thm_3268",
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+ "index": 3248,
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+ "metadata": {
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+ "declaration_kind": "theorem",
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+ "source_dataset": "deepseek",
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+ "theorem_name": "thm_3268",
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+ "theorem_ordinal": 0
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+ },
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+ "source_sha256": "87a8ae5e7f44cc0dd14e978f8f7b67a3582e293837f16092d2b0885590445c4a"
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+ },
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+ "source_file": "Full/Proof_003248.lean"
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+ }
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+ ],
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+ "input_proofs": 50,
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+ "input_units": 50,
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+ "proofs": 49,
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+ "published_proofs": 49,
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+ "published_transitions": 114,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 114,
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+ "validation_failures": [],
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+ "validation_rejected_proofs": 0,
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+ "zero_transition_proofs": 0
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+ },
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+ "shards": [
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+ {
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+ "path": "data/train/deepseek-000064-0000-9532c750c3fb0a6e.parquet",
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+ "sha256": "9532c750c3fb0a6e1f3a812fe5b6f837a61a3fa23a398388c39a08dace12221c",
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ "path": "data/dev/deepseek-000064-0000-11260e0570afed70.parquet",
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+ "sha256": "11260e0570afed709bbfdd357e03a4820735e520ce87f05d34614570c40db2a5",
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+ "bytes": 36551,
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ {
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+ "path": "data/internal_test/deepseek-000064-0000-18706a7c0764095d.parquet",
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+ "sha256": "18706a7c0764095d29aa585b61087fded28f82d730de4a2ff77d95ee99597255",
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+ "rows": 15,
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+ "revision": "101b4638ab24613d1ab443f6225778a432c215f3"
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+ }
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+ ],
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+ "proof_ids": [
64
+ "deepseek:thm_3219",
65
+ "deepseek:thm_3220",
66
+ "deepseek:thm_3221",
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+ "deepseek:thm_3222",
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+ "deepseek:thm_3223",
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+ "deepseek:thm_3225",
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+ "deepseek:thm_3226",
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+ "deepseek:thm_3227",
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+ "deepseek:thm_3228",
73
+ "deepseek:thm_3229",
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+ "deepseek:thm_3230",
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+ "deepseek:thm_3231",
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+ "deepseek:thm_3232",
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+ "deepseek:thm_3233",
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+ "deepseek:thm_3234",
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+ "deepseek:thm_3235",
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+ "deepseek:thm_3236",
81
+ "deepseek:thm_3237",
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+ "deepseek:thm_3238",
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+ "deepseek:thm_3239",
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+ "deepseek:thm_3240",
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+ "deepseek:thm_3241",
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+ "deepseek:thm_3242",
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+ "deepseek:thm_3243",
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+ "deepseek:thm_3244",
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+ "deepseek:thm_3245",
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+ "deepseek:thm_3246",
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+ "deepseek:thm_3247",
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+ "deepseek:thm_3248",
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+ "deepseek:thm_3249",
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+ "deepseek:thm_3250",
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+ "deepseek:thm_3251",
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+ "deepseek:thm_3252",
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+ "deepseek:thm_3253",
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+ "deepseek:thm_3254",
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+ "deepseek:thm_3255",
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+ "deepseek:thm_3256",
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+ "deepseek:thm_3257",
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+ "deepseek:thm_3258",
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+ "deepseek:thm_3259",
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+ "deepseek:thm_3260",
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+ "deepseek:thm_3261",
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+ "deepseek:thm_3262",
107
+ "deepseek:thm_3263",
108
+ "deepseek:thm_3264",
109
+ "deepseek:thm_3265",
110
+ "deepseek:thm_3266",
111
+ "deepseek:thm_3267",
112
+ "deepseek:thm_3269"
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+ ],
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+ "proof_keys": [
115
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003200.lean\",\"7ac17bfc84abdace17898b55c14d264abada588a8d6d4a39730559341ef2ac91\",0,\"thm_3219\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003201.lean\",\"6a779545e5cb1256ea604a5e3976cb185f277e9a4c2f7c5ae5facaacf6d0af26\",0,\"thm_3220\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003202.lean\",\"2f6509c4dbbac1b218d132660fdb5ae5bab82d936e34b676e7f1a37c671bcea2\",0,\"thm_3221\"]",
118
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003203.lean\",\"a8a83b3a7440c4fab59a4154b15f88491de1bf4984e0de4e6f967355303a48d4\",0,\"thm_3222\"]",
119
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003204.lean\",\"04c7f433c80b8e3dbf7ddc63d795071f848c648a7b6dddd4785f68ddb6e81cee\",0,\"thm_3223\"]",
120
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003205.lean\",\"140eb668a2d10a8415488c33b318f9e89bf35af436d3a1d3b7e36d98dbcc56f6\",0,\"thm_3225\"]",
121
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003206.lean\",\"afaf8eaa513dcab0670ecfeb8c58d105830977b900bdffab1c6880eb66139a61\",0,\"thm_3226\"]",
122
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003207.lean\",\"a45d9e4a89df27b90cbf1b4d812b35aecb8fa3733ff8f624737fe76caafbf270\",0,\"thm_3227\"]",
123
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003208.lean\",\"bddbc65810e29b0b61f75f8207577395fe3f93e0dcc2ddaab3e7616d262d1808\",0,\"thm_3228\"]",
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+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003209.lean\",\"38d6a30fb6af054199229d35ab8f21618ec1d029a1b1c7a8f05393e39a4c885e\",0,\"thm_3229\"]",
125
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003210.lean\",\"9eea96d64d602cd1da3be8739654c4bef9246c055410581e9bfca6b2ea9bb530\",0,\"thm_3230\"]",
126
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003211.lean\",\"07e1654b3e6bcd86340d3498e3f011659a5b601f0da72addd6297d8a271ec508\",0,\"thm_3231\"]",
127
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003212.lean\",\"16d4890100841efc1bfbffe72db9851ef575c5b9d4a6f417cb2f8af782510cc4\",0,\"thm_3232\"]",
128
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003213.lean\",\"9e93d6101e076f2c2aa646098e10d5f1d1ea2f46b39f2ff7c1d4d3a0f8ca6f0f\",0,\"thm_3233\"]",
129
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003214.lean\",\"520a4bc7417fa14556e82a63e79b5d1555bc1dbad8d0a810f9ddc63e55c80bca\",0,\"thm_3234\"]",
130
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003215.lean\",\"8b633e755868aecfab034095bbc693247fc0ba2ba5fddaca7441f960b99647a6\",0,\"thm_3235\"]",
131
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003216.lean\",\"9ffbc69fb79bc1723a903a33f0b12d0f997b2a0383283eb1ab3f886bedf17ed5\",0,\"thm_3236\"]",
132
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003217.lean\",\"9d60fa08a123737fcecb05e20352b86e136cfe8f2241ec70bbe20ff324399896\",0,\"thm_3237\"]",
133
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003218.lean\",\"05ecf80eef9398a798dcc541b4767393a528c3c145e7f1d5988efdd803b32471\",0,\"thm_3238\"]",
134
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003219.lean\",\"4bbd7cf7c6bfbecf7a18dbb5bedc2182498f3e90734ad8da3ce9bed443b04011\",0,\"thm_3239\"]",
135
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003220.lean\",\"c184d9e63cccc9cf83048ac140dbd073f2a9b994f09818a86ddfdb12ba91b49f\",0,\"thm_3240\"]",
136
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003221.lean\",\"ece27fca82be2c3195dfe9cea331acfa684132f9b2f68c76b2d7bf60aabb00a9\",0,\"thm_3241\"]",
137
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003222.lean\",\"41bf9e88f69cac163081752b6727d83c0dd353d5af257c408dc8e1e1c5aaf7cd\",0,\"thm_3242\"]",
138
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003223.lean\",\"857c1012ea443141e768f2dd6ea3bb425f8d3b99ad7e5a9aff3bb258138e4d82\",0,\"thm_3243\"]",
139
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003224.lean\",\"31a922df0d7c4ca91facaa64167f706adbc46b9ae0f2ece6369d36a1d42da8ea\",0,\"thm_3244\"]",
140
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003225.lean\",\"dca09cbb2cd777071c99d802ae2b16137b830d21c9174aa33993b246d0ce5b28\",0,\"thm_3245\"]",
141
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003226.lean\",\"66413a6e2b5620c1e3e0103e6fb587f32d123374c48ca27d38868ccaad57afa3\",0,\"thm_3246\"]",
142
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003227.lean\",\"aa2890289de7f221d3c305996f4aa8613d2c6c91422f412e85b977ac6af71b2c\",0,\"thm_3247\"]",
143
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003228.lean\",\"a20c306f6f82dde15290741421f91fb97ee047307c10466fa626ac976f81d1c5\",0,\"thm_3248\"]",
144
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003229.lean\",\"c4b2c2f6b237a493d5fc285077c8bc4189fc7d655a19e26a5ca7408841134aee\",0,\"thm_3249\"]",
145
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003230.lean\",\"6cacbb064975a0d1e2e3223d9778b7a476d4982cec8bcf683824663dc5dcdbef\",0,\"thm_3250\"]",
146
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003231.lean\",\"ca5d8b7904f486c81f3ddbe21ad6970e9e255b6dfbe0bd52c11484dd32637b9a\",0,\"thm_3251\"]",
147
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003232.lean\",\"984c20cc9d30e600983d5a199cf5d036e461640ecc9505bf356646967be9a6bf\",0,\"thm_3252\"]",
148
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003233.lean\",\"caf2543477fa1e0efcc9fbe0dabf97dd1248aa29715b26893618f6f6123c8e08\",0,\"thm_3253\"]",
149
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003234.lean\",\"d249438af0453ea014d17bd847a137faa66bd8668205e23e4c4a2f71e389a26b\",0,\"thm_3254\"]",
150
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003235.lean\",\"4f1448fb405c2284838c660928aa830c343ffbe0998c3b4a70ed371fa67f63ef\",0,\"thm_3255\"]",
151
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003236.lean\",\"15becf44cd76dd5d9042e5b81591a0c8a746855f4fc3cbd81110f3608cabf263\",0,\"thm_3256\"]",
152
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003237.lean\",\"0edef6a8f721241da65e0f39faa9a47be26a2fcb2aec216a3eac62ffce4ede45\",0,\"thm_3257\"]",
153
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003238.lean\",\"c97c0f624053a287e7dcc80626ae1396df621eec48f208f5e36d9d4366b5e71c\",0,\"thm_3258\"]",
154
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003239.lean\",\"59969611e3905f35467d41aa7c469d62ffcda5fc77b271eef8e892754faf4541\",0,\"thm_3259\"]",
155
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003240.lean\",\"840071337e2c9270675db7fbb131663875afb0e2c7294413f2a0aaa2e7999001\",0,\"thm_3260\"]",
156
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003241.lean\",\"78f97aadf63edc2f283a27320e81a70d026eb78a2596a2b41cbfb3b2d861427b\",0,\"thm_3261\"]",
157
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003242.lean\",\"99ddb528e4201fd68f38884544ab4422c9f6481ac920bc5219f2654ad9a95e51\",0,\"thm_3262\"]",
158
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003243.lean\",\"1c1add08374afec91d74d609f323419eaef2ce03092885da384178db03ebd1e8\",0,\"thm_3263\"]",
159
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003244.lean\",\"520ae16535c9b2f3e832a0ed9ea1073ba8bd6fda8e64e601f7e82a771283dbf3\",0,\"thm_3264\"]",
160
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003245.lean\",\"1e13f09c275593d3df5db5f5be27535051223fabccf5d130446055851e0c01d6\",0,\"thm_3265\"]",
161
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003246.lean\",\"36d3d99b9b10b76185cbaa6ba9ebd41fe7610520c2ef5df6ad6e9a6899541c3e\",0,\"thm_3266\"]",
162
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003247.lean\",\"20156ea05f1be437ac896859a8f2d3f974b745a3d9065bdad239f11e4c352e86\",0,\"thm_3267\"]",
163
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_003249.lean\",\"7088a19e506d80d0ca3ed322688b5089c5198759801e032e3fc3c26efb7b88ca\",0,\"thm_3269\"]"
164
+ ]
165
+ }