Hugging Face's logo

Datasets:
HyperCactus0
/
LeanTransitionCorpus

Tasks:
Text Generation
Tags:
lean
lean4
automated-theorem-proving
theorem-proving
formal-mathematics
mathematics
License:
Dataset card Data Studio Files
xet
 Community
1
HyperCactus0 commited on
Commit
b2babcb
·
verified ·
1 Parent(s): 39eb6bf

Record 2 verified HPC batch manifests

Browse files
Files changed (2) hide show
  1. manifests/batches/deepseek/000190.json +182 -0
  2. manifests/batches/deepseek/000193.json +165 -0
manifests/batches/deepseek/000190.json ADDED
@@ -0,0 +1,182 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "format": "leangpt-parquet-v2",
3
+ "batch": "deepseek/000190",
4
+ "batch_fingerprint": "2308eb9d5c2adeb0f8140cbca2eb2ba817fde67951d5cf068ea32f0cedb0e151",
5
+ "evidence": {
6
+ "batch_fingerprint": "2308eb9d5c2adeb0f8140cbca2eb2ba817fde67951d5cf068ea32f0cedb0e151",
7
+ "contamination_matches": [],
8
+ "failures": [
9
+ {
10
+ "id": "thm_9538",
11
+ "index": 9502,
12
+ "reason": "missing_trace",
13
+ "selection": {
14
+ "file_path": "Full/Proof_009502.lean",
15
+ "id": "thm_9538",
16
+ "index": 9502,
17
+ "metadata": {
18
+ "declaration_kind": "theorem",
19
+ "source_dataset": "deepseek",
20
+ "theorem_name": "thm_9538",
21
+ "theorem_ordinal": 0
22
+ },
23
+ "source_sha256": "30ae09db20703346a9597b72097fdc2a59559ee866c61dc55072950161c45599"
24
+ },
25
+ "source_file": "Full/Proof_009502.lean"
26
+ },
27
+ {
28
+ "error": "final replayable tactic does not close all goals",
29
+ "id": "thm_9551",
30
+ "index": 9515,
31
+ "reason": "import_failure",
32
+ "selection": {
33
+ "file_path": "Full/Proof_009515.lean",
34
+ "id": "thm_9551",
35
+ "index": 9515,
36
+ "metadata": {
37
+ "declaration_kind": "theorem",
38
+ "source_dataset": "deepseek",
39
+ "theorem_name": "thm_9551",
40
+ "theorem_ordinal": 0
41
+ },
42
+ "source_sha256": "8fdfa9fede0deca39da083aa4caf5d4c2d8e0ee9da817e48e951c66d253589f0"
43
+ },
44
+ "source_file": "Full/Proof_009515.lean"
45
+ }
46
+ ],
47
+ "input_proofs": 50,
48
+ "input_units": 50,
49
+ "proofs": 48,
50
+ "published_proofs": 48,
51
+ "published_transitions": 110,
52
+ "replay_failures": [],
53
+ "trace_mode": "individual",
54
+ "transitions": 110,
55
+ "validation_failures": [],
56
+ "validation_rejected_proofs": 0,
57
+ "zero_transition_proofs": 0
58
+ },
59
+ "shards": [
60
+ {
61
+ "path": "data/train/deepseek-000190-0000-d67231fdfd888c87.parquet",
62
+ "sha256": "d67231fdfd888c874fe2cde81cb2d9382899a4e6224dfd7ce9065e5d8c1a7b8e",
63
+ "bytes": 366924,
64
+ "rows": 104,
65
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
66
+ },
67
+ {
68
+ "path": "data/dev/deepseek-000190-0000-83779851d960182c.parquet",
69
+ "sha256": "83779851d960182cf8e77537e9a196c89a9373916642e7288afee5d4ba866df1",
70
+ "bytes": 28000,
71
+ "rows": 2,
72
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
73
+ },
74
+ {
75
+ "path": "data/internal_test/deepseek-000190-0000-1aec46b9a8627953.parquet",
76
+ "sha256": "1aec46b9a8627953d2b52c66451b23026bab4b738e55328b05491e61da2426ba",
77
+ "bytes": 44600,
78
+ "rows": 4,
79
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
80
+ }
81
+ ],
82
+ "proof_ids": [
83
+ "deepseek:thm_9536",
84
+ "deepseek:thm_9537",
85
+ "deepseek:thm_9539",
86
+ "deepseek:thm_9540",
87
+ "deepseek:thm_9541",
88
+ "deepseek:thm_9542",
89
+ "deepseek:thm_9543",
90
+ "deepseek:thm_9544",
91
+ "deepseek:thm_9545",
92
+ "deepseek:thm_9546",
93
+ "deepseek:thm_9547",
94
+ "deepseek:thm_9548",
95
+ "deepseek:thm_9549",
96
+ "deepseek:thm_9550",
97
+ "deepseek:thm_9552",
98
+ "deepseek:thm_9553",
99
+ "deepseek:thm_9554",
100
+ "deepseek:thm_9555",
101
+ "deepseek:thm_9556",
102
+ "deepseek:thm_9557",
103
+ "deepseek:thm_9558",
104
+ "deepseek:thm_9559",
105
+ "deepseek:thm_9560",
106
+ "deepseek:thm_9561",
107
+ "deepseek:thm_9562",
108
+ "deepseek:thm_9563",
109
+ "deepseek:thm_9564",
110
+ "deepseek:thm_9565",
111
+ "deepseek:thm_9566",
112
+ "deepseek:thm_9567",
113
+ "deepseek:thm_9568",
114
+ "deepseek:thm_9569",
115
+ "deepseek:thm_9570",
116
+ "deepseek:thm_9571",
117
+ "deepseek:thm_9572",
118
+ "deepseek:thm_9573",
119
+ "deepseek:thm_9574",
120
+ "deepseek:thm_9575",
121
+ "deepseek:thm_9576",
122
+ "deepseek:thm_9577",
123
+ "deepseek:thm_9578",
124
+ "deepseek:thm_9579",
125
+ "deepseek:thm_9580",
126
+ "deepseek:thm_9581",
127
+ "deepseek:thm_9582",
128
+ "deepseek:thm_9583",
129
+ "deepseek:thm_9584",
130
+ "deepseek:thm_9585"
131
+ ],
132
+ "proof_keys": [
133
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009500.lean\",\"87e0f305375e84d09e46e27ca4c1346ba34d0763d1bc5046ea95b5a9732b7b29\",0,\"thm_9536\"]",
134
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009501.lean\",\"d36b0a90879cc5ca1dc0292f03e969d4f51c2b9322d4072af1b94a0ae24f5afd\",0,\"thm_9537\"]",
135
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009503.lean\",\"c43cf3d8339e4a4dd54e57da91c541a6cdbdf5c20ce2d10c32f169a387729b74\",0,\"thm_9539\"]",
136
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009504.lean\",\"b726d76c95df25fa835adbde81e9a6090efaf2b45a24660b35070eb379f6dc35\",0,\"thm_9540\"]",
137
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009505.lean\",\"1d4f4f840ea8a1c6ac592d655261f24f198abf1a142c86ccad7116307e71ddb3\",0,\"thm_9541\"]",
138
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009506.lean\",\"d4de4f79278f8d19bdc06abdcea565c44a432a78b56e4d09e710ab889940d0cf\",0,\"thm_9542\"]",
139
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009507.lean\",\"788fe9142337fd8faecd21bd0ca9413973ff1eaf83675492ff81edd9d1784115\",0,\"thm_9543\"]",
140
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009508.lean\",\"6a1d3a9c9f0603b7e95f188304802c1169c3767f8248549a7d84674ed89881bd\",0,\"thm_9544\"]",
141
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009509.lean\",\"7d2dd4d94fc24ac71e6a90d48b1e4cafbcf25dcda6a23b357afd2e5a05a09334\",0,\"thm_9545\"]",
142
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009510.lean\",\"d7f951b6432547f394347ab57da2becf115ddeeeabffb7349d2b55893f73fdb5\",0,\"thm_9546\"]",
143
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009511.lean\",\"ad9c3579a0968d57b991332089e52de119413327c27fe95f93d1cf613ed07bd4\",0,\"thm_9547\"]",
144
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009512.lean\",\"708cb54bcaf2e3b02c55605f03c60dd6dc5b3ff47de4a1498bb8a536a730203a\",0,\"thm_9548\"]",
145
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009513.lean\",\"fe128fb1dcac46069df8a22ffab815de3f45c602c4b4441b7ca442747d619aed\",0,\"thm_9549\"]",
146
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009514.lean\",\"e00b43cf13d4efc409cc0ebb5b3d3eec2446f72ceca5b57819de08c600af9a45\",0,\"thm_9550\"]",
147
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009516.lean\",\"c3c288f7815fc903f9209d3edbbec2713df60e03947ea748628c62c4be22ba0f\",0,\"thm_9552\"]",
148
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009517.lean\",\"1803456e7039c2b3ee1257f97315aa9c2ff9d99393571d9558327830e6b9df29\",0,\"thm_9553\"]",
149
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009518.lean\",\"0f70aa595456e74bc6198520ad8ce32697ec8e1d41bf06f62f0431467bef6d8c\",0,\"thm_9554\"]",
150
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009519.lean\",\"98e106dae9d522b2a5068897c1bc80ecc8e127385db98da7ba1a8f1ed6b2ae29\",0,\"thm_9555\"]",
151
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009520.lean\",\"0bb18c21d8010c7c51b7a98ab5884a37d91fe62fe4e72015464b66ad009a897b\",0,\"thm_9556\"]",
152
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009521.lean\",\"1bbe7799c51885784eaff150b06a5fb5c32af9e0a426a0b6b298d2fa77284397\",0,\"thm_9557\"]",
153
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009522.lean\",\"747951ca85f597d26ead04db3ee429854fa30bc0c7b2db8db4407f38f834f6c7\",0,\"thm_9558\"]",
154
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009523.lean\",\"5f7dc16fea42f658bae65bfd025acdb59b2be480ba7adc3fa28b1098d30bcf49\",0,\"thm_9559\"]",
155
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009524.lean\",\"46096b168f80be3cefd06b734567e60e18b856d6ff08c7c5de38040afa53f815\",0,\"thm_9560\"]",
156
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009525.lean\",\"f403252abb621988956dc388ee701c1ce47109ee6e8d12a78540ce91604b69da\",0,\"thm_9561\"]",
157
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009526.lean\",\"cfc5ff09118646dd88bc415d046f2bfe7ffb2a4ec24e602977833edfbba18780\",0,\"thm_9562\"]",
158
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009527.lean\",\"e513f67ecb3eeec4c44acc2a4d156e432a0dda8794755c7052c6d442abba7419\",0,\"thm_9563\"]",
159
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009528.lean\",\"03d9ae47d99de427fd95b917c595d4b5d5df1b3290f1b367680fae245bf164d5\",0,\"thm_9564\"]",
160
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009529.lean\",\"83265627adda65324d475a62b4f8bf228bf99171b686a92cfed6aca92724cc0d\",0,\"thm_9565\"]",
161
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009530.lean\",\"62f9b27152afa5b8f9c1a93735d515cd9e937fa0d3f21baba75b471ce436231e\",0,\"thm_9566\"]",
162
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009531.lean\",\"ab570dddadb4ba50481b8f74f7ffdcc631b8a1f02e27f333825815c22feb6bf4\",0,\"thm_9567\"]",
163
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009532.lean\",\"c924f45bda01e2fc82ace87eca38e8b57483499f298c06851e9b088aa9b63aa2\",0,\"thm_9568\"]",
164
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009533.lean\",\"1d202deb06706559b5a21f4ad74ee916902a4753a8267c78515227278cab6a2e\",0,\"thm_9569\"]",
165
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009534.lean\",\"dc5a58855a9f1ea52ebf855d46200c0c514c77e3a767981ecb44682e35445d0b\",0,\"thm_9570\"]",
166
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009535.lean\",\"965ae50f1b23a422b94f304aab6e53bcc98b73be6253f7b366be5abdeb55c266\",0,\"thm_9571\"]",
167
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009536.lean\",\"8db763fadeaf8bf13fb9b7fb797f3337561e835e327e871bf7e76b8ca5d2582e\",0,\"thm_9572\"]",
168
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009537.lean\",\"3c28f704cc6572a0c3732551d50b53063ab78fdf4d6b9069b3ffc4450f8733c1\",0,\"thm_9573\"]",
169
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009538.lean\",\"0249c0651cc62fa3563ad9f19f22540d7a6de33b1b3a05436c47a822c447387e\",0,\"thm_9574\"]",
170
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009539.lean\",\"a417ba749fc00eed2570427b98873985ed73825710a5d8590da5eee4c63aedb2\",0,\"thm_9575\"]",
171
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009540.lean\",\"059405063fc790d76a0959e9b393cb28283494afe9ccb115b262f07151fc241c\",0,\"thm_9576\"]",
172
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009541.lean\",\"7c76cb8f8e34e9a17fc888213c40e012e80c36e38323c98d38f999c01d468453\",0,\"thm_9577\"]",
173
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009542.lean\",\"69522624311eddd168cbee42a023d146c4f37774ac74a5f52d86298ab1ab02f3\",0,\"thm_9578\"]",
174
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009543.lean\",\"958029eb649ccaa91dd6557cf30003fdb6248780740af5f9a9b70cea5dc3feaa\",0,\"thm_9579\"]",
175
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009544.lean\",\"ca12d96fde1b3c6239fd03db24885cd4ff65f90d912be7fb2fdcb7262a20ebf0\",0,\"thm_9580\"]",
176
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009545.lean\",\"a61eaadaafc636bff5a98f8c2f01b099be440ef5e6eff1d39eb4b7b4cfe0c294\",0,\"thm_9581\"]",
177
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009546.lean\",\"0725b1292f1f9d2424704953426ff43cfd325a60121517063fb0d5e264db37cf\",0,\"thm_9582\"]",
178
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009547.lean\",\"cefb22b1d06301da680eaf7a92831a8b8edc22b3f02530453ec9489c824666ec\",0,\"thm_9583\"]",
179
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009548.lean\",\"e21b8da4eee5a820100e7f530fa0f6266ab16c64271b282dbb913531e3183d22\",0,\"thm_9584\"]",
180
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009549.lean\",\"e4921707fc52558df3de3fe33a0af1b2304b05ab59a8b2f4ab736acb4b8d7e33\",0,\"thm_9585\"]"
181
+ ]
182
+ }
manifests/batches/deepseek/000193.json ADDED
@@ -0,0 +1,165 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "format": "leangpt-parquet-v2",
3
+ "batch": "deepseek/000193",
4
+ "batch_fingerprint": "622f46d9854098b5eb3ee05b462ef54ba4bc1f11da47d8472337bc29b6b76850",
5
+ "evidence": {
6
+ "batch_fingerprint": "622f46d9854098b5eb3ee05b462ef54ba4bc1f11da47d8472337bc29b6b76850",
7
+ "contamination_matches": [],
8
+ "failures": [
9
+ {
10
+ "id": "thm_9733",
11
+ "index": 9696,
12
+ "reason": "missing_trace",
13
+ "selection": {
14
+ "file_path": "Full/Proof_009696.lean",
15
+ "id": "thm_9733",
16
+ "index": 9696,
17
+ "metadata": {
18
+ "declaration_kind": "theorem",
19
+ "source_dataset": "deepseek",
20
+ "theorem_name": "thm_9733",
21
+ "theorem_ordinal": 0
22
+ },
23
+ "source_sha256": "ec7f4c14d0d62ffb36fb533f58517fa2fc8952e2164030a52793be4e8ab99bc6"
24
+ },
25
+ "source_file": "Full/Proof_009696.lean"
26
+ }
27
+ ],
28
+ "input_proofs": 50,
29
+ "input_units": 50,
30
+ "proofs": 49,
31
+ "published_proofs": 49,
32
+ "published_transitions": 113,
33
+ "replay_failures": [],
34
+ "trace_mode": "individual",
35
+ "transitions": 113,
36
+ "validation_failures": [],
37
+ "validation_rejected_proofs": 0,
38
+ "zero_transition_proofs": 0
39
+ },
40
+ "shards": [
41
+ {
42
+ "path": "data/train/deepseek-000193-0000-c1ddf80dc2a423ce.parquet",
43
+ "sha256": "c1ddf80dc2a423ce8000e75f9cfcfcc93186a08b344a140b65b758a2d3613f73",
44
+ "bytes": 342098,
45
+ "rows": 102,
46
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
47
+ },
48
+ {
49
+ "path": "data/dev/deepseek-000193-0000-980612a695e002bb.parquet",
50
+ "sha256": "980612a695e002bb745c2e0a3b5f2eb5f978dbfe4fb5eb67ae51dd3c9661b844",
51
+ "bytes": 50275,
52
+ "rows": 10,
53
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
54
+ },
55
+ {
56
+ "path": "data/internal_test/deepseek-000193-0000-c55766368498af3c.parquet",
57
+ "sha256": "c55766368498af3c3098c8e40fac143ff6604e4b6bcbcce5f9b768b7a5407890",
58
+ "bytes": 35702,
59
+ "rows": 1,
60
+ "revision": "39eb6bf201dfe6d7b5e526d6bc21d44b9ef1bfe4"
61
+ }
62
+ ],
63
+ "proof_ids": [
64
+ "deepseek:thm_9687",
65
+ "deepseek:thm_9688",
66
+ "deepseek:thm_9689",
67
+ "deepseek:thm_9690",
68
+ "deepseek:thm_9691",
69
+ "deepseek:thm_9692",
70
+ "deepseek:thm_9693",
71
+ "deepseek:thm_9694",
72
+ "deepseek:thm_9695",
73
+ "deepseek:thm_9696",
74
+ "deepseek:thm_9697",
75
+ "deepseek:thm_9698",
76
+ "deepseek:thm_9699",
77
+ "deepseek:thm_9700",
78
+ "deepseek:thm_9701",
79
+ "deepseek:thm_9702",
80
+ "deepseek:thm_9703",
81
+ "deepseek:thm_9704",
82
+ "deepseek:thm_9705",
83
+ "deepseek:thm_9706",
84
+ "deepseek:thm_9707",
85
+ "deepseek:thm_9708",
86
+ "deepseek:thm_9709",
87
+ "deepseek:thm_9710",
88
+ "deepseek:thm_9711",
89
+ "deepseek:thm_9712",
90
+ "deepseek:thm_9713",
91
+ "deepseek:thm_9714",
92
+ "deepseek:thm_9715",
93
+ "deepseek:thm_9716",
94
+ "deepseek:thm_9717",
95
+ "deepseek:thm_9718",
96
+ "deepseek:thm_9719",
97
+ "deepseek:thm_9720",
98
+ "deepseek:thm_9721",
99
+ "deepseek:thm_9722",
100
+ "deepseek:thm_9723",
101
+ "deepseek:thm_9724",
102
+ "deepseek:thm_9725",
103
+ "deepseek:thm_9726",
104
+ "deepseek:thm_9727",
105
+ "deepseek:thm_9728",
106
+ "deepseek:thm_9729",
107
+ "deepseek:thm_9730",
108
+ "deepseek:thm_9731",
109
+ "deepseek:thm_9732",
110
+ "deepseek:thm_9734",
111
+ "deepseek:thm_9735",
112
+ "deepseek:thm_9736"
113
+ ],
114
+ "proof_keys": [
115
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009650.lean\",\"230e262ddda669c321c7d7ed921a17bfdcf922aeb21d7db060c43fcc429c9a07\",0,\"thm_9687\"]",
116
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009651.lean\",\"e9424dcbf776b4031ef613b6cc91ff404b96c7794495164b9055b48e467d42b2\",0,\"thm_9688\"]",
117
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009652.lean\",\"c34d5f6aeb516cc506e16b94fddd533726b561b4ff3443fa1ee39cf0c43e33fe\",0,\"thm_9689\"]",
118
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009653.lean\",\"e299577beacc1d03ef4ee4602ef941725ee94bcef46945e6ee22497b108d0cdc\",0,\"thm_9690\"]",
119
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009654.lean\",\"17c9399077bfac87577be9063ea6b90cf1f1c6425deca9b06f688bb03078d5d6\",0,\"thm_9691\"]",
120
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009655.lean\",\"7114e4a1b49b2172b25064558207c2cba3d4f0bda75da1ecddc7e563fc27d717\",0,\"thm_9692\"]",
121
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009656.lean\",\"201b62943d6450d8e6d6695cce2bb3293c43798f1150d2acff069e6f4d173f04\",0,\"thm_9693\"]",
122
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009657.lean\",\"61ca9762eaf1b5ba41f201da266563e56257d05693f40470b75a29c2fdef8528\",0,\"thm_9694\"]",
123
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009658.lean\",\"bddfbc604748d6b6c03ce44a115c93708f96ee0133265007765aed2512c04d08\",0,\"thm_9695\"]",
124
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009659.lean\",\"8410717286ab98420bff2bce7a1c91d72fb4b9688f5bb3e49fa1d4971f013956\",0,\"thm_9696\"]",
125
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009660.lean\",\"8ffa24f1877df02a8031929187b83f6a71343e8987543fc469c28f46a2ff4847\",0,\"thm_9697\"]",
126
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009661.lean\",\"5309fae3e2c6f45038c620b3c44a5cc7c79b3a20fc8b83496d3f412e86568911\",0,\"thm_9698\"]",
127
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009662.lean\",\"b3cf04c6a4f71616021216f60ad8cf6995ec84cf7a60661183f050897c086b24\",0,\"thm_9699\"]",
128
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009663.lean\",\"c1a2fe30272c012c4badd3d52702ae7998eb1a0d54deda890a700bb5a684f2a8\",0,\"thm_9700\"]",
129
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009664.lean\",\"2153887dee8db6eeabaabdbfc0ad6ef52935261bf8ad46aa8ac154bb7a43fb05\",0,\"thm_9701\"]",
130
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009665.lean\",\"3369dfd4161469b7ff5a927f6598dcaf6b2fdf60a25ecb50aa9cd7c6f60c6722\",0,\"thm_9702\"]",
131
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009666.lean\",\"e8e5ae459acf904bb54ff2271f919de239316228dd219d6ce2538aee7e74c21e\",0,\"thm_9703\"]",
132
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009667.lean\",\"0a1200068a23efa83336ddda447c03e96b558fe09f724e71dbd83d5c9dae9e68\",0,\"thm_9704\"]",
133
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009668.lean\",\"026da7f4e584d97fdf8e370962fedd0ee37b61ed1dcf15b133bec998b45eaa0e\",0,\"thm_9705\"]",
134
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009669.lean\",\"e2c0689953b68c76a019c7028f1828069bdd5d7e0fcea4fc1c18519f7203fe45\",0,\"thm_9706\"]",
135
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009670.lean\",\"e656650ca1c9b75d929b36d8bfd7742df78b9164895a8a8788da92ef3d164086\",0,\"thm_9707\"]",
136
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009671.lean\",\"b0716e1942648c13d40222883e99439fd5aa421b082133c65711d5369974baa7\",0,\"thm_9708\"]",
137
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009672.lean\",\"69c14fae25dcbc8ecf8972743b3c7d04be65439522727a1e6502653ae1f5bd93\",0,\"thm_9709\"]",
138
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009673.lean\",\"8bc026e38f26a54fc4f0f7b7b46e786bb8a208d8559d27569a337ba749862826\",0,\"thm_9710\"]",
139
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009674.lean\",\"bb01871a0d1a795860444092e3cdd77919676094ec6d6a8dd2da617a68fbafeb\",0,\"thm_9711\"]",
140
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009675.lean\",\"caac15c1eeac4db1e911e4e363cfc30740a02888eca336aacea54e5dd92339aa\",0,\"thm_9712\"]",
141
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009676.lean\",\"8638c0da98e51f4367a9e650d8593bfc39ea99b6bc58684a77ff21a52fb928ca\",0,\"thm_9713\"]",
142
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009677.lean\",\"28b725d618b0d4554a9e49da219d99a4506228c283a1c1422d7fda7e45171a43\",0,\"thm_9714\"]",
143
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009678.lean\",\"a204ca62009d6d1db67ae325b5942a0d84984a9ade444ee909ae17ed87032521\",0,\"thm_9715\"]",
144
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009679.lean\",\"61411b714da652344fd168b5ae451e6668d843729aac08c06430ee9c611d6360\",0,\"thm_9716\"]",
145
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009680.lean\",\"8a65d3f11af196e624c9fc726af94ca5f94dec3d911d4d66ca344f6bfa0b65a4\",0,\"thm_9717\"]",
146
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009681.lean\",\"3b8983a16b084e4302700f43a5d180278bc788883085af77988dd680db4b3cda\",0,\"thm_9718\"]",
147
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009682.lean\",\"822990d0d28f54a9be61026485a4ffb495b8bd1fecd99640e4c8f9a6ba5e91b5\",0,\"thm_9719\"]",
148
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009683.lean\",\"e4bf873b01a8f78e7fcb18dcdb1dbe10e2bb96022d75f89e7193057e4d0b47ba\",0,\"thm_9720\"]",
149
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009684.lean\",\"759b5a74a725279f01bc4a56bc29f62e0e8c158c9da4d4fbe00f83005b0ed0c0\",0,\"thm_9721\"]",
150
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009685.lean\",\"82098e2eb9748f237eb2b9e3d41d8e5cecf701cb6c1867d1822d25becb50f191\",0,\"thm_9722\"]",
151
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009686.lean\",\"1124e8d83497373090fd484e92fd72906b54938fc4aee274da26bd86a31a5cec\",0,\"thm_9723\"]",
152
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009687.lean\",\"11294f2309d3e9853f02d5f50251d62ec62f804d969af4e267f2a126ec9deb1b\",0,\"thm_9724\"]",
153
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009688.lean\",\"cab333cc0c697d1d12a70409e04021ca83f6269f9b49ec6f889117f95e0fdb46\",0,\"thm_9725\"]",
154
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009689.lean\",\"5fd797d53d1341339647ea42c228f61e1979d28e28ef8e4b7d03bad4acadeb53\",0,\"thm_9726\"]",
155
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009690.lean\",\"4dbdada36e092bce78186e325e46c75b167b8193926afdb137bb49e0654f90b4\",0,\"thm_9727\"]",
156
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009691.lean\",\"9ab9cfc76c06b9fd882b5472c9dc7b8be4e9be675eb9ed4e5e93a142b6712a38\",0,\"thm_9728\"]",
157
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009692.lean\",\"39f8cb0cdd97860eb6ef99bbcde83c127e0e168f24296012132d704c0cea4a7c\",0,\"thm_9729\"]",
158
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009693.lean\",\"435763a78db7f51b4f785922e4ff8a9cee69b9d76bc58f4e96d27c87b8c08654\",0,\"thm_9730\"]",
159
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009694.lean\",\"5593e024ea183de846c1554bb8f010acb12055654afd1116cc14d8c9a3c65124\",0,\"thm_9731\"]",
160
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009695.lean\",\"c5e9e41b178290cd2a7c9d1f2202a3322858777814b8875b63b73adde0547a87\",0,\"thm_9732\"]",
161
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009697.lean\",\"92161be0fb1f7109053e8ca81be378de13205f0da5ea5d7a596927461c64c66f\",0,\"thm_9734\"]",
162
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009698.lean\",\"1dd5b67a0be11ad936bc08d35bbb39381cb179bb3420bd3a3be9d5a0da9ab758\",0,\"thm_9735\"]",
163
+ "[\"deepseek\",\"1ee889f608fb12ba3596757ee91a60acd663ea81\",\"Full/Proof_009699.lean\",\"6ef9be81bbbae156cf9746eb8825a02c0edf2fe54f7bca58a1f7a3a351703163\",0,\"thm_9736\"]"
164
+ ]
165
+ }