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Datasets:
HyperCactus0
/
LeanTransitionCorpus

Tasks:
Text Generation
Tags:
lean
lean4
automated-theorem-proving
theorem-proving
formal-mathematics
mathematics
License:
Dataset card Data Studio Files
xet
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1
HyperCactus0 commited on
Commit
3b73e5e
·
verified ·
1 Parent(s): 2f97688

Record 13 verified HPC batch manifests

Browse files
Files changed (13) hide show
  1. manifests/batches/oproofs/s00000-r00007368-n000004.json +51 -0
  2. manifests/batches/oproofs/s00000-r00007620-n000004.json +44 -0
  3. manifests/batches/oproofs/s00000-r00007664-n000004.json +51 -0
  4. manifests/batches/oproofs/s00000-r00007676-n000004.json +44 -0
  5. manifests/batches/oproofs/s00000-r00007680-n000004.json +44 -0
  6. manifests/batches/oproofs/s00000-r00007696-n000004.json +44 -0
  7. manifests/batches/oproofs/s00000-r00007700-n000004.json +44 -0
  8. manifests/batches/oproofs/s00000-r00007704-n000004.json +44 -0
  9. manifests/batches/oproofs/s00000-r00007708-n000004.json +44 -0
  10. manifests/batches/oproofs/s00000-r00007720-n000004.json +51 -0
  11. manifests/batches/oproofs/s00000-r00007728-n000004.json +58 -0
  12. manifests/batches/oproofs/s00000-r00007736-n000004.json +44 -0
  13. manifests/batches/oproofs/s00000-r00007768-n000004.json +44 -0
manifests/batches/oproofs/s00000-r00007368-n000004.json ADDED
@@ -0,0 +1,51 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
2
+ "format": "leangpt-parquet-v2",
3
+ "batch": "oproofs/s00000-r00007368-n000004",
4
+ "batch_fingerprint": "614ad59dbff272b5dbb5a7b433cd9271075598c57d2312dce433a043aa758095",
5
+ "evidence": {
6
+ "batch_fingerprint": "614ad59dbff272b5dbb5a7b433cd9271075598c57d2312dce433a043aa758095",
7
+ "contamination_matches": [],
8
+ "corpus_duplicate_proofs": [],
9
+ "failures": [],
10
+ "input_proofs": 4,
11
+ "input_units": 4,
12
+ "pretrace_duplicate_proofs": [],
13
+ "proofs": 4,
14
+ "published_proofs": 4,
15
+ "published_transitions": 33,
16
+ "replay_failures": [],
17
+ "trace_mode": "individual",
18
+ "transitions": 33,
19
+ "validation_failures": [],
20
+ "validation_rejected_proofs": 0,
21
+ "zero_transition_proofs": 0
22
+ },
23
+ "shards": [
24
+ {
25
+ "path": "data/train/pde/oproofs-s00000-r00007368-n000004-0000-ee40ea2efc6e9520.parquet",
26
+ "sha256": "ee40ea2efc6e95200c7458770551697c81f3eba21bf51f5d98ea06d7575a4da8",
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+ "bytes": 776771,
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+ "rows": 31,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ },
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+ {
32
+ "path": "data/train/pde/oproofs-s00000-r00007368-n000004-0001-e01ad6a30b16aa3b.parquet",
33
+ "sha256": "e01ad6a30b16aa3b0558b711f5c41a3f928c607fece7755ba9b99fbafa2245fb",
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+ "bytes": 200924,
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+ "rows": 2,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
40
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7368",
41
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7369",
42
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7370",
43
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7371"
44
+ ],
45
+ "proof_keys": [
46
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007368.lean\",\"c28fad0d3aa489d635dade70f00b7efc3d431651c0408ba0464bd549a2a6798a\",0,\"sin_dont_converge\"]",
47
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007369.lean\",\"831eb57307c470e029a0ef53931403a48f15815c4849f5e5d7e55b88180e0b39\",0,\"algebra_481307\"]",
48
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007370.lean\",\"8810ddeed9b2f3ef42d73eee57b1764e348448b825a178a074d9e0fcc0ded186\",0,\"prove\"]",
49
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007371.lean\",\"441a5f291d1727b1e885e6948d41781685394fb19cfd8e1493672bcaecf0e95b\",0,\"Prove\"]"
50
+ ]
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+ }
manifests/batches/oproofs/s00000-r00007620-n000004.json ADDED
@@ -0,0 +1,44 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "oproofs/s00000-r00007620-n000004",
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+ "batch_fingerprint": "c0e216d55d142ed0f94c2e61c1bf58190c82051549f1f7d881b4c618e3d69f6e",
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+ "evidence": {
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+ "batch_fingerprint": "c0e216d55d142ed0f94c2e61c1bf58190c82051549f1f7d881b4c618e3d69f6e",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
9
+ "failures": [],
10
+ "input_proofs": 4,
11
+ "input_units": 4,
12
+ "pretrace_duplicate_proofs": [],
13
+ "proofs": 4,
14
+ "published_proofs": 4,
15
+ "published_transitions": 10,
16
+ "replay_failures": [],
17
+ "trace_mode": "individual",
18
+ "transitions": 10,
19
+ "validation_failures": [],
20
+ "validation_rejected_proofs": 0,
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+ "zero_transition_proofs": 0
22
+ },
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+ "shards": [
24
+ {
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+ "path": "data/train/p7e/oproofs-s00000-r00007620-n000004-0000-83eff0337fd45ce2.parquet",
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+ "sha256": "83eff0337fd45ce2863f0f8ab776445fd8cd337489d803c962ceaad729ef89bf",
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+ "bytes": 1019751,
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+ "rows": 10,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7620",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7621",
35
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7622",
36
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7623"
37
+ ],
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+ "proof_keys": [
39
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007620.lean\",\"499c65867be3d9c26c5eba3c94a3b4de10c1a96e8bbbef8cd0c0dcabef263e50\",0,\"brouwer_fixed_point\"]",
40
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007621.lean\",\"f92862af287250d7b976a1a769b9df51d8db89208756dc3ad9913bd041414357\",0,\"algebra_528879\"]",
41
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007622.lean\",\"d9d62fedd39b6ff5a5e2745dc45aa0853e90dbf965bb799f1f40768bb79964a1\",0,\"T\"]",
42
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007623.lean\",\"6249915363d562c608bc015036631e648c9aea8d17b64f5699d305b3e682243b\",0,\"solution\"]"
43
+ ]
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+ }
manifests/batches/oproofs/s00000-r00007664-n000004.json ADDED
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+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "oproofs/s00000-r00007664-n000004",
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+ "batch_fingerprint": "1adff92754293aee5dec001d5d8fd031fdccb88ad980f29deae793b0680b0dc6",
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+ "evidence": {
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+ "batch_fingerprint": "1adff92754293aee5dec001d5d8fd031fdccb88ad980f29deae793b0680b0dc6",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
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+ "failures": [],
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+ "input_proofs": 4,
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+ "input_units": 4,
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+ "pretrace_duplicate_proofs": [],
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+ "proofs": 4,
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+ "published_proofs": 4,
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+ "published_transitions": 16,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 16,
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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/pff/oproofs-s00000-r00007664-n000004-0000-ba39fe47287ce53b.parquet",
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+ "sha256": "ba39fe47287ce53ba6fdd84e9c0fd01c9c0f34ecf2ecc05a6005a2ac8c16ddbb",
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+ "bytes": 782180,
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+ "rows": 13,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ },
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+ {
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+ "path": "data/train/pff/oproofs-s00000-r00007664-n000004-0001-64e6a38a1ef09a51.parquet",
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+ "sha256": "64e6a38a1ef09a51b379c97d00fc218bd8256c7e5e85cb520c16017c3f9f7c71",
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+ "bytes": 73527,
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+ "rows": 3,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7664",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7665",
42
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7666",
43
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7667"
44
+ ],
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+ "proof_keys": [
46
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007664.lean\",\"5b3cfe7d5736b9faefaba08afc0ad2bcf67af548c5c9484a866e88d3d72d34df\",0,\"prove!\"]",
47
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007665.lean\",\"13dad78a47c17a7f215850d3a10e5d8c4f0b3f08cbf9dbbb9904a0b06b11386b\",0,\"ComplexSolutions\"]",
48
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007666.lean\",\"fa8f4fa10e21e5946fd90fdb8617d7a34f1e7156794ff215a502bfe1886701f3\",0,\"prove\"]",
49
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007667.lean\",\"4d4c7efe4a34021c703164f1d16feb43343d3663fe94a2700cc48a6437ac610c\",0,\"isRelPrime\"]"
50
+ ]
51
+ }
manifests/batches/oproofs/s00000-r00007676-n000004.json ADDED
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1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "oproofs/s00000-r00007676-n000004",
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+ "batch_fingerprint": "73c1961adc50152b35f03893cad5cf2529f76e7d70eb2ed23e83547c8d6a53e2",
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+ "evidence": {
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+ "batch_fingerprint": "73c1961adc50152b35f03893cad5cf2529f76e7d70eb2ed23e83547c8d6a53e2",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
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+ "failures": [],
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+ "input_proofs": 4,
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+ "input_units": 4,
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+ "pretrace_duplicate_proofs": [],
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+ "proofs": 4,
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+ "published_proofs": 4,
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+ "published_transitions": 16,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 16,
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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/p24/oproofs-s00000-r00007676-n000004-0000-db34bb9f1f02c5d1.parquet",
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+ "sha256": "db34bb9f1f02c5d1a862c5168104e593f1a1f5b802a5bf275a40cc131794d749",
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+ "bytes": 570454,
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+ "rows": 16,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
33
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7676",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7677",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7678",
36
+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7679"
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+ ],
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+ "proof_keys": [
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007676.lean\",\"0b82381f232971129db1276f8d9ee6cfbd81ef5c3bfb10ac3894ea9078b354cd\",0,\"prove\"]",
40
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007677.lean\",\"2b339a664b3e5104be8ba6223ec62782e56ecf799ea4131ceff3255eed0ba574\",0,\"solution\"]",
41
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007678.lean\",\"d69322200ccdd27b1b1dc7863bf85be10cab0fa7aabb92a0007fd5f930e1e40e\",0,\"prove_prime_pair\"]",
42
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007679.lean\",\"6d6efbccc4a05af200d7a034425cd63256f8b6bc42265b7962778f4dd3efc230\",0,\"part_a\"]"
43
+ ]
44
+ }
manifests/batches/oproofs/s00000-r00007680-n000004.json ADDED
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1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "oproofs/s00000-r00007680-n000004",
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+ "batch_fingerprint": "3b910ade132fa85387cd6c26728a7d77a434e3c4cd0fed177b7e86a4ff2505f9",
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+ "evidence": {
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+ "batch_fingerprint": "3b910ade132fa85387cd6c26728a7d77a434e3c4cd0fed177b7e86a4ff2505f9",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
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+ "failures": [],
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+ "input_proofs": 4,
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+ "input_units": 4,
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+ "pretrace_duplicate_proofs": [],
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+ "proofs": 4,
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+ "published_proofs": 4,
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+ "published_transitions": 19,
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+ "replay_failures": [],
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+ "trace_mode": "individual",
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+ "transitions": 19,
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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/pe8/oproofs-s00000-r00007680-n000004-0000-e2183d1229f8d0f7.parquet",
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+ "sha256": "e2183d1229f8d0f791dfb8649ff000ed71599afa54846f6cce94f94bc88431ec",
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+ "bytes": 834074,
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+ "rows": 19,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7680",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7681",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7682",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7683"
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+ ],
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+ "proof_keys": [
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007680.lean\",\"b7cb8c287bbf000133b035a9c4be356b2b9f461a9dc2f9aeaa337c33d6f2ddd1\",0,\"dist_a_b_c\"]",
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007681.lean\",\"a931dee083810579facc6c2f90f6dd7780acf7947c215e44bf5bb9539585e236\",0,\"FunctionEqToConst\"]",
41
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007682.lean\",\"d00853c26d059b7caaf24f78391a8ba7cd422be3460d977bc59e3d3c0fb90d41\",0,\"q\"]",
42
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007683.lean\",\"3f6efc1e917760efc23f99ec1a6f9abc7127e4f90437bff4db019409df1bbb8e\",0,\"Real.sqrt_ine\"]"
43
+ ]
44
+ }
manifests/batches/oproofs/s00000-r00007696-n000004.json ADDED
@@ -0,0 +1,44 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
3
+ "batch": "oproofs/s00000-r00007696-n000004",
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+ "batch_fingerprint": "20f62fc346233bbf8bfadff4392c0eca0304a0e2e83d691a2d602b59a4de1103",
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+ "evidence": {
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+ "batch_fingerprint": "20f62fc346233bbf8bfadff4392c0eca0304a0e2e83d691a2d602b59a4de1103",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
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+ "failures": [],
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+ "input_proofs": 4,
11
+ "input_units": 4,
12
+ "pretrace_duplicate_proofs": [],
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+ "proofs": 4,
14
+ "published_proofs": 4,
15
+ "published_transitions": 13,
16
+ "replay_failures": [],
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+ "trace_mode": "individual",
18
+ "transitions": 13,
19
+ "validation_failures": [],
20
+ "validation_rejected_proofs": 0,
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+ "zero_transition_proofs": 0
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+ },
23
+ "shards": [
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+ {
25
+ "path": "data/train/pc5/oproofs-s00000-r00007696-n000004-0000-25c06de872a90a08.parquet",
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+ "sha256": "25c06de872a90a08116bf9a91700e09bcbeb9a05eeb5e254b6bae5c3561291e9",
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+ "bytes": 129207,
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+ "rows": 13,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7696",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7697",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7698",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7699"
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+ ],
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7738",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7739"
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+ ],
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+ "proof_keys": [
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007736.lean\",\"08049a3581216b01ec8305f47958495c1d89bceb1112aaf27d9406e8570dfc87\",0,\"sqrt_abc\"]",
40
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007737.lean\",\"ebdf25e8579e8da7f9b6b1399b5b5e6bf202d8e9379943fff74a21e77676456e\",0,\"algebra\"]",
41
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007738.lean\",\"05fd7923a2e82406a97f3a54860cfd5a14e42a42197e397732084536c17ed378\",0,\"quadratic_roots\"]",
42
+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007739.lean\",\"e582c3d7aecce02c81940a7d6008759d32df0087d35f06ff1b48038e0d023798\",0,\"logp\"]"
43
+ ]
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+ }
manifests/batches/oproofs/s00000-r00007768-n000004.json ADDED
@@ -0,0 +1,44 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ {
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+ "format": "leangpt-parquet-v2",
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+ "batch": "oproofs/s00000-r00007768-n000004",
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+ "batch_fingerprint": "2d86751133d3f3205b8668b8af3c94bffc1677819431e87e18b219aea9da73ae",
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+ "evidence": {
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+ "batch_fingerprint": "2d86751133d3f3205b8668b8af3c94bffc1677819431e87e18b219aea9da73ae",
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+ "contamination_matches": [],
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+ "corpus_duplicate_proofs": [],
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+ "failures": [],
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+ "input_proofs": 4,
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+ "input_units": 4,
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+ "pretrace_duplicate_proofs": [],
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+ "proofs": 4,
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+ "published_proofs": 4,
15
+ "published_transitions": 17,
16
+ "replay_failures": [],
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+ "trace_mode": "individual",
18
+ "transitions": 17,
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+ "validation_failures": [],
20
+ "validation_rejected_proofs": 0,
21
+ "zero_transition_proofs": 0
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+ },
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+ "shards": [
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+ {
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+ "path": "data/train/p47/oproofs-s00000-r00007768-n000004-0000-85ed9d8fba0048da.parquet",
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+ "sha256": "85ed9d8fba0048da8d6044228b4418189a197593069c2bbe1b930ea338238aa4",
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+ "bytes": 164281,
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+ "rows": 17,
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+ "revision": "2f97688e1ecffff9fc2c45a7c7fe1223e7a66e74"
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+ }
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+ ],
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+ "proof_ids": [
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7768",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7769",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7770",
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+ "oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:0:7771"
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+ ],
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+ "proof_keys": [
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007768.lean\",\"ba65b67dfcd7b256990bdb08ffd62def87c86b50744e4c9f5df1223547fa4c43\",0,\"sum'\"]",
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007769.lean\",\"758efe2634d13f70a2c4b34f54f560d4a483ea4ff35e8ca69c179db3089f8b81\",0,\"arcsin_tendsto\"]",
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007770.lean\",\"879970e534bad2b0fc8acd522f6de413a1d42cc42b344a3cb38d67bd327eaeff\",0,\"Tendsto\"]",
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+ "[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_007771.lean\",\"81f1966ceb801835dacd11d70573e2674ca331baef6342453f408adccbe98145\",0,\"max\"]"
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+ ]
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+ }