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
ab03a87
·
verified ·
1 Parent(s): 8e669a8

Record 19 packed OProof batch receipts

Browse files
Files changed (2) hide show
  1. manifests/groups/oproofs/s00001/g000036.json +0 -0
  2. manifests/groups/oproofs/s00001/g000037.json +1 -1
manifests/groups/oproofs/s00001/g000036.json CHANGED
The diff for this file is too large to render. See raw diff
 
manifests/groups/oproofs/s00001/g000037.json CHANGED
@@ -1 +1 @@
1
- {"batches":{"oproofs/s00001-r00037888-n000004":{"batch":"oproofs/s00001-r00037888-n000004","batch_fingerprint":"5f2491e79cbea5699a9f53d3dcd25af8a09190b44e7820811b147e12fe9bbfc4","evidence":{"batch_fingerprint":"5f2491e79cbea5699a9f53d3dcd25af8a09190b44e7820811b147e12fe9bbfc4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":25,"replay_failures":[],"trace_mode":"individual","transitions":25,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37888","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37889","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37890","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37891"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037888.lean\",\"83e936e63495d172b1873aba47dcf278044d0ee3e3a7f0367f667719be6dda85\",0,\"inequalities\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037889.lean\",\"4a3188c95e868bcf9bd09f53930f82d2aa7b68d87b74c9e7717a6ede6f37279e\",0,\"exp\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037890.lean\",\"63fc680901d84122fcb6e9b42b0d1c69a113d4fdee07dfc2bd51a45f41a860b9\",0,\"EuclideanGeometry.prove_567085\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037891.lean\",\"38ba3c0e51a6599e331c445f6c550334988e3eb61971adae352d4e2e17585930\",0,\"inequality\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":44,"row_start":35,"rows":9,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":116515,"path":"data/dev/pfd/oproofs-s00001-g000037-0000-476d06543091b041.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":12,"row_start":3,"rows":9,"sha256":"476d06543091b041d972158124101a4dbb07e448e415b80b555d115b01a84e90"},{"bytes":192489,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-3f5721063aeb1c97.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":7,"row_start":0,"rows":7,"sha256":"3f5721063aeb1c97c2bb6a4ce6c998424e686473a1a0435d3a86993e65e003b3"}]},"oproofs/s00001-r00037896-n000004":{"batch":"oproofs/s00001-r00037896-n000004","batch_fingerprint":"b1c8ffa1d69e475e13e0c72d494199fea2ceba753f97329621b37c69ef7686b7","evidence":{"batch_fingerprint":"b1c8ffa1d69e475e13e0c72d494199fea2ceba753f97329621b37c69ef7686b7","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[{"file_path":"Full/Proof_00037899.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37899","reason":"no_proof_declaration","selection":{"file_path":"Full/Proof_00037899.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37899","index":37899,"metadata":{"source_dataset":"oproofs","source_internal_duplicate":false,"source_row":37899,"source_shard":1,"source_statement_fingerprint":"ae9f72335652bc544b3226a876480d3d59f3977a925c27a3e9c238855dee1305"},"source_sha256":"1c76d5808a0eba3add8740fb70f8d8145695bb618b7a5d57ecfc364385a6f445"},"source_file":"Full/Proof_00037899.lean"}],"input_proofs":4,"input_units":3,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":3,"published_proofs":3,"published_transitions":8,"replay_failures":[],"trace_mode":"individual","transitions":8,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37896","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37897","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37898"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037896.lean\",\"1d38096fbe152b0a43017ed81a4874503daf9ddf9cfcf3a43029a6c95a7be6d4\",0,\"seqConv\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037897.lean\",\"13dd15330b74b970cfa14ee6b8913bc29a5e8d367448921f5a8aeddc8c852e0c\",0,\"support_compact\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037898.lean\",\"e67a5ab5dc029ece0087f8d72488f7a16b873b9b798caed6e8a794f9af51dd1d\",0,\"find_lambda\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":5,"row_start":0,"rows":5,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":116515,"path":"data/dev/pfd/oproofs-s00001-g000037-0000-476d06543091b041.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":3,"row_start":0,"rows":3,"sha256":"476d06543091b041d972158124101a4dbb07e448e415b80b555d115b01a84e90"}]},"oproofs/s00001-r00037900-n000004":{"batch":"oproofs/s00001-r00037900-n000004","batch_fingerprint":"763857e781e63d646adb825439b8bb8c67d8231001468fc9b1f8d604ea6b106b","evidence":{"batch_fingerprint":"763857e781e63d646adb825439b8bb8c67d8231001468fc9b1f8d604ea6b106b","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":15,"replay_failures":[],"trace_mode":"individual","transitions":15,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37900","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37901","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37902","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37903"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037900.lean\",\"e008767ce8d55b4d28fa682633cbc9d9f3a3c7ad07d740205383c7aa824ddb4b\",0,\"algebraicDiscriminant\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037901.lean\",\"ba1c3cde5382d2664a6d13278b641e488da3da9f6b60e919cf935c5dacad8fad\",0,\"\u03c3\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037902.lean\",\"7ad76a58535cec675ccdde7bba2dbe5f82239372ab9c26d551a984d93111abfb\",0,\"algebra_573019\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037903.lean\",\"9804676d0727a807342f5a3dfbab936bbffee1b53052c2462133426feb043dcb\",0,\"image_compact\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":27,"row_start":12,"rows":15,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037904-n000004":{"batch":"oproofs/s00001-r00037904-n000004","batch_fingerprint":"7787c0f84cfb346be9029745aef60e15cc38bf7c7b1fcc5ff931d57eb14ed2d3","evidence":{"batch_fingerprint":"7787c0f84cfb346be9029745aef60e15cc38bf7c7b1fcc5ff931d57eb14ed2d3","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":15,"replay_failures":[],"trace_mode":"individual","transitions":15,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37904","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37905","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37906","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37907"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037904.lean\",\"2ed005a7b34dd26fe9d90123093277ac3660c60f70255db29a4b07f3cbaa9ee0\",0,\"MetricSpaceCompleteClosed\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037905.lean\",\"d32a81753d5b5aafbfc6a0e6989d5a674b741143937e76fd8d6f0fef35eb147e\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037906.lean\",\"fa4f54704ce1a044cd257f152baae705b656f4ee0e85cdc3cbb991ff76b6d356\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037907.lean\",\"fe2348f951db38269ed7c9b7e1f07133d6aa76bc280beec29e091642a5378504\",0,\"q\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":60,"row_start":50,"rows":10,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":5,"row_start":0,"rows":5,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"}]},"oproofs/s00001-r00037908-n000004":{"batch":"oproofs/s00001-r00037908-n000004","batch_fingerprint":"cd13fab19d2f73ca71d38ca44dee8adc4d7ac1e6456330f50e0ba5fd8c2835a4","evidence":{"batch_fingerprint":"cd13fab19d2f73ca71d38ca44dee8adc4d7ac1e6456330f50e0ba5fd8c2835a4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037908.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37908","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037910.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37910","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":11,"replay_failures":[],"trace_mode":"individual","transitions":11,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37909","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37911"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037909.lean\",\"9fb53da6bd54a924ffdfd5bfc3f9e85c134c82f614b1d5555f20891aaa5b74ce\",0,\"max_value\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037911.lean\",\"0b158cc480f639bfc34f8a6207f20354a2e0f10043397dffc99afe4cf4ad4d4e\",0,\"q\"]"],"shards":[{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":16,"row_start":5,"rows":11,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"}]},"oproofs/s00001-r00037912-n000004":{"batch":"oproofs/s00001-r00037912-n000004","batch_fingerprint":"1975c83fb780caa4639c66187c723afdcc567566c6701db2c81e9f4d3323ae3a","evidence":{"batch_fingerprint":"1975c83fb780caa4639c66187c723afdcc567566c6701db2c81e9f4d3323ae3a","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037912.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37912","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037913.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37913","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":7,"replay_failures":[],"trace_mode":"individual","transitions":7,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37914","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37915"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037914.lean\",\"f105c04be20038a22fcb161238bc00ebd28005482d324b90b3c04988f76caa12\",0,\"MatrixMulABC\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037915.lean\",\"55f7ecc5eaefa7f27650810621b0ae93a9d321cbb6934c2f0583a99c2bf379ca\",0,\"max_value\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":12,"row_start":5,"rows":7,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037916-n000004":{"batch":"oproofs/s00001-r00037916-n000004","batch_fingerprint":"8c2df11860b50dec1b8314dc0212cbf4f0df904db126b7133b7e4ee237f559d0","evidence":{"batch_fingerprint":"8c2df11860b50dec1b8314dc0212cbf4f0df904db126b7133b7e4ee237f559d0","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037916.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37916","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037917.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37917","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037919.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37919","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37918"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037918.lean\",\"9a7e86483876e51ddb0a7dad36fc3b70d79688491d1de33fe48cc59e3cf970c5\",0,\"qwen\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":46,"row_start":44,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037920-n000004":{"batch":"oproofs/s00001-r00037920-n000004","batch_fingerprint":"db51938fb041ca67ebcd61e0fefd177e0cd0a173ecd30529b42793217ddf7f44","evidence":{"batch_fingerprint":"db51938fb041ca67ebcd61e0fefd177e0cd0a173ecd30529b42793217ddf7f44","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037921.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37921","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037922.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37922","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":7,"replay_failures":[],"trace_mode":"individual","transitions":7,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37920","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37923"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037920.lean\",\"990e1f9bed8f5dbd731b97d5bc731dfbb8e3d7953b2597c98aee9eb23e461cbd\",0,\"algebra_486095\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037923.lean\",\"fe95b0508833e7d6e06b3466804fdd26410f986ad1d9e48bbb4a9698510a166b\",0,\"closure_of_irr\"]"],"shards":[{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":20,"row_start":16,"rows":4,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"},{"bytes":91177,"path":"data/train/pfd/oproofs-s00001-g000037-0002-dd7c5b6ffbed7e0b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":3,"row_start":0,"rows":3,"sha256":"dd7c5b6ffbed7e0bf7bef57e50eb026e210dfefc780bfe4a2bee543fba41926a"}]},"oproofs/s00001-r00037932-n000004":{"batch":"oproofs/s00001-r00037932-n000004","batch_fingerprint":"d3e9eb91c207fbea0bd81a3245d508d35fc3bcf64e68a0e90f3feef71121f6d4","evidence":{"batch_fingerprint":"d3e9eb91c207fbea0bd81a3245d508d35fc3bcf64e68a0e90f3feef71121f6d4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037933.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37933","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037934.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37934","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037935.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37935","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37932"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037932.lean\",\"b9ba8a87309f1d218093af74375f6691725fb3b5900c3ad06a5f7341c9e09435\",0,\"Tendsto\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":29,"row_start":27,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037936-n000004":{"batch":"oproofs/s00001-r00037936-n000004","batch_fingerprint":"1411bc1b8944e5640f894cf07d0f6cd7f170a3e369242e1c68c125d657cf31fa","evidence":{"batch_fingerprint":"1411bc1b8944e5640f894cf07d0f6cd7f170a3e369242e1c68c125d657cf31fa","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037936.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37936","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037938.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37938","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037939.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37939","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":4,"replay_failures":[],"trace_mode":"individual","transitions":4,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37937"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037937.lean\",\"d64c21d5cae41bdfe0c238a829ec156d006e6590f5ae2c3714d22549d8c6cc6e\",0,\"qwen\"]"],"shards":[{"bytes":192489,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-3f5721063aeb1c97.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":11,"row_start":7,"rows":4,"sha256":"3f5721063aeb1c97c2bb6a4ce6c998424e686473a1a0435d3a86993e65e003b3"}]},"oproofs/s00001-r00037940-n000004":{"batch":"oproofs/s00001-r00037940-n000004","batch_fingerprint":"80d46a100d081ae7fe46e311915f133ea73a69a66f793459fcf34f9fdd21c5e0","evidence":{"batch_fingerprint":"80d46a100d081ae7fe46e311915f133ea73a69a66f793459fcf34f9fdd21c5e0","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037940.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37940","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037943.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37943","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":6,"replay_failures":[],"trace_mode":"individual","transitions":6,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37941","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37942"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037941.lean\",\"1ca5e4c9c1e6e1ef7b85d0d857e8c0d1b12b1c58aed6760f1c7842a785154b7f\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037942.lean\",\"138a5f85a1cea86291863b124f5e9830f23c817aa01c3f65360bcac551b8376c\",0,\"seqConv\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":35,"row_start":29,"rows":6,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037960-n000004":{"batch":"oproofs/s00001-r00037960-n000004","batch_fingerprint":"75b7c89bd8fd6ed8d3978f0581434e3e6b948c9a9dd9f946a58138b11e4cc661","evidence":{"batch_fingerprint":"75b7c89bd8fd6ed8d3978f0581434e3e6b948c9a9dd9f946a58138b11e4cc661","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037960.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37960","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037961.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37961","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037963.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37963","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37962"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037962.lean\",\"6985fd2b9021b6824e49981d2b9b5b27cc396ca70a46024b363510e70ca6b4e6\",0,\"MatrixSquareIsDiagonalable\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":48,"row_start":46,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037964-n000004":{"batch":"oproofs/s00001-r00037964-n000004","batch_fingerprint":"3ba6c474b876b61500b30c0f1becf5e4243ec8df5ce703e46114b6be0147fd8d","evidence":{"batch_fingerprint":"3ba6c474b876b61500b30c0f1becf5e4243ec8df5ce703e46114b6be0147fd8d","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037964.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37964","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037965.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37965","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037966.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37966","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37967"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037967.lean\",\"9312b2601589cba3295eb425c2e59693c646807d47023cbdf9333b88aac5122e\",0,\"isCompactProduct\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":50,"row_start":48,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]}},"format":"leangpt-oproofs-batch-group-v1"}
 
1
+ {"batches":{"oproofs/s00001-r00037888-n000004":{"batch":"oproofs/s00001-r00037888-n000004","batch_fingerprint":"5f2491e79cbea5699a9f53d3dcd25af8a09190b44e7820811b147e12fe9bbfc4","evidence":{"batch_fingerprint":"5f2491e79cbea5699a9f53d3dcd25af8a09190b44e7820811b147e12fe9bbfc4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":25,"replay_failures":[],"trace_mode":"individual","transitions":25,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37888","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37889","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37890","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37891"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037888.lean\",\"83e936e63495d172b1873aba47dcf278044d0ee3e3a7f0367f667719be6dda85\",0,\"inequalities\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037889.lean\",\"4a3188c95e868bcf9bd09f53930f82d2aa7b68d87b74c9e7717a6ede6f37279e\",0,\"exp\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037890.lean\",\"63fc680901d84122fcb6e9b42b0d1c69a113d4fdee07dfc2bd51a45f41a860b9\",0,\"EuclideanGeometry.prove_567085\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037891.lean\",\"38ba3c0e51a6599e331c445f6c550334988e3eb61971adae352d4e2e17585930\",0,\"inequality\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":44,"row_start":35,"rows":9,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":116515,"path":"data/dev/pfd/oproofs-s00001-g000037-0000-476d06543091b041.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":12,"row_start":3,"rows":9,"sha256":"476d06543091b041d972158124101a4dbb07e448e415b80b555d115b01a84e90"},{"bytes":192489,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-3f5721063aeb1c97.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":7,"row_start":0,"rows":7,"sha256":"3f5721063aeb1c97c2bb6a4ce6c998424e686473a1a0435d3a86993e65e003b3"}]},"oproofs/s00001-r00037892-n000004":{"batch":"oproofs/s00001-r00037892-n000004","batch_fingerprint":"55d6a2a2dd23306c499652019c046427c8c454d0dc5c79a902c75460640be346","evidence":{"batch_fingerprint":"55d6a2a2dd23306c499652019c046427c8c454d0dc5c79a902c75460640be346","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":18,"replay_failures":[],"trace_mode":"individual","transitions":18,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37892","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37893","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37894","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37895"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037892.lean\",\"4336adfa093e62cc79d290729d1b5be16f3e0c710fb9c5a9b48aad1e80ee2287\",0,\"min_value\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037893.lean\",\"c4a3484bdbb54f77683d7362e07969b67ba0820b4f870f496b427a107c09d073\",0,\"fin_topology\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037894.lean\",\"fb41af5a267d0b6accd331621d16bc4174e4c624b74c45af2494f4e22f13c431\",0,\"min\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037895.lean\",\"d4a7d0f0597874668647427e12b9831ac52b39bcbfb24c803024fb8d917ea70b\",0,\"Evaluate\"]"],"shards":[{"bytes":890290,"path":"data/train/pfd/oproofs-s00001-g000037-0000-8463a1a0cf47b4e5.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":33,"row_start":27,"rows":6,"sha256":"8463a1a0cf47b4e5eb24000c111b87f24af02f4396f75a0210502253d4da5e53"},{"bytes":752968,"path":"data/train/pfd/oproofs-s00001-g000037-0001-079e47966ebea4fe.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":4,"row_start":0,"rows":4,"sha256":"079e47966ebea4fe6eb20f664bce633da9606f44c8287a01f3548e40bff017d7"},{"bytes":323511,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-bd4444fe1a7a0886.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":8,"row_start":0,"rows":8,"sha256":"bd4444fe1a7a0886f03920e7abfcb79eb23c0e2592f531b284c1a0b6b99b8f7b"}]},"oproofs/s00001-r00037896-n000004":{"batch":"oproofs/s00001-r00037896-n000004","batch_fingerprint":"b1c8ffa1d69e475e13e0c72d494199fea2ceba753f97329621b37c69ef7686b7","evidence":{"batch_fingerprint":"b1c8ffa1d69e475e13e0c72d494199fea2ceba753f97329621b37c69ef7686b7","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[{"file_path":"Full/Proof_00037899.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37899","reason":"no_proof_declaration","selection":{"file_path":"Full/Proof_00037899.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37899","index":37899,"metadata":{"source_dataset":"oproofs","source_internal_duplicate":false,"source_row":37899,"source_shard":1,"source_statement_fingerprint":"ae9f72335652bc544b3226a876480d3d59f3977a925c27a3e9c238855dee1305"},"source_sha256":"1c76d5808a0eba3add8740fb70f8d8145695bb618b7a5d57ecfc364385a6f445"},"source_file":"Full/Proof_00037899.lean"}],"input_proofs":4,"input_units":3,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":3,"published_proofs":3,"published_transitions":8,"replay_failures":[],"trace_mode":"individual","transitions":8,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37896","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37897","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37898"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037896.lean\",\"1d38096fbe152b0a43017ed81a4874503daf9ddf9cfcf3a43029a6c95a7be6d4\",0,\"seqConv\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037897.lean\",\"13dd15330b74b970cfa14ee6b8913bc29a5e8d367448921f5a8aeddc8c852e0c\",0,\"support_compact\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037898.lean\",\"e67a5ab5dc029ece0087f8d72488f7a16b873b9b798caed6e8a794f9af51dd1d\",0,\"find_lambda\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":5,"row_start":0,"rows":5,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":116515,"path":"data/dev/pfd/oproofs-s00001-g000037-0000-476d06543091b041.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":3,"row_start":0,"rows":3,"sha256":"476d06543091b041d972158124101a4dbb07e448e415b80b555d115b01a84e90"}]},"oproofs/s00001-r00037900-n000004":{"batch":"oproofs/s00001-r00037900-n000004","batch_fingerprint":"763857e781e63d646adb825439b8bb8c67d8231001468fc9b1f8d604ea6b106b","evidence":{"batch_fingerprint":"763857e781e63d646adb825439b8bb8c67d8231001468fc9b1f8d604ea6b106b","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":15,"replay_failures":[],"trace_mode":"individual","transitions":15,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37900","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37901","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37902","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37903"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037900.lean\",\"e008767ce8d55b4d28fa682633cbc9d9f3a3c7ad07d740205383c7aa824ddb4b\",0,\"algebraicDiscriminant\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037901.lean\",\"ba1c3cde5382d2664a6d13278b641e488da3da9f6b60e919cf935c5dacad8fad\",0,\"\u03c3\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037902.lean\",\"7ad76a58535cec675ccdde7bba2dbe5f82239372ab9c26d551a984d93111abfb\",0,\"algebra_573019\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037903.lean\",\"9804676d0727a807342f5a3dfbab936bbffee1b53052c2462133426feb043dcb\",0,\"image_compact\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":27,"row_start":12,"rows":15,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037904-n000004":{"batch":"oproofs/s00001-r00037904-n000004","batch_fingerprint":"7787c0f84cfb346be9029745aef60e15cc38bf7c7b1fcc5ff931d57eb14ed2d3","evidence":{"batch_fingerprint":"7787c0f84cfb346be9029745aef60e15cc38bf7c7b1fcc5ff931d57eb14ed2d3","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":15,"replay_failures":[],"trace_mode":"individual","transitions":15,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37904","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37905","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37906","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37907"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037904.lean\",\"2ed005a7b34dd26fe9d90123093277ac3660c60f70255db29a4b07f3cbaa9ee0\",0,\"MetricSpaceCompleteClosed\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037905.lean\",\"d32a81753d5b5aafbfc6a0e6989d5a674b741143937e76fd8d6f0fef35eb147e\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037906.lean\",\"fa4f54704ce1a044cd257f152baae705b656f4ee0e85cdc3cbb991ff76b6d356\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037907.lean\",\"fe2348f951db38269ed7c9b7e1f07133d6aa76bc280beec29e091642a5378504\",0,\"q\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":60,"row_start":50,"rows":10,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"},{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":5,"row_start":0,"rows":5,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"}]},"oproofs/s00001-r00037908-n000004":{"batch":"oproofs/s00001-r00037908-n000004","batch_fingerprint":"cd13fab19d2f73ca71d38ca44dee8adc4d7ac1e6456330f50e0ba5fd8c2835a4","evidence":{"batch_fingerprint":"cd13fab19d2f73ca71d38ca44dee8adc4d7ac1e6456330f50e0ba5fd8c2835a4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037908.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37908","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037910.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37910","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":11,"replay_failures":[],"trace_mode":"individual","transitions":11,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37909","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37911"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037909.lean\",\"9fb53da6bd54a924ffdfd5bfc3f9e85c134c82f614b1d5555f20891aaa5b74ce\",0,\"max_value\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037911.lean\",\"0b158cc480f639bfc34f8a6207f20354a2e0f10043397dffc99afe4cf4ad4d4e\",0,\"q\"]"],"shards":[{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":16,"row_start":5,"rows":11,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"}]},"oproofs/s00001-r00037912-n000004":{"batch":"oproofs/s00001-r00037912-n000004","batch_fingerprint":"1975c83fb780caa4639c66187c723afdcc567566c6701db2c81e9f4d3323ae3a","evidence":{"batch_fingerprint":"1975c83fb780caa4639c66187c723afdcc567566c6701db2c81e9f4d3323ae3a","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037912.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37912","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037913.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37913","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":7,"replay_failures":[],"trace_mode":"individual","transitions":7,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37914","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37915"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037914.lean\",\"f105c04be20038a22fcb161238bc00ebd28005482d324b90b3c04988f76caa12\",0,\"MatrixMulABC\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037915.lean\",\"55f7ecc5eaefa7f27650810621b0ae93a9d321cbb6934c2f0583a99c2bf379ca\",0,\"max_value\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":12,"row_start":5,"rows":7,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037916-n000004":{"batch":"oproofs/s00001-r00037916-n000004","batch_fingerprint":"8c2df11860b50dec1b8314dc0212cbf4f0df904db126b7133b7e4ee237f559d0","evidence":{"batch_fingerprint":"8c2df11860b50dec1b8314dc0212cbf4f0df904db126b7133b7e4ee237f559d0","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037916.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37916","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037917.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37917","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037919.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37919","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37918"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037918.lean\",\"9a7e86483876e51ddb0a7dad36fc3b70d79688491d1de33fe48cc59e3cf970c5\",0,\"qwen\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":46,"row_start":44,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037920-n000004":{"batch":"oproofs/s00001-r00037920-n000004","batch_fingerprint":"db51938fb041ca67ebcd61e0fefd177e0cd0a173ecd30529b42793217ddf7f44","evidence":{"batch_fingerprint":"db51938fb041ca67ebcd61e0fefd177e0cd0a173ecd30529b42793217ddf7f44","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037921.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37921","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037922.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37922","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":7,"replay_failures":[],"trace_mode":"individual","transitions":7,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37920","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37923"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037920.lean\",\"990e1f9bed8f5dbd731b97d5bc731dfbb8e3d7953b2597c98aee9eb23e461cbd\",0,\"algebra_486095\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037923.lean\",\"fe95b0508833e7d6e06b3466804fdd26410f986ad1d9e48bbb4a9698510a166b\",0,\"closure_of_irr\"]"],"shards":[{"bytes":947209,"path":"data/train/pfd/oproofs-s00001-g000037-0001-09c7bf87584fda0d.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":20,"row_start":16,"rows":4,"sha256":"09c7bf87584fda0d25e88e483819d4d64e4314370d70daf871d64ac3e8b84fe4"},{"bytes":91177,"path":"data/train/pfd/oproofs-s00001-g000037-0002-dd7c5b6ffbed7e0b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":3,"row_start":0,"rows":3,"sha256":"dd7c5b6ffbed7e0bf7bef57e50eb026e210dfefc780bfe4a2bee543fba41926a"}]},"oproofs/s00001-r00037924-n000004":{"batch":"oproofs/s00001-r00037924-n000004","batch_fingerprint":"6d377a5b3d79de9fb076ca94d8435b97ace6f3aeb737d389530966409e320437","evidence":{"batch_fingerprint":"6d377a5b3d79de9fb076ca94d8435b97ace6f3aeb737d389530966409e320437","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":24,"replay_failures":[],"trace_mode":"individual","transitions":24,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37924","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37925","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37926","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37927"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037924.lean\",\"d32c50a53394f4701ccc025448e8196132f28981e04c7aa16b7f1fcb1d7ed8bf\",0,\"PrimePair\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037925.lean\",\"d07543bc1815cdfbea87699d1f059e9ca06310a7c509352b989be745166e0723\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037926.lean\",\"86ed7967012c49d652f9e07961a589eac29c808398c3011a2440f2f497c42ac1\",0,\"T_last\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037927.lean\",\"df7dfa26f92dc30ffe39a8931b4508efe096e3b6cf07bd9d15e66dfa83f38446\",0,\"algebra_447229\"]"],"shards":[{"bytes":890290,"path":"data/train/pfd/oproofs-s00001-g000037-0000-8463a1a0cf47b4e5.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":23,"row_start":4,"rows":19,"sha256":"8463a1a0cf47b4e5eb24000c111b87f24af02f4396f75a0210502253d4da5e53"},{"bytes":140004,"path":"data/dev/pfd/oproofs-s00001-g000037-0000-22143c2ea5d8908c.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":5,"row_start":0,"rows":5,"sha256":"22143c2ea5d8908cdae5e7f9f1f9387565bbb88b86ba7a8c3c6383eb10282291"}]},"oproofs/s00001-r00037928-n000004":{"batch":"oproofs/s00001-r00037928-n000004","batch_fingerprint":"d09dc4091091078044ff9f2ce44121b841966c3f209ed680dfd7fc58463c7c7f","evidence":{"batch_fingerprint":"d09dc4091091078044ff9f2ce44121b841966c3f209ed680dfd7fc58463c7c7f","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":3,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037931.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37931","reason":"source_exact_declaration"}],"proofs":3,"published_proofs":3,"published_transitions":19,"replay_failures":[],"trace_mode":"individual","transitions":19,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37928","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37929","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37930"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037928.lean\",\"44bc97aa5fe73457f006d70ed49017cfec2075bed1bcc60ded415838cdd73aab\",0,\"qwen\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037929.lean\",\"c7efd03b3518cb962ab9871460d02f2ff2557049728492b0e5ec7a4af131de78\",0,\"min_value\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037930.lean\",\"17a30dcbe8eefc047133bc70bd55ec40f7fd4c42c668236285aa99ad259775e8\",0,\"min_value\"]"],"shards":[{"bytes":799885,"path":"data/train/pfd/oproofs-s00001-g000037-0003-8f7ffbbf74fb7706.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":32,"row_start":13,"rows":19,"sha256":"8f7ffbbf74fb77060e7ce31756979ed082140b6335a020fd33c21e32b9d5897f"}]},"oproofs/s00001-r00037932-n000004":{"batch":"oproofs/s00001-r00037932-n000004","batch_fingerprint":"d3e9eb91c207fbea0bd81a3245d508d35fc3bcf64e68a0e90f3feef71121f6d4","evidence":{"batch_fingerprint":"d3e9eb91c207fbea0bd81a3245d508d35fc3bcf64e68a0e90f3feef71121f6d4","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037933.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37933","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037934.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37934","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037935.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37935","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37932"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037932.lean\",\"b9ba8a87309f1d218093af74375f6691725fb3b5900c3ad06a5f7341c9e09435\",0,\"Tendsto\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":29,"row_start":27,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037936-n000004":{"batch":"oproofs/s00001-r00037936-n000004","batch_fingerprint":"1411bc1b8944e5640f894cf07d0f6cd7f170a3e369242e1c68c125d657cf31fa","evidence":{"batch_fingerprint":"1411bc1b8944e5640f894cf07d0f6cd7f170a3e369242e1c68c125d657cf31fa","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037936.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37936","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037938.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37938","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037939.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37939","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":4,"replay_failures":[],"trace_mode":"individual","transitions":4,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37937"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037937.lean\",\"d64c21d5cae41bdfe0c238a829ec156d006e6590f5ae2c3714d22549d8c6cc6e\",0,\"qwen\"]"],"shards":[{"bytes":192489,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-3f5721063aeb1c97.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":11,"row_start":7,"rows":4,"sha256":"3f5721063aeb1c97c2bb6a4ce6c998424e686473a1a0435d3a86993e65e003b3"}]},"oproofs/s00001-r00037940-n000004":{"batch":"oproofs/s00001-r00037940-n000004","batch_fingerprint":"80d46a100d081ae7fe46e311915f133ea73a69a66f793459fcf34f9fdd21c5e0","evidence":{"batch_fingerprint":"80d46a100d081ae7fe46e311915f133ea73a69a66f793459fcf34f9fdd21c5e0","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037940.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37940","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037943.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37943","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":6,"replay_failures":[],"trace_mode":"individual","transitions":6,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37941","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37942"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037941.lean\",\"1ca5e4c9c1e6e1ef7b85d0d857e8c0d1b12b1c58aed6760f1c7842a785154b7f\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037942.lean\",\"138a5f85a1cea86291863b124f5e9830f23c817aa01c3f65360bcac551b8376c\",0,\"seqConv\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":35,"row_start":29,"rows":6,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037944-n000004":{"batch":"oproofs/s00001-r00037944-n000004","batch_fingerprint":"8b788b6782e8dfcc6e544e51f8d3c3045da9890f545730003eb3e4fdd376d240","evidence":{"batch_fingerprint":"8b788b6782e8dfcc6e544e51f8d3c3045da9890f545730003eb3e4fdd376d240","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037944.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37944","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037946.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37946","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037947.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37947","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":4,"replay_failures":[],"trace_mode":"individual","transitions":4,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37945"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037945.lean\",\"f2e839e3256fec3b2c8cda603dc7e3356d71ea9b94d99b6b86b93212accb7f8c\",0,\"max\"]"],"shards":[{"bytes":890290,"path":"data/train/pfd/oproofs-s00001-g000037-0000-8463a1a0cf47b4e5.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":4,"row_start":0,"rows":4,"sha256":"8463a1a0cf47b4e5eb24000c111b87f24af02f4396f75a0210502253d4da5e53"}]},"oproofs/s00001-r00037952-n000004":{"batch":"oproofs/s00001-r00037952-n000004","batch_fingerprint":"373a27df7642660350fd8d02f55b198733c127a888f727701d3b13b5e01ad10b","evidence":{"batch_fingerprint":"373a27df7642660350fd8d02f55b198733c127a888f727701d3b13b5e01ad10b","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":3,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037952.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37952","reason":"source_exact_declaration"}],"proofs":3,"published_proofs":3,"published_transitions":14,"replay_failures":[],"trace_mode":"individual","transitions":14,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37953","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37954","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37955"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037953.lean\",\"cf50f859fd95e1446f599d8accc44fcb88a95cbd17d00af3812202071f762ec5\",0,\"sum_series\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037954.lean\",\"999e3271270592b59c0394cc99846907571f5b60e5a243381625bcef1d6d73e7\",0,\"algebra_437576\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037955.lean\",\"d8f5d9cbafcdcf37e2faa876ed356c352fc46cefae800fd31a33203b7ed58e04\",0,\"Matrix_det\"]"],"shards":[{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":30,"row_start":16,"rows":14,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"}]},"oproofs/s00001-r00037960-n000004":{"batch":"oproofs/s00001-r00037960-n000004","batch_fingerprint":"75b7c89bd8fd6ed8d3978f0581434e3e6b948c9a9dd9f946a58138b11e4cc661","evidence":{"batch_fingerprint":"75b7c89bd8fd6ed8d3978f0581434e3e6b948c9a9dd9f946a58138b11e4cc661","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037960.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37960","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037961.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37961","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037963.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37963","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37962"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037962.lean\",\"6985fd2b9021b6824e49981d2b9b5b27cc396ca70a46024b363510e70ca6b4e6\",0,\"MatrixSquareIsDiagonalable\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":48,"row_start":46,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037964-n000004":{"batch":"oproofs/s00001-r00037964-n000004","batch_fingerprint":"3ba6c474b876b61500b30c0f1becf5e4243ec8df5ce703e46114b6be0147fd8d","evidence":{"batch_fingerprint":"3ba6c474b876b61500b30c0f1becf5e4243ec8df5ce703e46114b6be0147fd8d","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037964.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37964","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037965.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37965","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037966.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37966","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":2,"replay_failures":[],"trace_mode":"individual","transitions":2,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37967"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037967.lean\",\"9312b2601589cba3295eb425c2e59693c646807d47023cbdf9333b88aac5122e\",0,\"isCompactProduct\"]"],"shards":[{"bytes":854159,"path":"data/train/pfd/oproofs-s00001-g000037-0000-cf3002f4d11e428b.parquet","revision":"9f08e49087127fffe870935a9c8e2500e21d4e64","row_end":50,"row_start":48,"rows":2,"sha256":"cf3002f4d11e428b7a0a0a19958f09319475ff396c92e677da0c9c3b305bb144"}]},"oproofs/s00001-r00037968-n000004":{"batch":"oproofs/s00001-r00037968-n000004","batch_fingerprint":"0058cfd4e4038f30dcab2c74e9300aa245d3716984d72076eb0b5ba929c20296","evidence":{"batch_fingerprint":"0058cfd4e4038f30dcab2c74e9300aa245d3716984d72076eb0b5ba929c20296","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037968.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37968","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037970.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37970","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00037971.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37971","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":4,"replay_failures":[],"trace_mode":"individual","transitions":4,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37969"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037969.lean\",\"914d307a8a19da9e65ff39786befc5c2864276826c71fb84e58d7c8c52a3dcc2\",0,\"evaluate\"]"],"shards":[{"bytes":890290,"path":"data/train/pfd/oproofs-s00001-g000037-0000-8463a1a0cf47b4e5.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":27,"row_start":23,"rows":4,"sha256":"8463a1a0cf47b4e5eb24000c111b87f24af02f4396f75a0210502253d4da5e53"}]},"oproofs/s00001-r00037984-n000004":{"batch":"oproofs/s00001-r00037984-n000004","batch_fingerprint":"1989e2b3e2e1c1e390fc921dd70073605693a8cadc101c30a00f3ae60533b76f","evidence":{"batch_fingerprint":"1989e2b3e2e1c1e390fc921dd70073605693a8cadc101c30a00f3ae60533b76f","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":4,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[],"proofs":4,"published_proofs":4,"published_transitions":19,"replay_failures":[],"trace_mode":"individual","transitions":19,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37984","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37985","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37986","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37987"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037984.lean\",\"171be4447b495143d99b949b8ef1f990edd7acd9f4405ec14d5d31f13429fa20\",0,\"prove\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037985.lean\",\"0f7c95a3c7a6b7d12bde5465a62ed6d943390debb9a030e8e9d8da0fa0e8838c\",0,\"max_nonneg_not_formable\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037986.lean\",\"13323d4c5082d223d08f8edcbb2a6ba9cf284b3e73dbab6a777e933e75ae95e8\",0,\"probability\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037987.lean\",\"2da8e6ad39e6fdf06ab13cb4ec395ac114f6ff0a9a5bbb2985cfc8e33a73c55e\",0,\"algebraic\"]"],"shards":[{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":53,"row_start":47,"rows":6,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"},{"bytes":799885,"path":"data/train/pfd/oproofs-s00001-g000037-0003-8f7ffbbf74fb7706.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":13,"row_start":0,"rows":13,"sha256":"8f7ffbbf74fb77060e7ce31756979ed082140b6335a020fd33c21e32b9d5897f"}]},"oproofs/s00001-r00037996-n000004":{"batch":"oproofs/s00001-r00037996-n000004","batch_fingerprint":"c04eb54fe2fed9b82c290beeae9aa62214635237248bc6a77732e207b6f2586f","evidence":{"batch_fingerprint":"c04eb54fe2fed9b82c290beeae9aa62214635237248bc6a77732e207b6f2586f","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[{"file_path":"Full/Proof_00037997.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37997","reason":"no_proof_declaration","selection":{"file_path":"Full/Proof_00037997.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37997","index":37997,"metadata":{"source_dataset":"oproofs","source_internal_duplicate":false,"source_row":37997,"source_shard":1,"source_statement_fingerprint":"457fe7899b62aef7817f095ff17a47c9d6b2c4dd7c613202b977d317eef8c613"},"source_sha256":"7019e50900f4c6b31fc73d3942d8f4ab72999509f4ef4602ec3707c4f798a9e2"},"source_file":"Full/Proof_00037997.lean"}],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00037996.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37996","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":12,"replay_failures":[],"trace_mode":"individual","transitions":12,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37998","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:37999"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037998.lean\",\"a57bcd0562f281669af072249b8e1b7b3dcc803baa3fb3a34bbaf590d98b8655\",0,\"max\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00037999.lean\",\"815b242971ee81333eceef4e16520bd6ddacd72857070746754b423d19d31568\",0,\"prove\"]"],"shards":[{"bytes":854950,"path":"data/train/pfd/oproofs-s00001-g000037-0004-b93242f85cad33a7.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":11,"row_start":4,"rows":7,"sha256":"b93242f85cad33a720678b8f45fdc357d79226b753ab6cede7f83211013dfdcb"},{"bytes":323511,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-bd4444fe1a7a0886.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":18,"row_start":13,"rows":5,"sha256":"bd4444fe1a7a0886f03920e7abfcb79eb23c0e2592f531b284c1a0b6b99b8f7b"}]},"oproofs/s00001-r00038004-n000004":{"batch":"oproofs/s00001-r00038004-n000004","batch_fingerprint":"d93a802333d792f4d0503352401ec815f74321738acbce65b1cd6ee9b4a33096","evidence":{"batch_fingerprint":"d93a802333d792f4d0503352401ec815f74321738acbce65b1cd6ee9b4a33096","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038004.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38004","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038005.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38005","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038006.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38006","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":4,"replay_failures":[],"trace_mode":"individual","transitions":4,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38007"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038007.lean\",\"7e1ff9805749e573abafb1aa50afcf76532b3f863d985fbc0b995b2d6af02f93\",0,\"prove\"]"],"shards":[{"bytes":752968,"path":"data/train/pfd/oproofs-s00001-g000037-0001-079e47966ebea4fe.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":5,"row_start":4,"rows":1,"sha256":"079e47966ebea4fe6eb20f664bce633da9606f44c8287a01f3548e40bff017d7"},{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":3,"row_start":0,"rows":3,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"}]},"oproofs/s00001-r00038012-n000004":{"batch":"oproofs/s00001-r00038012-n000004","batch_fingerprint":"461832bc78d62f6741e8af05f2b450443c1d5d557223bada9ea70ce6f959afa3","evidence":{"batch_fingerprint":"461832bc78d62f6741e8af05f2b450443c1d5d557223bada9ea70ce6f959afa3","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038014.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38014","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038015.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38015","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":12,"replay_failures":[],"trace_mode":"individual","transitions":12,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38012","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38013"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038012.lean\",\"04c63ce95d3f179436b6ef4a7943663419024b45a5c56672a18275ab3fd7e833\",0,\"prove\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038013.lean\",\"04fb908c2425f331cc36430d643b14bdb961f94b6e4c6614f2b56f30181be04e\",0,\"prove\"]"],"shards":[{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":10,"row_start":3,"rows":7,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"},{"bytes":323511,"path":"data/internal_test/pfd/oproofs-s00001-g000037-0000-bd4444fe1a7a0886.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":13,"row_start":8,"rows":5,"sha256":"bd4444fe1a7a0886f03920e7abfcb79eb23c0e2592f531b284c1a0b6b99b8f7b"}]},"oproofs/s00001-r00038020-n000004":{"batch":"oproofs/s00001-r00038020-n000004","batch_fingerprint":"a2ccce57fe72ee59400968e13bc4223a6c0f5515e36bfdff95bc79ceee4aec32","evidence":{"batch_fingerprint":"a2ccce57fe72ee59400968e13bc4223a6c0f5515e36bfdff95bc79ceee4aec32","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":3,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038023.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38023","reason":"source_exact_declaration"}],"proofs":3,"published_proofs":3,"published_transitions":17,"replay_failures":[],"trace_mode":"individual","transitions":17,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38020","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38021","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38022"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038020.lean\",\"f739e302b8fa86176cb5b519e79487474b2fd4c3b2d56d8dd6aec54c5978b0df\",0,\"round_robbins\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038021.lean\",\"5725b50c2166aef218422a7b61d093742debcf2cea51c88bed478915d44cf72b\",0,\"Tendsto\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038022.lean\",\"539396793d722e0f9384b1392dfeecf030ede6b13295e246fb9677bbe8afcfe3\",0,\"dist\"]"],"shards":[{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":47,"row_start":30,"rows":17,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"}]},"oproofs/s00001-r00038028-n000004":{"batch":"oproofs/s00001-r00038028-n000004","batch_fingerprint":"b0a19212a1a2a8d657cd927df4b44963690bf7cd4411035874c2cc4d97b82f3c","evidence":{"batch_fingerprint":"b0a19212a1a2a8d657cd927df4b44963690bf7cd4411035874c2cc4d97b82f3c","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038028.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38028","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038030.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38030","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":6,"replay_failures":[],"trace_mode":"individual","transitions":6,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38029","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38031"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038029.lean\",\"097b4c6b2ab7abcdac494a52f0cc9198e1e3748b652e9c2492a834a4e4d3f333\",0,\"prove\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038031.lean\",\"2e62af8b96c2d878ef45210eee338e5f347b57b63a14bed1177edd96b86e8ca3\",0,\"min\"]"],"shards":[{"bytes":884249,"path":"data/train/pfd/oproofs-s00001-g000037-0002-779adea8ac4cbe40.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":16,"row_start":10,"rows":6,"sha256":"779adea8ac4cbe4053b2193e2cf16bdec1eb2089bf630c6e52e39d53bb5708d5"}]},"oproofs/s00001-r00038036-n000004":{"batch":"oproofs/s00001-r00038036-n000004","batch_fingerprint":"f6a07a9775497d83e181a364c6b81c9d96b0fb643f8f32280a46ce4d7749deaa","evidence":{"batch_fingerprint":"f6a07a9775497d83e181a364c6b81c9d96b0fb643f8f32280a46ce4d7749deaa","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":0,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038036.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38036","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038037.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38037","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038038.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38038","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038039.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38039","reason":"source_exact_declaration"}],"proofs":[],"published_proofs":0,"published_transitions":0,"replay_failures":[],"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":[],"proof_keys":[],"shards":[]},"oproofs/s00001-r00038040-n000004":{"batch":"oproofs/s00001-r00038040-n000004","batch_fingerprint":"0a6f70f90498dd2749f638d4f670bea175b9c2e0787d3823f0282a9bf29dcdf2","evidence":{"batch_fingerprint":"0a6f70f90498dd2749f638d4f670bea175b9c2e0787d3823f0282a9bf29dcdf2","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":2,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038040.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38040","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038041.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38041","reason":"source_exact_declaration"}],"proofs":2,"published_proofs":2,"published_transitions":6,"replay_failures":[],"trace_mode":"individual","transitions":6,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38042","oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38043"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038042.lean\",\"ccbdcd6d9501c47e029c0356ce2a12338482ba5da6ba8df02bc9e7b615ca8eab\",0,\"prob\"]","[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038043.lean\",\"2324d1706aaafd96e009dee9eb2fc636e52f55752ac5a5408f0aa61cb2bf0dd4\",0,\"probability_jane_win\"]"],"shards":[{"bytes":799885,"path":"data/train/pfd/oproofs-s00001-g000037-0003-8f7ffbbf74fb7706.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":37,"row_start":35,"rows":2,"sha256":"8f7ffbbf74fb77060e7ce31756979ed082140b6335a020fd33c21e32b9d5897f"},{"bytes":854950,"path":"data/train/pfd/oproofs-s00001-g000037-0004-b93242f85cad33a7.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":4,"row_start":0,"rows":4,"sha256":"b93242f85cad33a720678b8f45fdc357d79226b753ab6cede7f83211013dfdcb"}]},"oproofs/s00001-r00038048-n000004":{"batch":"oproofs/s00001-r00038048-n000004","batch_fingerprint":"3a801ff0ba0fcf368bdf19e1f8ab0c50d0d44211b2815be2820cbe6b970b9293","evidence":{"batch_fingerprint":"3a801ff0ba0fcf368bdf19e1f8ab0c50d0d44211b2815be2820cbe6b970b9293","contamination_matches":[],"corpus_duplicate_proofs":[],"failures":[],"input_proofs":4,"input_units":1,"pretrace_duplicate_proofs":[],"pretrace_source_duplicate_proofs":[{"file_path":"Full/Proof_00038048.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38048","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038050.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38050","reason":"source_exact_declaration"},{"file_path":"Full/Proof_00038051.lean","id":"oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38051","reason":"source_exact_declaration"}],"proofs":1,"published_proofs":1,"published_transitions":3,"replay_failures":[],"trace_mode":"individual","transitions":3,"validation_failures":[],"validation_rejected_proofs":0,"zero_transition_proofs":0},"format":"leangpt-parquet-v3","proof_ids":["oproofs:oproofs:3bae0c06157639c0a673679635c669d19c99e906:1:38049"],"proof_keys":["[\"oproofs\",\"3bae0c06157639c0a673679635c669d19c99e906\",\"Full/Proof_00038049.lean\",\"50c0a864afae221a2d7f340450d0db272f21c0aee3b3860a47670cd21b84e15d\",0,\"number_of_divisors\"]"],"shards":[{"bytes":799885,"path":"data/train/pfd/oproofs-s00001-g000037-0003-8f7ffbbf74fb7706.parquet","revision":"8e669a8ca1878da47b95d384b020a35450da95b2","row_end":35,"row_start":32,"rows":3,"sha256":"8f7ffbbf74fb77060e7ce31756979ed082140b6335a020fd33c21e32b9d5897f"}]}},"format":"leangpt-oproofs-batch-group-v1"}