{"id":"https://openalex.org/W7166676332","doi":"https://doi.org/10.48550/arxiv.2606.29493","title":"Faults in Our Formal Benchmarking: Dataset Defects and Evaluation Failures in Lean Theorem Proving","display_name":"Faults in Our Formal Benchmarking: Dataset Defects and Evaluation Failures in Lean Theorem Proving","publication_year":2026,"publication_date":"2026-06-28","ids":{"openalex":"https://openalex.org/W7166676332","doi":"https://doi.org/10.48550/arxiv.2606.29493"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.29493","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.29493","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.29493","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087801436","display_name":"Pawan Sasanka Ammanamanchi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ammanamanchi, Pawan Sasanka","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139695778","display_name":"Siddharth Bhat","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhat, Siddharth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5139659823","display_name":"Stella Biderman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Biderman, Stella","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.23019999265670776,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.23019999265670776,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.06560000032186508,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.060499999672174454,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.6656000018119812},{"id":"https://openalex.org/keywords/audit","display_name":"Audit","score":0.5637999773025513},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.5015000104904175},{"id":"https://openalex.org/keywords/suite","display_name":"Suite","score":0.47519999742507935},{"id":"https://openalex.org/keywords/certification","display_name":"Certification","score":0.4699999988079071},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.4512999951839447},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.44940000772476196},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.3955000042915344},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.3605000078678131}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6901000142097473},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.6656000018119812},{"id":"https://openalex.org/C199521495","wikidata":"https://www.wikidata.org/wiki/Q181487","display_name":"Audit","level":2,"score":0.5637999773025513},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.5015000104904175},{"id":"https://openalex.org/C79581498","wikidata":"https://www.wikidata.org/wiki/Q1367530","display_name":"Suite","level":2,"score":0.47519999742507935},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.4512999951839447},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.42590001225471497},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.3955000042915344},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3652999997138977},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36160001158714294},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35040000081062317},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.3361999988555908},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C151552104","wikidata":"https://www.wikidata.org/wiki/Q7705809","display_name":"Test suite","level":4,"score":0.32339999079704285},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.3084000051021576},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C116253237","wikidata":"https://www.wikidata.org/wiki/Q1437424","display_name":"Formal specification","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C75606506","wikidata":"https://www.wikidata.org/wiki/Q1049183","display_name":"Formal methods","level":2,"score":0.28619998693466187},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.28060001134872437},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27230000495910645},{"id":"https://openalex.org/C56666940","wikidata":"https://www.wikidata.org/wiki/Q788790","display_name":"Documentation","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.29493","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.29493","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.29493","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.29493","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5529977679252625,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Benchmarks":[0],"for":[1],"LLM-assisted":[2],"theorem":[3],"proving":[4],"in":[5],"Lean":[6,63],"are":[7,51,174],"often":[8],"treated":[9],"as":[10,83,96],"intrinsically":[11],"reliable":[12],"because":[13],"every":[14],"solved":[15],"instance":[16],"comes":[17],"with":[18],"a":[19,28,31,134,137],"machine-checked":[20],"proof.":[21],"However,":[22],"the":[23,39,43,152],"kernel":[24],"only":[25],"checks":[26],"that":[27,38,48,122],"proof":[29],"establishes":[30],"\\emph{formal}":[32],"statement;":[33],"it":[34],"does":[35],"not":[36],"verify":[37],"statement":[40],"faithfully":[41],"encodes":[42],"intended":[44],"informal":[45],"problem,":[46],"nor":[47],"evaluation":[49,161],"harnesses":[50],"robust":[52],"to":[53,73,150,159],"trivial":[54],"or":[55,102],"adversarial":[56],"solutions.":[57],"We":[58,90,132],"audit":[59,145,168],"five":[60],"widely":[61],"used":[62],"theorem-proving":[64],"benchmarks":[65],"and":[66,87,105,117,127,142,147,158,164,170],"their":[67],"forks,":[68],"using":[69],"corpus-scale":[70],"static":[71],"checkers":[72,141],"surface":[74],"4,833":[75],"findings,":[76],"including":[77],"398":[78],"mechanically":[79],"certified":[80],"issues":[81],"such":[82,95],"counterexamples,":[84],"vacuous":[85],"theorems,":[86],"unsound":[88],"axioms.":[89],"also":[91],"document":[92],"semantic":[93,144],"defects":[94,123],"missing":[97],"hypotheses,":[98],"problem":[99],"simplification,":[100],"incomplete":[101],"incorrect":[103],"translations,":[104],"Lean-specific":[106],"specification":[107],"hazards.":[108],"Beyond":[109],"dataset":[110,172],"construction,":[111],"we":[112],"survey":[113],"evaluation-time":[114],"failure":[115],"modes":[116],"show,":[118],"on":[119],"corrected":[120,171],"subsets,":[121],"can":[124],"both":[125],"inflate":[126],"deflate":[128],"reported":[129],"prover":[130],"scores.":[131],"propose":[133],"fault":[135],"taxonomy,":[136],"suite":[138],"of":[139,154],"automated":[140],"recall-oriented":[143],"prompts,":[146,169],"release":[148],"standards":[149],"guide":[151],"creation":[153],"formal":[155],"math":[156],"datasets":[157],"make":[160],"more":[162],"reproducible":[163],"trustworthy.":[165],"Our":[166],"checkers,":[167],"snapshots":[173],"available":[175],"at":[176],"https://github.com/Shashi456/atp-checkers.":[177]},"counts_by_year":[],"updated_date":"2026-07-01T06:29:00.853634","created_date":"2026-07-01T00:00:00"}