{ "what": "The replay of a third party's Lean proof that joins the two claimed refutations of the Exponential Time Hypothesis in the other direction from TSavo's: Daniel Hawkley's OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse : ¬ OAI.ParityWL.Complexity.PositiveRateETH → MainResults.ETHIsFalse (github.com/thinkthoughts/math @ d6b79b7d1, RPI-378.3d, a fork of openai/math: OpenAI ParityLifts' ETH predicate, negated, implies Anthropic's ETHIsFalse), built inside OpenAI's lean/ project at openai/math @ 7ef5c0cc, decided by tools/record-eth-hawkley.js from a GitHub-hosted run of .github/workflows/eth-hawkley.yml. CERTIFIED here means the statements are the two labs' own bytes (Anthropic's MainResults.lean byte for byte; OpenAI's ParityLifts definitions sliced byte for byte, checked against our pins), the theorem states exactly ¬ PositiveRateETH → ETHIsFalse, uses only propext, Classical.choice and Quot.sound, and two independently written kernels accept it. It does NOT mean that ETH is false, nor that OpenAI's checked theorem implies Anthropic's: the hypothesis is ParityLifts' predicate, whose link to OpenAI's checked statement is the claimant's separate, heavier theorem, not replayed here (gaps).", "campaign": "eth-refutation; the Hawkley bridge lane (the claim arrived by the site's contact form on 2026-11-03, pointing at formalize.now/378/); pins recorded before any run (corpus/eth-refutation/hawkley/pins.json)", "words": { "CERTIFIED": "git's facts hold; the statement checks pass on the run's bytes; lake update moved no pinned dependency; Comparator exit 0 with \"Your solution is okay!\"; Lean's kernel and nanoda both accept; lake build exit 0; #print axioms (our file) names only propext, Classical.choice, Quot.sound", "REFUTED": "a kernel rejects the solution, reproduced by a second run", "REFUSED": "no decision, with the exact reason (resources, a build failure, bytes differing from the pins, a statement check, a moved dependency, Comparator stopping on its own check, kernels disagreeing, or one kernel rejection not yet reproduced)" }, "claim": { "repository": "https://github.com/thinkthoughts/math", "forkOf": "https://github.com/openai/math", "commit": "d6b79b7d165f9e6bef6e033949e3f14e913efdaa", "commitDate": "2026-11-03T01:50:36Z", "author": "Dan With Glasses (Daniel Hawkley, formalize.now, per his message and his page)", "license": "Apache-2.0 (the repository's LICENSE, OpenAI's, unchanged; copied beside the bytes in src/)", "theorem": "OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse", "solutionModule": "OAI.Bridges.AnthropicETH.Main", "challengeModule": "ComparatorChallenges.AnthropicETHCrossFormalization", "config": { "challenge_module": "ComparatorChallenges.AnthropicETHCrossFormalization", "solution_module": "OAI.Bridges.AnthropicETH.Main", "theorem_names": [ "OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse" ], "definition_names": [], "permitted_axioms": [ "propext", "Quot.sound", "Classical.choice" ], "enable_nanoda": false }, "configSha256": "0a2c533ec9b447a9fa63fc6e2fb3e7c26b5d06c94406dfb64db35e94ee5ab311", "delta": { "added": [ "docs/RPI-378.3a_REPORT.md", "docs/RPI-378.3b_REPORT.md", "docs/RPI-378.3c_REPORT.md", "docs/RPI-378.3d_REPORT.md", "lean/ComparatorChallenges/AnthropicETHCrossFormalization.json", "lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean", "lean/ComparatorChallenges/AnthropicETHCrossFormalization/MainResults.lean", "lean/ComparatorChallenges/AnthropicETHCrossFormalization/ParityLifts.lean", "lean/OAI/Bridges/AnthropicETH/Asymptotics.lean", "lean/OAI/Bridges/AnthropicETH/Audit.lean", "lean/OAI/Bridges/AnthropicETH/Converter.lean", "lean/OAI/Bridges/AnthropicETH/Converter/Program.lean", "lean/OAI/Bridges/AnthropicETH/Converter/Spec.lean", "lean/OAI/Bridges/AnthropicETH/Lengths.lean", "lean/OAI/Bridges/AnthropicETH/Main.lean", "lean/OAI/Bridges/AnthropicETH/Reduction.lean", "lean/OAI/Bridges/AnthropicETH/Simulation.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Machine.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Run.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Steps.lean", "lean/OAI/Bridges/ETH/CanonicalCNF.lean", "lean/OAI/Bridges/ETH/CanonicalWord.lean", "lean/OAI/Bridges/ETH/Converter.lean", "lean/OAI/Bridges/ETH/ConverterInterface.lean", "lean/OAI/Bridges/ETH/ConverterPoly.lean", "lean/OAI/Bridges/ETH/ConverterSize.lean", "lean/OAI/Bridges/ETH/ConverterTime.lean", "lean/OAI/Bridges/ETH/DecodeProgram.lean", "lean/OAI/Bridges/ETH/FinalImplication.lean", "lean/OAI/Bridges/ETH/LexProgram.lean", "lean/OAI/Bridges/ETH/MachineInterface.lean", "lean/OAI/Bridges/ETH/MachineRunner.lean", "lean/OAI/Bridges/ETH/MachineRunnerCost.lean", "lean/OAI/Bridges/ETH/MachineTranslation.lean", "lean/OAI/Bridges/ETH/RuntimeAsymptotics.lean", "lean/OAI/Bridges/ETH/SerializeProgram.lean", "lean/OAI/Bridges/ETH/SortProgram.lean", "lean/Vendor/Anthropic/MainResults.lean", "lean/scripts/check_rpi378_challenge.py" ], "modified": [ "lean/lakefile.lean" ], "fileCount": 40 }, "commitsAhead": 21, "pinnedFiles": 41, "pinnedListSha256": "1fa0169395e88fc0fc02598ec87e9c321b02b149ec3cc1d42be40087fe3a23dd" }, "project": { "repository": "https://github.com/openai/math", "commit": "7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a", "toolchain": "leanprover/lean4:v4.34.1", "mathlib": "d13f23b723b8a846827a245b89c10fc7d3f11612", "lakefileChange": { "insertedAfterLine": 111, "lines": [ "-- RPI-378.3a: Anthropic's trusted statement file, copied byte for byte from", "-- anthropics/formal-math@16a5ce41304fcdaea4e0be7c132e1c361dc26da5:eth/MainResults.lean", "-- (SHA-256 47f78a9550d95b37d8718dd1ee16ae824da893a5e17c319f737e6d0a5ed24944).", "lean_lib MainResults where", " srcDir := \"Vendor/Anthropic\"", " roots := #[`MainResults]" ] } }, "word": "CERTIFIED", "why": "git's facts hold (HEAD at the pin, a clean tree, the diff against openai/math@7ef5c0cc naming exactly the pinned delta); the statement checks pass on the run's bytes; lake update moved no pinned dependency; Comparator exit 0 with \"Your solution is okay!\" on the claimant's config with nanoda on; Lean's kernel and nanoda both accept; lake build exit 0; the theorem's axioms are among propext, Classical.choice, Quot.sound", "stage": null, "gaps": [ "The hypothesis is ParityLifts' predicate, not OpenAI's checked statement. ¬ OAI.ParityWL.Complexity.PositiveRateETH is a definition of OpenAI's combinatorics library (lean/OAI/Combinatorics/ParityLifts/SATChoice.lean, lines 24–35, sliced into the challenge), while what OpenAI's release checks with Comparator is OAI.Algorithms.SubexponentialSAT.SqrtLogSpace.exact_count_and_sat (certs/eth-kernel.json). The link from OpenAI's theorem to ¬ PositiveRateETH is the claimant's SEPARATE theorem OAI.Bridges.ETH.not_positiveRateETH (lean/OAI/Bridges/ETH/FinalImplication.lean, his components A–C of 2026-11-01, commit 81ec97cd2 whose message says \"NOT built in this environment\"; his page says a later VPS build passed), which imports OpenAI's whole family-378 proof and is NOT replayed here (the hosted runner cannot hold that build: certs/openai-math-kernel-7ef5c0cc.json; a pod run is the operator's word). So this record, if CERTIFIED, decides ¬ PositiveRateETH → ETHIsFalse and nothing about ETH itself.", "nanoda is off in the claimant's shipped config (enable_nanoda: false, like every challenge of openai/math); this replay turns it on, its one declared change, so both kernels decide here. The claimant reports nanoda aborting inside Comparator on a 32 MB thread stack in his harness and a standalone nanoda acceptance with a 1 GiB stack; here nanoda runs inside Comparator with the eth-kernel lane's 1 GiB-stack build.", "The claimant states three qualifications of his own harness run (Landlock ABI v7 with an older landrun 3ee150a, no systemd-run wrapper, nanoda's stack); none applies here (landrun 811cfff5 as the eth-kernel lane pins it, the runner's LSM list in machine.txt), and his VPS run is his own report, not read here.", "Independence of the proof from both labs' results is the claimant's claim, checked by his Audit.lean at constant level; here it is checked at the import level only (tools/eth-hawkley-gates.js closure: the solution reaches OAI.Combinatorics.ParityLifts.SATChoice and Mathlib, nothing under OAI.Algorithms or OAI.Bridges.ETH) and by Comparator's own statement comparison; his Audit module is not built here.", "Anthropic's MainResults.lean is vendored into OpenAI's project and re-elaborated on Lean v4.34.1 with Mathlib d13f23b7, while Anthropic proved ETHIsFalse on Lean v4.33.1 with Mathlib 0df444a3 (certs/eth-kernel.json): the bytes are the same (the gates), the elaborated terms are not compared here — the same seam certs/eth-seam.json measured for the TSavo bridge, in the other direction.", "leanchecker --fresh was not run on this theorem; the rule stands on Lean's kernel and nanoda inside Comparator.", "Mentions of forbidden words inside comments (facts, not holes): lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean (sorry ×1)." ], "closes": "What the theorem moves out of prose, if CERTIFIED: a Lean proof that ParityLifts' multitape machines run on Mathlib's FinTM2 within a linear number of steps (his simulationHypothesis_proved) and that Anthropic's input word encClauses converts into ParityLifts' encodeFormula within a polynomial of one fixed degree (his converterHypothesis_proved), so that one machine per rate on OpenAI's side becomes one machine per rate on Anthropic's. What stays prose: that OpenAI's checked theorem gives ¬ PositiveRateETH (his separate bridge, not replayed), and Anthropic's own step from FinTM2 on encClauses to the textbook hypothesis (corpus/eth-refutation/readings/), the step certs/eth-bridge.json also leaves to prose.", "statementChecks": { "git": { "head": "d6b79b7d165f9e6bef6e033949e3f14e913efdaa", "baseAncestor": true, "cleanBefore": true, "deltaByGit": { "ok": true, "pinned": 40, "gitDiff": 40, "missing": [], "extra": [] }, "statusAfter": [ "?? lean/AuditAxiomsHawkley.lean", "?? lean/audit-config-hawkley.json" ], "deltaBytesUnchangedAfter": true }, "tree": { "files": 41, "pinned": 41, "clone": false, "ok": true }, "cloneBase": { "lean/OAI/Combinatorics/ParityLifts/Machines.lean": { "pinned": "d9ff69d594e31cdb4b84bab1a12333e238eb56a1ba439618464baf52cc8566f6", "got": "d9ff69d594e31cdb4b84bab1a12333e238eb56a1ba439618464baf52cc8566f6" }, "lean/OAI/Combinatorics/ParityLifts/SAT.lean": { "pinned": "42f682a64f54e5dc92c485eeb641a04d0a66f0fb0e1c067ce5ec16b7340059e6", "got": "42f682a64f54e5dc92c485eeb641a04d0a66f0fb0e1c067ce5ec16b7340059e6" }, "lean/OAI/Combinatorics/ParityLifts/SATChoice.lean": { "pinned": "2209014df8f6a033d4453a13cd135aa8a44c3599f16167395067ab8f44fd0bfd", "got": "2209014df8f6a033d4453a13cd135aa8a44c3599f16167395067ab8f44fd0bfd" }, "LICENSE": { "pinned": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", "got": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" } }, "mainResults": { "pinned": "47f78a9550d95b37d8718dd1ee16ae824da893a5e17c319f737e6d0a5ed24944", "copies": { "lean/Vendor/Anthropic/MainResults.lean": "47f78a9550d95b37d8718dd1ee16ae824da893a5e17c319f737e6d0a5ed24944", "lean/ComparatorChallenges/AnthropicETHCrossFormalization/MainResults.lean": "47f78a9550d95b37d8718dd1ee16ae824da893a5e17c319f737e6d0a5ed24944" } }, "slices": { "file": "lean/ComparatorChallenges/AnthropicETHCrossFormalization/ParityLifts.lean", "expectedSha256": "811aefa8e59f2489a637b4d8ef178227bf48dca099422e31da47f2df9c18d24a", "gotSha256": "811aefa8e59f2489a637b4d8ef178227bf48dca099422e31da47f2df9c18d24a", "slices": [ { "file": "lean/OAI/Combinatorics/ParityLifts/Machines.lean", "lines": "5-69", "baseSha256": "d9ff69d594e31cdb4b84bab1a12333e238eb56a1ba439618464baf52cc8566f6" }, { "file": "lean/OAI/Combinatorics/ParityLifts/SAT.lean", "lines": "5-35", "baseSha256": "42f682a64f54e5dc92c485eeb641a04d0a66f0fb0e1c067ce5ec16b7340059e6" }, { "file": "lean/OAI/Combinatorics/ParityLifts/SATChoice.lean", "lines": "24-35", "baseSha256": "2209014df8f6a033d4453a13cd135aa8a44c3599f16167395067ab8f44fd0bfd" } ], "ok": true }, "challenge": { "file": "lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean", "text": "import ComparatorChallenges.AnthropicETHCrossFormalization.ParityLifts import ComparatorChallenges.AnthropicETHCrossFormalization.MainResults theorem OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse : ¬ OAI.ParityWL.Complexity.PositiveRateETH → MainResults.ETHIsFalse := by sorry", "expected": "import ComparatorChallenges.AnthropicETHCrossFormalization.ParityLifts import ComparatorChallenges.AnthropicETHCrossFormalization.MainResults theorem OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse : ¬ OAI.ParityWL.Complexity.PositiveRateETH → MainResults.ETHIsFalse := by sorry", "ok": true }, "config": { "ok": true, "shipped": { "challenge_module": "ComparatorChallenges.AnthropicETHCrossFormalization", "solution_module": "OAI.Bridges.AnthropicETH.Main", "theorem_names": [ "OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse" ], "definition_names": [], "permitted_axioms": [ "propext", "Quot.sound", "Classical.choice" ], "enable_nanoda": false }, "ran": { "challenge_module": "ComparatorChallenges.AnthropicETHCrossFormalization", "solution_module": "OAI.Bridges.AnthropicETH.Main", "theorem_names": [ "OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse" ], "definition_names": [], "permitted_axioms": [ "propext", "Quot.sound", "Classical.choice" ], "enable_nanoda": true } }, "census": { "leanFiles": [ "lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean", "lean/ComparatorChallenges/AnthropicETHCrossFormalization/MainResults.lean", "lean/ComparatorChallenges/AnthropicETHCrossFormalization/ParityLifts.lean", "lean/OAI/Bridges/AnthropicETH/Asymptotics.lean", "lean/OAI/Bridges/AnthropicETH/Audit.lean", "lean/OAI/Bridges/AnthropicETH/Converter.lean", "lean/OAI/Bridges/AnthropicETH/Converter/Program.lean", "lean/OAI/Bridges/AnthropicETH/Converter/Spec.lean", "lean/OAI/Bridges/AnthropicETH/Lengths.lean", "lean/OAI/Bridges/AnthropicETH/Main.lean", "lean/OAI/Bridges/AnthropicETH/Reduction.lean", "lean/OAI/Bridges/AnthropicETH/Simulation.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Machine.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Run.lean", "lean/OAI/Bridges/AnthropicETH/Simulation/Steps.lean", "lean/OAI/Bridges/ETH/CanonicalCNF.lean", "lean/OAI/Bridges/ETH/CanonicalWord.lean", "lean/OAI/Bridges/ETH/Converter.lean", "lean/OAI/Bridges/ETH/ConverterInterface.lean", "lean/OAI/Bridges/ETH/ConverterPoly.lean", "lean/OAI/Bridges/ETH/ConverterSize.lean", "lean/OAI/Bridges/ETH/ConverterTime.lean", "lean/OAI/Bridges/ETH/DecodeProgram.lean", "lean/OAI/Bridges/ETH/FinalImplication.lean", "lean/OAI/Bridges/ETH/LexProgram.lean", "lean/OAI/Bridges/ETH/MachineInterface.lean", "lean/OAI/Bridges/ETH/MachineRunner.lean", "lean/OAI/Bridges/ETH/MachineRunnerCost.lean", "lean/OAI/Bridges/ETH/MachineTranslation.lean", "lean/OAI/Bridges/ETH/RuntimeAsymptotics.lean", "lean/OAI/Bridges/ETH/SerializeProgram.lean", "lean/OAI/Bridges/ETH/SortProgram.lean", "lean/Vendor/Anthropic/MainResults.lean" ], "forbiddenOutsideComments": [], "challengeHole": [ { "file": "lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean", "line": 25, "what": "sorry" } ], "mentionsInComments": [ { "file": "lean/ComparatorChallenges/AnthropicETHCrossFormalization.lean", "what": "sorry", "count": 1 } ] }, "lakefile": { "basePinned": "fc590a5d14923f79e71ea80e29efd42950bb3ec051481b5209157f0a01f63de1", "forkSha256": "a064a6092f9015183af7e1ca8ca6865cc38fb289abb3069e3ae49ca492d86933", "insertedAfterLine": 111, "block": [ "-- RPI-378.3a: Anthropic's trusted statement file, copied byte for byte from", "-- anthropics/formal-math@16a5ce41304fcdaea4e0be7c132e1c361dc26da5:eth/MainResults.lean", "-- (SHA-256 47f78a9550d95b37d8718dd1ee16ae824da893a5e17c319f737e6d0a5ed24944).", "lean_lib MainResults where", " srcDir := \"Vendor/Anthropic\"", " roots := #[`MainResults]" ], "pinnedBlockAgrees": true, "ok": true }, "closure": { "solution": "OAI.Bridges.AnthropicETH.Main", "internalModules": [ "MainResults", "OAI.Bridges.AnthropicETH.Asymptotics", "OAI.Bridges.AnthropicETH.Converter", "OAI.Bridges.AnthropicETH.Converter.Program", "OAI.Bridges.AnthropicETH.Converter.Spec", "OAI.Bridges.AnthropicETH.Lengths", "OAI.Bridges.AnthropicETH.Main", "OAI.Bridges.AnthropicETH.Reduction", "OAI.Bridges.AnthropicETH.Simulation", "OAI.Bridges.AnthropicETH.Simulation.Machine", "OAI.Bridges.AnthropicETH.Simulation.Run", "OAI.Bridges.AnthropicETH.Simulation.Steps" ], "internalCount": 12, "external": [ "Mathlib", "OAI.Combinatorics.ParityLifts.SATChoice" ], "externalRoots": [ "Mathlib", "OAI" ], "openaiModules": [ "OAI.Combinatorics.ParityLifts.SATChoice" ], "forbidden": [], "vendoredMainResults": true }, "controls": "every red control refused by the check it targets; the clean copy passes (controls-gate.txt)" }, "dependencies": { "manifestChecked": true, "mathlib": "d13f23b723b8a846827a245b89c10fc7d3f11612" }, "comparator": { "exit": 0, "okay": true, "kernels": [ "Lean default kernel accepts the solution", "nanoda kernel accepts the solution" ], "stages": [ "Building ComparatorChallenges.AnthropicETHCrossFormalization", "Exporting #[Quot, Quot.mk, Quot.lift, Quot.ind, OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse, propext, Quot.sound, Classical.choice, Nat.add, Nat.sub, Nat.mul, Nat.pow, Nat.gcd, Nat.div, Nat.mod, Nat.beq, Nat.ble, Nat.land, Nat.lor, Nat.xor, Nat.shiftLeft, Nat.shiftRight, String.ofList, Char.ofNat, List, eagerReduce, Nat, String, String.mk, Char, optParam, autoParam, semiOutParam, outParam] from ComparatorChallenges.AnthropicETHCrossFormalization", "Building OAI.Bridges.AnthropicETH.Main", "Exporting #[Quot, Quot.mk, Quot.lift, Quot.ind, OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse, propext, Quot.sound, Classical.choice, Nat.add, Nat.sub, Nat.mul, Nat.pow, Nat.gcd, Nat.div, Nat.mod, Nat.beq, Nat.ble, Nat.land, Nat.lor, Nat.xor, Nat.shiftLeft, Nat.shiftRight, String.ofList, Char.ofNat, List, eagerReduce, Nat, String, String.mk, Char, optParam, autoParam, semiOutParam, outParam] from OAI.Bridges.AnthropicETH.Main", "Running nanoda kernel on solution", "Running Lean default kernel on solution." ], "lakeErrors": [] }, "axiomsPrinted": [ { "theorem": "OAI.Bridges.AnthropicETH.not_positiveRateETH_implies_ethIsFalse", "axioms": [ "propext", "Classical.choice", "Quot.sound" ] } ], "decider": "Comparator leanprover/comparator d03acab1 (tag v4.34.0) built with Lean v4.34.1 and its lean4export 076e8e57; landrun 811cfff5; nanoda ammkrn/nanoda_lib 3a240721 with the issue44 patch and a 1 GiB stack: the OpenAI row of certs/eth-kernel.json, on a GitHub-hosted runner, the clone checked by git and against the pins before anything ran", "declaredChanges": [ "enable_nanoda: true on the claimant's config (he ships false): the ONE change to his bytes, so that both kernels decide", "GLIBC_TUNABLES=glibc.malloc.mmap_max=0:glibc.malloc.arena_max=1 for every Lean step (the value the eth-kernel lane declared; a malloc setting, never what Lean checks)", "nanoda as the eth-kernel lane builds it (issue44 patch, 1 GiB stack; nanoda.patch kept with the run)", "lake update before anything else (OpenAI's post_update hook; lane K's rule), every resolved revision checked against the pinned manifest", "a blob-filtered sparse clone (lean/ top-level files, OAI/Combinatorics, OAI/Bridges, ComparatorChallenges, Vendor, scripts, docs): the other 50,000 files of openai/math are not checked out; git's diff against the base names the delta on the full trees", "Comparator runs BEFORE lake build (its README's second assumption: nothing outside the sandbox has built the solution)" ], "trustBase": "the two kernels (Lean's inside Comparator, nanoda), lean4export, Comparator's comparison code, landrun's Landlock sandbox (--best-effort; the runner's LSM list is in machine.txt), the Mathlib cache fetched by lake exe cache get, OpenAI's lakefile and its post_update hook, git's object hashing for the base, and GitHub's runner; the statement files are trusted only because they are byte-checked against the two labs' pinned files", "run": { "id": 41634655114, "url": "https://github.com/carlostoledo1891/cert-machine/actions/runs/41634655114", "commit": "8a0b6ce7122670d96d3bf1cc7f9418d9ed213a77", "branch": "eth-hawkley-replay", "createdAt": "2026-11-03T12:18:53Z", "conclusion": "success", "jobs": [ { "name": "tools", "conclusion": "success", "startedAt": "2026-11-03T12:18:57Z", "completedAt": "2026-11-03T12:20:18Z" }, { "name": "replay", "conclusion": "success", "startedAt": "2026-11-03T12:20:21Z", "completedAt": "2026-11-03T12:33:32Z" } ] }, "machine": [ "runner: GitHub Actions 1000003445 Linux X64, image ubuntu24 20261026.354.1", "cpus: 4", "MemTotal: 16367524 kB", "SwapTotal: 3145724 kB", "vm.max_map_count: 262144", "kernel: 7.0.0-1017-azure", "landlock: lockdown,capability,landlock,yama,apparmor,ima,evm", "/dev/root 145G 37G 108G 26% /" ], "env": [ "toolchain: leanprover/lean4:v4.34.1", "Lean (version 4.34.1, x86_64-unknown-linux-gnu, commit 5045d0056413266e57c625dcd7c365b10e377c52, Release)", "Lake version 5.0.0-src+5045d00 (Lean version 4.34.1)", "lean prefix: /home/runner/.elan/toolchains/leanprover--lean4---v4.34.1", "comparator: d03acab154d269c06e60e4de7e4cc85deebff94b built with leanprover/lean4:v4.34.1", "lean4export: 076e8e57707e813375e8f9da8bf989799ace9680 built with leanprover/lean4:v4.34.1", "nanoda: 3a2407216ee84a75f9e1aead6803d0578be06ae7, build issue44-stack1g", "landrun: 811cfff51ceaf3d9843708aa6d22e9b84ccac8b4", "GLIBC_TUNABLES: glibc.malloc.mmap_max=0:glibc.malloc.arena_max=1", "fork: d6b79b7d165f9e6bef6e033949e3f14e913efdaa (base 7ef5c0cc5ca4b0e072b7a050fca09ab24bc6fa3a)", "commit: 8a0b6ce7122670d96d3bf1cc7f9418d9ed213a77", "run: 41634655114 attempt 1" ], "steps": { "update": { "exit": 0, "seconds": 177, "timedOut": false, "maxRssKB": 1979448, "usedMemPeakKB": 2380008 }, "cache": { "exit": 0, "seconds": 19, "timedOut": false, "maxRssKB": 1777212, "usedMemPeakKB": 2230808 }, "comparator": { "exit": 0, "seconds": 408, "timedOut": false, "maxRssKB": 10307408, "usedMemPeakKB": 5670676 }, "build": { "exit": 0, "seconds": 19, "timedOut": false, "maxRssKB": 1931832, "usedMemPeakKB": 2169848 }, "axioms": { "exit": 0, "seconds": 11, "timedOut": false, "maxRssKB": 7206060, "usedMemPeakKB": 1253480 } }, "logs": "corpus/eth-refutation/hawkley/runs/41634655114", "runs": [ { "run": 41634655114, "at": "2026-11-03T12:18:53Z", "commit": "8a0b6ce7122670d96d3bf1cc7f9418d9ed213a77", "word": "CERTIFIED", "why": "git's facts hold (HEAD at the pin, a clean tree, the diff against openai/math@7ef5c0cc naming exactly the pinned delta); the statement checks pass on the run's bytes; lake update moved no pinned dependency; Comparator exit 0 with \"Your solution is okay!\" on the claimant's config with nanoda on; Lean's kernel and nanoda both accept; lake build exit 0; the theorem's axioms are among propext, Classical.choice, Quot.sound" } ] }