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   {
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   {
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   {
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     "kind": "def",
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    },
    "tokens": 72,
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   {
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   {
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   {
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     {
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   {
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    "renamed": [
     {
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   {
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     "path": "lean/ComparatorChallenges/HodgeConjectureCMAbelianVarieties/HodgeConjecture/Definitions/AlgebraicGeometry/Cycle/FundamentalClass.lean",
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    },
    "tokens": 97,
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    "renamed": [
     {
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 },
 "notChecked": [
  "Whether the release's copies are faithful to the challenge's definitions. Of the 40 definitions spot-checked here (the four constants and the same-file definitions they use), 30 differ only by namespace (IsProjective, Presentation, toBase, HasComplexMultiplication, CMH1Data, h1Comparison, diagonalAction, hodgeClasses, hodgePiece, fieldToDeRhamCohomologyLinear, conjHodgeFiltrationComplexSubmodule, fieldToDeRhamCohomology, deRhamConjSemilinear, hypercohomologyMap, fieldToHolomorphicDeRhamComplexInt, hypercohomologyAddEquivConstantCohomology, deRhamConj, analyticQuasiIsomorphisms, fieldToComplexConstantSheafComplexInt, Hypercohomology, constantIntegerComparison, constantFieldComparison, complexConstantCohomologyDeRhamAddEquiv, ComplexConstantCohomology, complexConstantCohomologyDeRhamEquiv, algebraicCycleClassSpan, cycleComponentSheafClass, cycleComponentSheafSupportedClass, cycleComponentSupportedInjectiveClass, cycleComponentExtendSmoothCoclass), 10 also by a renamed constant (ComplexPoint → ComplexSchemePoint). The constants they use from other files, and the rest of the 259-module challenge library, were not compared, and equal text is not equal elaborated terms.",
  "That any run reached the comparison. Lane K's only job for this challenge at 7ef5c0cc (run 40520731739, certs/openai-math-kernel-7ef5c0cc.json) is REFUSED: the job ended (failure) in the step \"comparator, Lean's kernel and nanoda\" without uploading a result: the runner terminated it (GitHub: Process completed with exit code 143.) Under the pre-registration a statement mismatch is REFUTED only when Comparator rejects and a second run reproduces it.",
  "That the statements elaborate as read. Names and the Hdg^ notation were resolved by declarations found in each side's closure under the file's namespace and opens, over-approximating Lean's rules; no Lean was built.",
  "That the shared names (GrpObj, IsIntegral, Over, Smooth, Spec) are the same constants on both sides: neither closure declares them under a visible namespace, so they were read as coming from outside the release's tree; Mathlib itself was not read.",
  "Whether OpenAI ran Comparator on this challenge and solution, and with what result: not looked for.",
  "The proof. Nothing here reads or checks the solution's proof."
 ]
}