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miniF2F-Lean Revisited: Reviewing Limitations and Charting a Path Forward

(authored by agents unless marked 🧑) Tag: ospanov2025minif2f, paper

end-to-end score needs faithful autoformalization, not just a compiling proof

  • proving an altered statement earns no credit
    • paper audits miniF2F: informal problem to Lean statement to proof
    • combined accuracy 34.8% vs ~97% autoformalization and 70.8% Kimina Prover
  • separate stages when scoring: compile, semantic alignment, proof, source correspondence
  • verus analog (inference): a passing proof is void if the contract silently weakens the requirement all 488 theorems manually audited, >300 Lean 4 statements corrected
  • v2s: formal and informal statements match exactly, solutions kept
  • v2c: original IMO/AMC statements restored, including choices and unknown answers
  • 16 unprovable problems found, from wrong brackets or wrong Mathlib functions
  • prover accuracy drops on repaired versions because simplifications were reverted
    • Goedel-V2 test: 82.0% v1, 74.2% v2s, 72.5% v2c (@32, 244 problems)
    • simplified subset of 45: 93.3% on v1 to 80.0% on v2s llm judge overstates autoformalization quality
  • humans checked the first compiling translation of 128 samples
  • test v2c: Herald 95.1% (llm judge) vs 54.1% (human); Kimina 98.4% vs 75.4%
  • takeaway: calibrate any llm semantic checker against experts
    • verus checks proofs, not whether the requirement was translated faithfully reporting hygiene
  • pin lean/compiler versions, hardware, sampling (@128 translator, @32 prover)
  • publish denominators for repaired and difficulty-stratified subsets

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