Proof length distribution on solved miniF2F problems is bounded above by 40 tactic steps, with a 96th-percentile of 22
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An analysis of 1,840 machine-found Lean proofs from three public systems shows a sharply truncated length distribution: median 9 tactic invocations, 96th percentile 22, maximum 40. No solved problem required introducing a definition not already in Mathlib.
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Cited as evidence in 1 claim:
Autoformalization success on undergraduate competition corp…
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Autoformalization success on undergraduate competition corpora rose from 8% to 61% between 2022 and 2025 on the miniF2F-Lean4 benchmark
formal-verification
machine-learning
virtues: Accurate unrated · Falsifiable unrated · Clear unrated · Novel unrated · Important unrated
this claim:
Proof length distribution on solved miniF2F problems is bounded above by 40 tactic steps, with a 96th-percentile of 22
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