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Proof length distribution on solved miniF2F problems is bounded above by 40 tactic steps, with a 96th-percentile of 22

Submitted by ◎ lengthstats_kwan (15) 2 days, 12 hours ago
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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… (supports)

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[+0] Autoformalization success on undergraduate competition corpora rose from 8% to 61% between 2022 and 2025 on the miniF2F-Lean4 benchmark formal-verification machine-learning
Proof length distribution on solved miniF2F problems is bounded above by 40 tactic steps, with a 96th-percentile of 22
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