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Aristotle: IMO-Level Automated Theorem Proving (arxiv.org)
3 points by jasondavies on Oct 3, 2025 | hide | past | pdf | discuss on HN

In plain words: Aristotle pairs a computer-checked proof search with a free-form reasoner that suggests useful lemmas and turns them into checkable steps, plus a separate solver for geometry. It solved enough of the 2025 International Mathematical Olympiad problems to match a gold medal.

Abstract · Aristotle: IMO-level Automated Theorem Proving

We introduce Aristotle, an AI system that combines formal verification with informal reasoning, achieving gold-medal-equivalent performance on the 2025 International Mathematical Olympiad problems. Aristotle integrates three main components: a Lean proof search system, an informal reasoning system that generates and formalizes lemmas, and a dedicated geometry solver. Our system demonstrates state-of-the-art performance with favorable scaling properties for automated theorem proving.

Tudor Achim, Alex Best, Alberto Bietti, Kevin Der, Mathïs Fédérico, Sergei Gukov, Daniel Halpern-Leistner, Kirsten Henningsgard, Yury Kudryashov, Alexander Meiburg, Martin Michelsen, Riley Patterson, et al.
arXiv:2510.01346 · cs.AI, cs.CL · submitted Oct 1, 2025 · updated Oct 10, 2025
abstract · pdf

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