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.
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Tudor Achim
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Alex Best
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Kevin Der
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Mathïs Fédérico
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Sergei Gukov
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Daniel Halpern-Leister
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Kirsten Henningsgard
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Yury Kudryashov
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Alexander Meiburg
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2025-10-05T12:46:15.978Z
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Alex Meiburg
user
Timeroot
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Martin Michelsen
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Riley Patterson
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Eric Rodriguez
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Laura Scharff
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Vikram Shanker
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Vladmir Sicca
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Hari Sowrirajan
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Aidan Swope
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Matyas Tamas
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Vlad Tenev
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Jonathan Thomm
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Harold Williams
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Lawrence Wu
admin_assigned
2025-10-08T09:38:59.544Z
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Lawrence Wu
user
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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.
Aristotle, an AI system combining formal verification and informal reasoning, achieves top performance on International Mathematical Olympiad problems using Lean proof search, lemma generation, and a geometry solver.
Lean proof search formal verification informal reasoning lemmas geometry solver automated theorem proving