Aristotle: IMO-level Automated Theorem Proving
This addresses the challenge of high-level mathematical reasoning for automated theorem proving, representing a strong specific gain rather than a broad SOTA breakthrough.
The paper tackled the problem of automated theorem proving at the International Mathematical Olympiad level by introducing Aristotle, an AI system that achieved gold-medal-equivalent performance on the 2025 IMO problems.
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.