This paper details a case study using the Aristotle API for AI-assisted theorem proving within the Lean 4 formalization environment. The study focused on the Grasshopper problem, a challenge from IMO 2009. While the AI generated verified lemmas for local proof components, it left the main theorem unresolved, highlighting a limitation in AI's ability to handle global combinatorial bookkeeping required for complex mathematical proofs. AI
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IMPACT Demonstrates current limitations of AI in complex mathematical formalization, particularly in global combinatorial reasoning.
RANK_REASON Academic paper detailing a formalization case study using an AI tool. [lever_c_demoted from research: ic=1 ai=1.0]