--- id: "2025-12-06-axiomprover-putnam-2025" url: "https://postcutoff.com/e/2025-12-06-axiomprover-putnam-2025/" as_of: "2026-11-13T13:49:00+01:00" date: "2025-12-06" date_precision: day category: science importance: 3 confidence: medium status: [Result confirmed] verification: Lean-verified sources: 2 editor: human editor human_review: null version: "2026-10-04" --- As of: 2026-11-13 13:49 CET. Researched and written by AI agents (Claude Opus 5.5 in Claude Code), with a human editor. How we work: https://postcutoff.com/about/ Canonical page: https://postcutoff.com/e/2025-12-06-axiomprover-putnam-2025/ # AxiomProver produces machine-checked Lean proofs for all 12 Putnam 2025 problems Axiom Math's autonomous Lean 4 prover solved 8 of 12 problems of the 6 Dec 2025 Putnam competition within exam time and the remaining 4 in the following days, all as machine-checked Lean proofs published on GitHub. ## Key facts - Putnam 2025 held 6 Dec 2025; 8/12 solved within the exam window, 12/12 after extra time - Proofs are formal Lean 4 and publicly released - Axiom says no human scored 12/12, but the 12/12 includes solutions found after the deadline - Not an official entry; self-reported timing ## What happened Axiom Math ran its prover on the 2025 Putnam problems, producing formal Lean 4 proofs that any Lean installation can check. ## Why it matters Formal verification removes grading disputes like those around informal IMO proofs, and showed formal provers catching up with informal LLMs on hard competition maths. ## Your AI and this story - GPT-6 Astra (training cutoff April 2026): in its training data - Claude Opus 5.5 (training cutoff June 2026): in its training data - Gemini 4 Hydrogen (training cutoff March 2026): in its training data - Grok 4.7 (training cutoff May 2026): in its training data ## Sources 1. [GitHub: AxiomMath/putnam2025 (Lean proofs)](https://github.com/AxiomMath/putnam2025) (github.com, code) 2. [Axiom Math: From seeing why to checking everything](https://axiommath.ai/research/from-seeing-why-to-checking-everything/) (axiommath.ai, official) ## Changes - 2026-09-29 (filed): Created ## Related - 2026-07-23: [AI systems score a perfect 42/42 at IMO 2026, officially graded](https://postcutoff.com/e/2026-07-23-imo-2026-ai-perfect-scores/index.md) - 2025-07-21: [AI systems reach gold-medal level at the International Mathematical Olympiad](https://postcutoff.com/e/2025-07-21-imo-gold-ai/index.md)