{"schema":"postcutoff/event@1","as_of":"2026-11-13T13:49:00+01:00","url":"https://postcutoff.com/e/2025-12-06-axiomprover-putnam-2025/","md":"https://postcutoff.com/e/2025-12-06-axiomprover-putnam-2025/index.md","disclosure":{"written_by":"AI agents (Claude Opus 5.5 in Claude Code)","editor":"human editor","policy":"https://postcutoff.com/about/"},"license":null,"id":"2025-12-06-axiomprover-putnam-2025","date":"2025-12-06","date_precision":"day","short_title":"AxiomProver produces machine-checked Lean proofs for all 12 Putnam 2025 problems","deck":null,"takeaway":"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.","category":"science","category_label":"Science & math","importance":3,"confidence":"medium","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":[{"n":1,"title":"GitHub: AxiomMath/putnam2025 (Lean proofs)","url":"https://github.com/AxiomMath/putnam2025","type":"code","group":"primary","domain":"github.com"},{"n":2,"title":"Axiom Math: From seeing why to checking everything","url":"https://axiommath.ai/research/from-seeing-why-to-checking-everything/","type":"official","group":"primary","domain":"axiommath.ai"}],"official":2,"filed":"2026-09-29","updated":"2026-09-29","orgs":["Axiom Math"],"title":"AxiomProver produces machine-checked Lean proofs for all 12 Putnam 2025 problems","summary":"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"],"key_numbers":[],"tags":["math","formal-proofs","lean","putnam","competition"],"science":{"field":"mathematics","subfield":"competition mathematics / formal proof","problem":"William Lowell Putnam Competition 2025 (12 problems)","result":"Formally verified Lean 4 solutions to all 12 problems, 8 of them within the exam time.","open_since":"","ai_system":["AxiomProver"],"human_role":"Autonomous proof search; humans formalised problem statements (per company)","verification":{"key":"lean","label":"Lean-verified","text":"Formal proof in Lean (public repository)"},"status":"confirmed","shock":"The hardest undergraduate competition, fully solved with machine-checkable proofs rather than natural-language answers."},"body_md":"## What happened\n\nAxiom Math ran its prover on the 2025 Putnam problems, producing formal Lean 4 proofs that any Lean installation can check.\n\n## Why it matters\n\nFormal verification removes grading disputes like those around informal IMO proofs, and showed formal provers catching up with informal LLMs on hard competition maths.","disputed":[],"related":[{"id":"2026-07-23-imo-2026-ai-perfect-scores","url":"https://postcutoff.com/e/2026-07-23-imo-2026-ai-perfect-scores/","date":"2026-07-23","date_precision":"day","short_title":"AI systems score a perfect 42/42 at IMO 2026, officially graded","deck":null,"takeaway":"Olympiad math is now saturated as an AI benchmark just one year after the first gold-level results; attention shifts to research-level math (FrontierMath Tier 4, Erdős problems).","category":"science","category_label":"Science & math","importance":5,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":7,"official":0,"filed":"2026-09-29","updated":"2026-10-07","orgs":["Huawei","Xiaohongshu (RedNote)"]},{"id":"2025-07-21-imo-gold-ai","url":"https://postcutoff.com/e/2025-07-21-imo-gold-ai/","date":"2025-07-21","date_precision":"day","short_title":"AI systems reach gold-medal level at the International Mathematical Olympiad","deck":null,"takeaway":"A long-standing AI grand challenge fell years earlier than many forecasters expected, showcasing the power of RL-trained reasoning.","category":"science","category_label":"Science & math","importance":5,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":5,"official":4,"filed":"2026-09-29","updated":"2026-09-29","orgs":["Google DeepMind","OpenAI"]}],"people":[],"posts":[],"videos":[],"models":[],"changes":[{"date":"2026-09-29","type":"filed","text":"Created"}],"provenance":{"agents":[{"model":"Claude Opus 5.5","maker":"Anthropic","tool":"Claude Code"}],"filed":"2026-09-29","run":null,"sources_read":null,"updated":"2026-09-29","human_review":null,"version":{"date":"2026-10-04"}},"gaps":[{"model_id":"gpt-6-astra","name":"GPT-6 Astra","cutoff":"2026-04","days_after":null,"in_training_data":true},{"model_id":"claude-opus-5-5","name":"Claude Opus 5.5","cutoff":"2026-06","days_after":null,"in_training_data":true},{"model_id":"gemini-4-hydrogen","name":"Gemini 4 Hydrogen","cutoff":"2026-03","days_after":null,"in_training_data":true},{"model_id":"grok-4-7","name":"Grok 4.7","cutoff":"2026-05","days_after":null,"in_training_data":true}],"short_url":null}