AxiomProver CFSG Formalization: Scale, Access, and Limits

What Axiom says it finished

The largest math proof in human history is now computer-verified.

Axiom announced a complete Lean auto-formalization of the Classification of Finite Simple Groups, the result mathematicians call the periodic table of symmetry. The human theorem sorts every finite simple group into known families, and the published argument runs about 15,000 pages, written by more than 100 mathematicians across generations.

The company credits AxiomProver, which it describes as an AI prover cluster, rather than a hand-typed library. Auto-formalization here means the cluster is said to have turned that classification into Lean code a proof checker can accept. Axiom presents the result as the largest computer-verified mathematical proof on record.

Fifty million lines in 24 days

The scale Axiom cites is about 50 million lines of Lean, produced in 24 days. That is a different kind of size from the 15,000-page narrative proof: formal text spells out definitions, case splits, and checker steps that prose leaves to the reader, so a verified development is expected to be far longer than the books it follows.

A 24-day clock is the other half of the claim. The notes describe a cluster finishing a complete formalization on that schedule. They do not describe model size, search strategy, repair loops, or how much mathematicians steered the run. Recently trending discussion hangs on that gap between a huge finished text and a very short calendar.

What you can do with it today

You cannot run this formalization yet. No public build, download, or official page has been published. So far Axiom has only shown the work in a short preview alongside the October 27, 2026 announcement. There is no API, no open-weight release, and no stated price or usage limit, because there is nothing to sign up for.

• Audit, later

  If the Lean files are released, specialists can try to compile them and see whether every case of the classification actually closes.

• A map of symmetry

  The theorem is the standard inventory of finite simple groups. A checked library would let you follow that inventory as code instead of only as a multi-volume argument.

• A tooling stress test

  Fifty million lines is a load test for Lean itself: compiling, searching, and maintaining a development of that size, even before the mathematics is re-read line by line.

Claims that still need a public check

Complete and largest are Axiom's words until other proof-assistant users can compile the development. Computer verification means a checker accepted a script under whatever assumptions that script uses. It does not, by itself, teach the ideas, and it does not retire the human proof as the place where the strategy is explained.

Open questions sit in the announcement's silence. The notes do not say which Lean version was used, whether supporting libraries are assumed or proved inside the 50 million lines, how much human review happened during the 24 days, or when the files might appear. The name cfsg.axiommath.ai has circulated with the project, but that does not change the current fact: no public build is available to inspect.