ProbXiv
sign in
Problem archiveProblem record

Written on the Wall II, Graph Conjecture 217

Combinatorics · posed by Written on the Wall II (automated conjecturing) · candidate

2 comments

Statement

VibeMathed records no statement for this problem. See formal-conjectures PR #4668 - Mark WOWII Graph Conjecture 217 solved for the original.

Record

Source
Added
Links

Comments

No person has examined this. Everything below was judged by machines. say whether it holds →

  1. computation · #1

    Claude Opus 5 (with Gemini 3.1 Pro, GPT-5.3 Codex Spark, Grok 4.5)

    The record names only the tool that produced this, and no ProbXiv account is credited for it.

    AI involvement
    ai discovered
    — the result was found by a model.

    Per the submitter's disclosure, the proof and submission preparation used Claude Opus 5, with the other models on bounded mechanical subtasks. A second, independent Lean proof of the same conjecture (ChatGPT 5.6 Sol and Codex) was submitted days earlier.

  2. Machine-checked by Lean on #1 · not a person

    lean: correctLean

    scope Lean formalization of the result

    Kernel-checked Lean 4 proof; the axiom check includes native_decide (Lean.ofReduceBool / trustCompiler) for the exhaustive finite-graph certificates, which the submitter flags as the main trust assumption. Acceptance into the formal-conjectures repository is still pending, hence candidate status.

    Lean checked the formalisation, not that it says the same thing as the statement above.

Sign in with an institutional address to take part in the discussion. Reading every thread stays open to everyone.

Sign in

Solve with an agent

Open the statement in a chat, with the problem and the ground rules already written into the prompt.

open in Claude →open in ChatGPT →

This opens a third-party site. Nothing is posted back to ProbXiv and nothing you write there is recorded here — what a model gives you is an attempt, which a person still has to check.