{
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  "problem_id": "vibemathed:wowii-graph-conjecture-217",
  "title": "Written on the Wall II, Graph Conjecture 217",
  "canonical_statement": "Statement not supplied by the source.",
  "plain_summary": "VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
  "current_status": "candidate",
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    {
      "id": "vibemathed:wowii-graph-conjecture-217:event",
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      "type": "proved",
      "status": "candidate",
      "occurred_at": "2026-07-30T00:00:00.000Z",
      "title": "formal-conjectures PR #4668 - Mark WOWII Graph Conjecture 217 solved",
      "summary": "VibeMathed reports this item as candidate. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.",
      "ai_contribution": "ai_discovered",
      "attempt_ids": [
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      "provider": null,
      "attempted_at": "2026-07-30T00:00:00.000Z",
      "human_collaborators": [],
      "exposure": "unknown",
      "prompt_public": null,
      "outcome": "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.",
      "failed_routes": [],
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          "license": null
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        },
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          "label": "VibeMathed: Written on the Wall II, Graph Conjecture 217",
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      "peer_review": "none",
      "verifier": "VibeMathed (source-reported label)",
      "verified_at": null,
      "note": "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.",
      "sources": [
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          "label": "VibeMathed: Written on the Wall II, Graph Conjecture 217",
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      "url": "https://github.com/google-deepmind/formal-conjectures/pull/4668",
      "kind": "primary-mathematical-source",
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    },
    {
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      "kind": "watch_only",
      "reason": "The source statement is missing; retrieve it before constructing a replay task.",
      "generated_at": "2026-09-13T16:28:40.178Z"
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  "uncertainties": [
    "The source status is candidate and must not be represented as solved.",
    "VibeMath has not independently verified the mathematical claim.",
    "AI-attempt independence and training-data exposure are unknown unless explicitly documented.",
    "The source did not supply a mathematical statement; retrieve it before replay or verification. VibeMath has not independently audited the mathematical statement, proof, or novelty claim."
  ],
  "generated_at": "2026-09-13T16:28:40.178Z"
}