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mathematics · graph theory

Cycle Double Cover Conjecture

Whether every finite bridgeless loopless multigraph has a cycle double cover.

The archive currently tracks the recent AI-produced proof claim and public Lean formalization. Its status remains dated because formal checking, statement fidelity, novelty, and wider mathematical acceptance are distinct questions.

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Attempt ledger

What has been tried?

A complete attempt outcome does not automatically change the editorial status of the underlying problem.

01
Jul 9, 2026 · caseGPT-5.6 produces a proof of the Cycle Double Cover Conjecture

A long-running 64-agent search produced a claimed complete proof, followed by a public Lean formalization and a separate model-assisted write-up.

Complete resultFormal evidence