Complete resultmathematics · graph theory
GPT-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.
Editorial context
What happened
The two-page prompt is primarily a research-management and adversarial-validation protocol: portfolio diversity, approach registries, independent agents, cross-pollination, and repeated audits are more central than domain hints.
Keep in view
No complete run transcript was located, and the result was extremely recent at the research cutoff.
Chronology
Timeline
Proof and prompt releaseddisclosure · day date
Lean formalization releasedverification · month date
Trust boundaries
Validation
Public Lean project kernel-checks an unconditional theorem; statement-faithfulness and extremely recent status should remain visible.
System
AI and tools
- GPT-5.6 Sol Ultra
- GPT-5.6 Sol
- Codex
- Lean
People
Human contributors
- OpenAI researchers and formalization contributors
Organizations
Affiliations
- OpenAI
Primary materials