# AI Model Claims Proof of Cycle Double Cover Conjecture

A new AI system, GPT-5.6 Sol Ultra, has purportedly generated a proof of the Cycle Double Cover Conjecture, a long-standing unsolved problem in graph theory. The claim, shared on Hacker News, suggests that the model autonomously derived the proof, representing a potential breakthrough in AI-driven mathematical reasoning. If verified, this could redefine the capabilities of artificial intelligence in formal mathematics.

**Importance:** 4/5

## Sources

### Technology
- [Hacker News](https://cdn.openai.com/pdf/04d1d1e4-bc75-476a-97cf-49055cd98d31/cdc_proof.pdf) — Fri, 10 Jul 2026 18:29:19 +0000