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GPT-5.6 Sol Ultra proves the 50-year-old Cycle Double Cover Conjecture — 24 hours after GA

One day after GPT-5.6 Sol Ultra went generally available, OpenAI says it produced a complete proof of the Cycle Double Cover Conjecture — a graph theory problem open since Tutte, Szekeres and Seymour posed it 50 years ago. 64 subagents, under one hour. The prompt and the full proof PDF are public. HN thread: 224 points, 203 comments, and mathematicians are still checking every line.

What Sol Ultra actually is

It’s a frontier model with a built-in multi-agent mode: Ultra decomposes a hard problem, spawns parallel subagents that coordinate mid-task, then merges results. The proof came from Sol Ultra alone; Codex only cleaned up the writeup.

You can run the same setup today

GPT-5.6 Sol is GA on the OpenAI API at $5 input / $30 output per million tokens, with subagent mode available. Same machinery, pointed at your own hard research or verification problems.

Why this matters

Last month a frontier model disproved the Erdős unit-distance conjecture. This is the second famous open problem to fall in two months. If the proof holds, “AI does original math” stops being a demo and becomes a cadence.


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