GPT-5.6 Sol Ultra Proves 50-Year Math Conjecture

OpenAI announced the general availability of GPT-5.6 Sol Ultra, demonstrating a major breakthrough in high-difficulty reasoning tasks. According to OpenAI and multiple reposters, the model used 64 subagents to successfully generate a proof draft for the 50-year-old Cycle Double Cover Conjecture in under an hour. The accompanying prompts and proof text were shared publicly for community verification. This event highlights the immense potential of large language models in solving complex mathematical problems and has sparked widespread attention and discussion within the AI community.

Key Details and Proof Logic

According to @量子位, the Cycle Double Cover Conjecture is a classic open problem in graph theory. GPT-5.6's proof approach consists of two steps: first, reducing a general graph to a cubic graph, and then using the nowhere-zero 8-flow theorem to assign weights to the edges. @LiorOnAI pointed out the underlying system mechanism: instead of relying on a single long chain of thought, the model splits the problem across multiple agents trying different approaches in parallel, using parallelized test-time compute to break through latency bottlenecks.

Reactions and Community Buzz

The breakthrough triggered significant discussion and memes. Users like @tstorm expressed approval for the scaling of such long-horizon, multi-agent systems. @basedjensen speculated that if this was indeed achieved with a publicly available model, OpenAI must already possess even stronger internal models. @alishbaimran_ concluded from a technical perspective that this proves increased test-time compute yields greater intelligence, and that parallelization is the key to solving long-inference latency.

2026-07-10 ~ 2026-07-12 · 17 related posts

1 near-duplicate retellings: basedjensen