GPT-5.6 Sol Ultra produces proof of the Cycle Double Cover Conjecture [pdf](cdn.openai.com)
530 points by scrlk 61 days ago | 433 comments
tl;dr: Summary not available
HN Discussion:
  • ~Prompt engineering overhead is notable, with much of prompt spent cajoling model rather than describing problem
  • ~Impressive milestone but concerns about methodology and how many problems were attempted before success
  • Major milestone in AI mathematical capability, comparable to chess engines surpassing humans
  • ~Proof's conciseness suggests a clever trick, but AI still lacks autonomous theory-building capability
  • Independent verification via another model and expert increases confidence in the result