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Cycle Double Cover Conjecture

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Machine Learning Algorithms & Natural Language Processing
Machine Learning Algorithms & Natural Language Processing
Jul 11, 2026 · Artificial Intelligence

GPT-5.6 solves 50‑year‑old graph theory conjecture in an hour with a 700‑word prompt and 64 sub‑agents

GPT‑5.6’s Sol Ultra model proved the long‑standing Cycle Double Cover Conjecture within an hour by orchestrating 64 sub‑agents using a detailed 700‑word prompt, illustrating how label‑based reductions and dynamic multi‑agent coordination can turn complex graph‑theoretic proofs into tractable linear‑algebra problems.

Cycle Double Cover ConjectureGPT-5.6Prompt Engineering
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GPT-5.6 solves 50‑year‑old graph theory conjecture in an hour with a 700‑word prompt and 64 sub‑agents