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OpenAI has announced that it used its new language model, GPT-5.6, to solve a mathematical problem that has eluded humans for over 50 years—specifically, the "Double Cycle Conjecture" related to graphs. The results showed that the model succeeded in verifying the conjecture, proving that any graph can be covered twice using no more than eight selected cycles. This is a groundbreaking achievement in mathematics. The proof was concise and underscores how artificial intelligence can significantly change the landscape of mathematical research; it also demonstrates the ability of such models to handle complex problems that humans have struggled to prove for many years.
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