Loeber Says Unreleased OpenAI Model Disproved Hadwiger Conjecture, His Prover Failed
Summary
John Loeber says his custom Lean theorem prover failed to close the Hadwiger Conjecture, then an unreleased OpenAI frontier model disproved it. He reports that model ran 4,000 major problems at about 3.5 hours of compute each, producing hundreds of claimed results. Loeber calls his elaborate engineering outweighed by base-model gains.
Key Points
- Loeber writes that OpenAI's Hadwiger disproof claims no specific counterexample, instead making a probabilistic existence argument.
- Loeber estimates roughly half the claimed math results lack an accompanying Lean proof, an observation he labels unconfirmed.
- Loeber declines to open-source his prover, saying base models will soon one-shot superior work for pennies.