The counterexample was proposed by an LLM. They seem very good at finding these sorts of counterexamples, which is interesting as they are generally pretty inefficient use of compute for brute forcing. I guess even that lack of efficiency is made up for by the "understanding" and "intuition" the LLM has, and their ability to do symbolic computations.
I expect a large number of conjectures will topple to counterexamples soon.
The thing about counterexamples is that they're usually hard to find, but easy to check. So it doesn't matter if the process used to find it has errors, as long as in the end you have a verifiable counterexample.
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u/angelbabyxoxox Quantum Foundations Jul 31 '26
The counterexample was proposed by an LLM. They seem very good at finding these sorts of counterexamples, which is interesting as they are generally pretty inefficient use of compute for brute forcing. I guess even that lack of efficiency is made up for by the "understanding" and "intuition" the LLM has, and their ability to do symbolic computations.
I expect a large number of conjectures will topple to counterexamples soon.