A general-purpose LLM and the LPTP proof checker jointly produced a machine-checked proof that sqrt(2) is irrational, with the checker localizing every wrong step.
Drabent (2016): Correctness and Completeness of Logic Programs
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Case study: proving sqrt(2) irrational with LPTP and an LLM
A general-purpose LLM and the LPTP proof checker jointly produced a machine-checked proof that sqrt(2) is irrational, with the checker localizing every wrong step.