Mathematician Reflects on AI Solving Barnette's Conjecture After 24 Years

Graph theorist Jake Boggan shared a bittersweet reflection on Hacker News after an AI system published a Lean-verified proof for Barnette's Conjecture in OpenAI's math repository. Boggan had spent 24 years on and off attempting to solve the long-standing open problem in graph theory. As AI systems achieve breakthroughs in automated theorem proving, they are solving open mathematical problems that researchers spent decades pursuing. This shift highlights both a technical milestone in formal verification and the profound emotional impact on human experts whose lifelong pursuits are automated overnight. The proof was documented in OpenAI's `openai/math` GitHub repository as problem 180, formally verifying the solution in the Lean proof assistant. Barnette's Conjecture asserts that every 3-connected bipartite cubic planar graph contains a Hamiltonian cycle.