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Abstract

PutnamBench consists of 1724 hand-constructed formalizations of problems sourced from the William Lowell Putnam Mathematical Competition, the premier undergraduate-level mathematics competition in North America. - There are 660 problems formalized in Lean 4, 640 formalized in Isabelle, and 412 formalized in Coq. + There are 672 problems formalized in Lean 4, 640 formalized in Isabelle, and 412 formalized in Coq.

Proving the theorems requires significant problem-solving ability and proficiency in a broad range of topics taught in undergraduate mathematics courses. We use PutnamBench to evaluate several established neural and symbolic theorem-provers.