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AdvancedMathBench: A Benchmark Suite for Advanced Mathematical Proof Generation and Verification

AdvancedMathBench separates proof writing from verification and finds frontier models especially weak at rejecting invalid proofs, a warning against trusting agent self-review on rigorous reasoning.

arXiv
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Source Summary

AdvancedMathBench separates construction from checking: **ProverBench has 296 problems** from undergraduate through doctoral qualifying-exam level, while **VerifierBench has 888 generated proof trajectories** with expert ground truth.

Practical Implication

For reasoning-heavy agents, evaluate generation and verification independently. The best reported proof scores were **75.8 on UGD and 66.1 on QE**, so adding a verifier does not by itself establish correctness.

Agent-Ready Context
AdvancedMathBench separates construction from checking: **ProverBench has 296 problems** from undergraduate through doctoral qualifying-exam level, while **VerifierBench has 888 generated proof trajectories** with expert ground truth.

For reasoning-heavy agents, evaluate generation and verification independently. The best reported proof scores were **75.8 on UGD and 66.1 on QE**, so adding a verifier does not by itself establish correctness.

The best verifier reached only **65.1 Balanced F1**, and models generally had low true-negative rates. The benchmark targets advanced mathematics, so its results do not directly measure coding-agent review.
Context Map
benchmarkresearch#reasoning#agent-evals#agent-reliability
Uncertainty
The best verifier reached only **65.1 Balanced F1**, and models generally had low true-negative rates. The benchmark targets advanced mathematics, so its results do not directly measure coding-agent review.