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Exploiting Instantiations from Paramodulation Proofs in Isabelle/HOL

2025/08/28 by Bartl, Lukas, Blanchette, Jasmin, Nipkow, Tobias
#FOS: Computer and information sciences #Logic in Computer Science (cs.LO)

paper · doi:10.48550/arxiv.2508.20738

Abstract

Metis is an ordered paramodulation prover built into the Isabelle/HOL proof assistant. It attempts to close the current goal using a given list of lemmas. Typically these lemmas are found by Sledgehammer, a tool that integrates external automatic provers. We present a new tool that analyzes successful Metis proofs to derive variable instantiations. These increase Sledgehammer's success rate, improve the speed of Sledgehammer-generated proofs, and help users understand why a goal follows from the lemmas.

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