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arXiv · 2508.20738

Exploiting Instantiations from Paramodulation Proofs in Isabelle/HOL

Lukas Bartl·Jasmin Blanchette·Tobias Nipkow
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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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Lukas Bartl, Jasmin Blanchette, Tobias Nipkow. 2025-08-28. Exploiting Instantiations from Paramodulation Proofs in Isabelle/HOL. https://doi.org/10.1007/978-3-031-99984-0_30

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