Exploiting Instantiations from Paramodulation Proofs in Isabelle/HOL
arXiv:2508.20738 · doi:10.1007/978-3-031-99984-0_30
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.
This version of the contribution has been accepted for publication in CADE-30, after peer review but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections