Metis-based Paramodulation Tactic for HOL Light
Michael Färber, Cezary Kaliszyk · EPiC series in computing · 2018
Metis is an automated theorem prover based on ordered paramodulation. It is widely employed in the interactive theorem provers Isabelle/HOL and HOL4 to automate proofs as well as reconstruct proofs found by automated provers. For both these purposes, the tableaux-based MESON tactic is frequently used in HOL Light. However, paramodulation-based provers such as Metis perform better on many problems involving equality. We created a Metis-based tactic in HOL Light which translates HOL problems to Metis, runs an OCaml version of Metis, and reconstructs proofs in Metis' paramodulation calculus as HOL proofs. We evaluate the performance of Metis as proof reconstruction method in HOL Light.