Metis-based Paramodulation Tactic for HOL Light

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