Interoperability of Proof Systems with SC-TPTP

Simon Guilloud, Julie Cailler, Sankalp Gambhir, Auguste Poiroux, Yann Herklotz, Thomas Bourgeat, Viktor Kunčak · Lecture notes in computer science · 2025

Abstract We introduce SC-TPTP, an extension of the TPTP derivation format that supports sequent formalism, enabling seamless proof exchange between interactive theorem provers and first-order automated theorem provers. We provide a way to represent non-deductive steps—Skolemization, clausification, and Tseitin normal form—as deductive steps within the format. Building upon the existing support in the Lisa proof assistant and the Goéland theorem prover, SC-TPTP ecosystem is further enhanced with proof output interfaces for Egg and Prover9, as well as proof reconstruction support for HOL Light, Lean, and Rocq.

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