Converting the Suggested Upper Merged Ontology to Typed First-order Form

Abstract

We describe the translation of the Suggested Upper Merged Ontology (SUMO) to Typed First-order Form (TFF) with level 0 polymorphism. Building on our prior work to create a TPTP FOF translation of SUMO for use in the E and Vampire theorem provers, we detail the transformations required to handle an explicitly typed logic, and express SUMO's type hierarchy for numbers in a manner consistent with its intended semantics and the three numerical classes allowed in TFF. We provide description of the open source code and an example proof in Vampire on the resulting theory.