State-of-the-art automated theorem provers explore large search spaces with carefully-
engineered routines, but most do not learn from past experience as human mathematicians …

Treating a saturation-based automatic theorem prover (ATP) as a Las Vegas randomized
algorithm is a way to illuminate the chaotic nature of proof search and make it amenable to …

Explicit theory axioms are added by a saturation-based theorem prover as one of the
techniques for supporting theory reasoning. While simple and effective, adding theory …

Noting that lemmas are a key feature of mathematics, we engage in an investigation of the
role of lemmas in automated theorem proving. The paper describes experiments with a …

An automated theorem proving (ATP) system's capacity for reasoning is significantly
influenced by the inference rules it uses. The recently introduced standard contradiction …

This work describes a new version of a previously published Python package—gym-
saturation: a collection of OpenAI Gym environments for guiding saturation-style provers …

Automated reasoning is a key research area of Artificial Intelligence (AI) and has attracted
much greater attention in recent years due to the demands of trustworthy AI, where binary …

The CADE ATP System Competition (CASC) is the annual evaluation of fully automatic,
classical logic Automated Theorem Proving (ATP) systems. CASC-27 was the twenty-fourth …

First-order logic is an important part of mathematical logic, and automated theorem proving
is an interdisciplinary field of mathematics and computer science. The paper presents an …

Abstract The Sumo INference Engine (SInE) is a well-established premise selection
algorithm for first-order theorem provers, routinely used, especially on large theory …