Journal of Automated Reasoning
Solution of the Robbins Problem
Journal of Automated Reasoning
AI Communications
AI Communications - CASC
TAP'10 Proceedings of the 4th international conference on Tests and proofs
On Deciding Satisfiability by Theorem Proving with Speculative Inferences
Journal of Automated Reasoning
Automated Inference of Finite Unsatisfiability
Journal of Automated Reasoning
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We present Infinox, an automated tool for analyzing first-order logic problems, aimed at showing finite unsatisfiability , i.e. the absence of models with finite domains. Finite satisfiability is a semi-decidable problem, which means that such a tool can never be complete. Nevertheless, our hope is that Infinox be a complement to finite model finders in practice. The implementation consists of several different proof techniques for showing infinity of a set, each of which requires the identification of a function or a relation with particular properties. Infinox enumerates candidates to such functions and relations, and subsequently uses an automated theorem prover as a sub-procedure to try to prove the resulting proof obligations. We have evaluated Infinox on the relevant problems from the TPTP benchmark suite, with very promising results.