Experimental Results for Vampire on the Equational Theories Project

Fuente: arXiv
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Main Author: Janota, Mikoláš
Format: Preprint
Published: 2025
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author Janota, Mikoláš
author_facet Janota, Mikoláš
contents Equational Theories Project is a collaborative effort, which explores the validity of certain first-order logic implications of certain kind. The project has been completed but triggered further research. This report investigates how much can be automatically proven and disproven by the automated theorem prover Vampire. An interesting conclusion is that Vampire can prove all the considered implications that hold and also is able to refute a vast majority of those that do not hold.
format Preprint
id arxiv_https___arxiv_org_abs_2508_15856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Experimental Results for Vampire on the Equational Theories Project
Janota, Mikoláš
Logic in Computer Science
Equational Theories Project is a collaborative effort, which explores the validity of certain first-order logic implications of certain kind. The project has been completed but triggered further research. This report investigates how much can be automatically proven and disproven by the automated theorem prover Vampire. An interesting conclusion is that Vampire can prove all the considered implications that hold and also is able to refute a vast majority of those that do not hold.
title Experimental Results for Vampire on the Equational Theories Project
topic Logic in Computer Science
url https://arxiv.org/abs/2508.15856