Experimental Results for Vampire on the Equational Theories Project

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-20
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Experimental Results for Vampire on the Equational Theories Project

ArXiv.org
Geochemistry and Geologic Mapping
article

Experimental Results for Vampire on the Equational Theories Project

article en

Abstract

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.

ArXiv.org
Openalex Percentile: Top 65%
Geochemistry and Geologic Mapping
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Experimental Results for Vampire on the Equational Theories Project · ArXiv.org (2025) | TGRS Research Map | TGRS