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Experimental Results for Vampire on the Equational Theories Project

Published: August 20, 2025 | arXiv ID: 2508.15856v1

By: Mikoláš Janota

Potential Business Impact:

Computer proves math ideas automatically.

Business Areas:
Simulation Software

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.

Page Count
5 pages

Category
Computer Science:
Logic in Computer Science