MizAR 60 for Mizar 50
Abstract
As a present to Mizar on its 50th anniversary, we develop an AI/TP system that automatically proves about 60\% of the Mizar theorems in the hammer setting. We also automatically prove 75\% of the Mizar theorems when the automated provers are helped by using only the premises used in the human-written Mizar proofs. We describe the methods and large-scale experiments leading to these results. This includes in particular the E and Vampire provers, their ENIGMA and Deepire learning modifications, a number of learning-based premise selection methods, and the incremental loop that interleaves growing a corpus of millions of ATP proofs with training increasingly strong AI/TP systems on them. We also present a selection of Mizar problems that were proved automatically.
Cite
@article{arxiv.2303.06686,
title = {MizAR 60 for Mizar 50},
author = {Jan Jakubův and Karel Chvalovský and Zarathustra Goertzel and Cezary Kaliszyk and Mirek Olšák and Bartosz Piotrowski and Stephan Schulz and Martin Suda and Josef Urban},
journal= {arXiv preprint arXiv:2303.06686},
year = {2023}
}