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Short Paper
Lean on Vampire Proofs (Short Paper)

Authors: Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, and Michael Rawson

Published in: LIPIcs, Volume 382, 17th International Conference on Interactive Theorem Proving (ITP 2026)


Abstract
Vampire proves theorems completely automatically in first- and higher-order logic extended with theories. Proof checking is increasingly demanded to consolidate user trust in Vampire’s output. We describe ongoing efforts in reconstructing Vampire proofs as trusted proofs in Lean. Our experiments showcase feasibility of generating trusted Vampire proofs that are validated in Lean.

Cite as

Jonas Bodingbauer, Márton Hajdu, Laura Kovács, Axel Polaczek, and Michael Rawson. Lean on Vampire Proofs (Short Paper). In 17th International Conference on Interactive Theorem Proving (ITP 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 382, pp. 36:1-36:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)


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@InProceedings{bodingbauer_et_al:LIPIcs.ITP.2026.36,
  author =	{Bodingbauer, Jonas and Hajdu, M\'{a}rton and Kov\'{a}cs, Laura and Polaczek, Axel and Rawson, Michael},
  title =	{{Lean on Vampire Proofs}},
  booktitle =	{17th International Conference on Interactive Theorem Proving (ITP 2026)},
  pages =	{36:1--36:9},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-436-9},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{382},
  editor =	{Komendantskaya, Ekaterina and Nipkow, Tobias},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2026.36},
  URN =		{urn:nbn:de:0030-drops-270102},
  doi =		{10.4230/LIPIcs.ITP.2026.36},
  annote =	{Keywords: Automated Reasoning, Interactive Theorem Provers, Automated Theorem Provers, Lean, Vampire, Proof Reconstruction}
}
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