## Abstract

The practical success of Boolean Satisfiability (SAT) solvers stems from the CDCL (Conflict-Driven Clause Learning) approach to SAT solving. However, from a propositional proof complexity perspective, CDCL is no more powerful than the resolution proof system, for which many hard examples exist. This paper proposes a new problem transformation, which enables reducing the decision problem for formulas in conjunctive normal form (CNF) to the problem of solving maximum satisfiability over Horn formulas. Given the new transformation, the paper proves a polynomial bound on the number of MaxSAT resolution steps for pigeonhole formulas. This result is in clear contrast with earlier results on the length of proofs of MaxSAT resolution for pigeonhole formulas. The paper also establishes the same polynomial bound in the case of modern core-guided MaxSAT solvers. Experimental results, obtained on CNF formulas known to be hard for CDCL SAT solvers, show that these can be efficiently solved with modern MaxSAT solvers.

Original language | English |
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Title of host publication | Theory and Applications of Satisfiability Testing – SAT 2017 |

Subtitle of host publication | 20th International Conference Melbourne, VIC, Australia, August 28 – September 1, 2017 Proceedings |

Editors | Serge Gaspers, Toby Walsh |

Place of Publication | Cham Switzerland |

Publisher | Springer |

Pages | 164-183 |

Number of pages | 20 |

ISBN (Electronic) | 9783319662633 |

ISBN (Print) | 9783319662626 |

DOIs | |

Publication status | Published - 2017 |

Externally published | Yes |

Event | International Conference on Theory and Applications of Satisfiability Testing 2017 - Melbourne, Australia Duration: 28 Aug 2017 → 1 Sep 2017 Conference number: 20th http://sat2017.gitlab.io/ |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer |

Volume | 10491 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | International Conference on Theory and Applications of Satisfiability Testing 2017 |
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Abbreviated title | SAT 2017 |

Country/Territory | Australia |

City | Melbourne |

Period | 28/08/17 → 1/09/17 |

Internet address |