Theorem Prover and Countermodel Generator

http://www.cs.unm.edu/~mccune/prover9/

This package provides the Prover9 resolution/paramodulation theorem prover

and the Mace4 countermodel generator.

Prover9 is an automated theorem prover for first-order and equational logic.

It is a successor of the Otter prover. Prover9 uses the inference techniques

of ordered resolution and paramodulation with literal selection.

The program Mace4 searches for finite structures satisfying first-order and

equational statements, the same kind of statement that Prover9 accepts. If

the statement is the denial of some conjecture, any structures found by

Mace4 are counterexamples to the conjecture.

Mace4 can be a valuable complement to Prover9, looking for counterexamples

before (or at the same time as) using Prover9 to search for a proof. It can

also be used to help debug input clauses and formulas for Prover9.

Command | Description |
---|---|

mace4 | searches for finite countermodels of first-order statements |

prover9 | resolution/paramodulation theorem prover |

prover9-interpformat | tool for transforming mace4(1) models |

prover9-isofilter | removes isomorphic structures from mace4(1) models |

prover9-isofilter0 | alias for prover9-isofilter |

prover9-isofilter2 | alias for prover9-isofilter |

prover9-prooftrans | tool for transforming Prover9 proofs |