X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FGRP558-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FGRP558-1.p.ma;h=da6a12f629af713ad248d3591b181d8fd0f4d805;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/GRP558-1.p.ma b/matita/tests/TPTP/Veloci/GRP558-1.p.ma new file mode 100644 index 000000000..da6a12f62 --- /dev/null +++ b/matita/tests/TPTP/Veloci/GRP558-1.p.ma @@ -0,0 +1,39 @@ + +include "logic/equality.ma". +(* Inclusion of: GRP558-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : GRP558-1 : TPTP v3.1.1. Released v2.6.0. *) +(* Domain : Group Theory (Abelian) *) +(* Problem : Axiom for Abelian group theory, in division and inverse, part 2 *) +(* Version : [McC93] (equality) axioms. *) +(* English : *) +(* Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr *) +(* Source : [TPTP] *) +(* Names : *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.6.0 *) +(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) +(* Number of atoms : 3 ( 3 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 5 ( 2 constant; 0-2 arity) *) +(* Number of variables : 5 ( 0 singleton) *) +(* Maximal term depth : 5 ( 3 average) *) +(* Comments : A UEQ part of GRP097-1 *) +(* -------------------------------------------------------------------------- *) +theorem prove_these_axioms_2: + \forall Univ:Set. +\forall a2:Univ. +\forall b2:Univ. +\forall divide:\forall _:Univ.\forall _:Univ.Univ. +\forall inverse:\forall _:Univ.Univ. +\forall multiply:\forall _:Univ.\forall _:Univ.Univ. +\forall H0:\forall A:Univ.\forall B:Univ.eq Univ (multiply A B) (divide A (inverse B)). +\forall H1:\forall A:Univ.\forall B:Univ.\forall C:Univ.eq Univ (divide A (inverse (divide (divide B C) (divide A C)))) B.eq Univ (multiply (multiply (inverse b2) b2) a2) a2 +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)