X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FGRP459-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FGRP459-1.p.ma;h=7c717aac6f019cdb9e24225712cbaa764d6ebc3b;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/GRP459-1.p.ma b/matita/tests/TPTP/Veloci/GRP459-1.p.ma new file mode 100644 index 000000000..7c717aac6 --- /dev/null +++ b/matita/tests/TPTP/Veloci/GRP459-1.p.ma @@ -0,0 +1,43 @@ + +include "logic/equality.ma". +(* Inclusion of: GRP459-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : GRP459-1 : TPTP v3.1.1. Released v2.6.0. *) +(* Domain : Group Theory *) +(* Problem : Axiom for group theory, in division and identity, part 3 *) +(* 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 : 5 ( 0 non-Horn; 5 unit; 1 RR) *) +(* Number of atoms : 5 ( 5 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 7 ( 4 constant; 0-2 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 7 ( 3 average) *) +(* Comments : A UEQ part of GRP067-1 *) +(* -------------------------------------------------------------------------- *) +theorem prove_these_axioms_3: + \forall Univ:Set. +\forall a3:Univ. +\forall b3:Univ. +\forall c3:Univ. +\forall divide:\forall _:Univ.\forall _:Univ.Univ. +\forall identity:Univ. +\forall inverse:\forall _:Univ.Univ. +\forall multiply:\forall _:Univ.\forall _:Univ.Univ. +\forall H0:\forall A:Univ.eq Univ identity (divide A A). +\forall H1:\forall A:Univ.eq Univ (inverse A) (divide identity A). +\forall H2:\forall A:Univ.\forall B:Univ.eq Univ (multiply A B) (divide A (divide identity B)). +\forall H3:\forall A:Univ.\forall B:Univ.\forall C:Univ.eq Univ (divide (divide (divide A A) (divide A (divide B (divide (divide identity A) C)))) C) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)