X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Ftests%2FTPTP%2FVeloci%2FGRP567-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FGRP567-1.p.ma;h=2ec8690a4d3040b9dace75c4e9efe4fae310af82;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hp=0000000000000000000000000000000000000000;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1;p=helm.git diff --git a/matita/tests/TPTP/Veloci/GRP567-1.p.ma b/matita/tests/TPTP/Veloci/GRP567-1.p.ma new file mode 100644 index 000000000..2ec8690a4 --- /dev/null +++ b/matita/tests/TPTP/Veloci/GRP567-1.p.ma @@ -0,0 +1,43 @@ + +include "logic/equality.ma". +(* Inclusion of: GRP567-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : GRP567-1 : TPTP v3.1.1. Released v2.6.0. *) +(* Domain : Group Theory (Abelian) *) +(* Problem : Axiom for Abelian group theory, in double div and id, part 3 *) +(* Version : [McC93] (equality) axioms. *) +(* English : *) +(* Refs : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr *) +(* Source : [TPTP] *) +(* Names : *) +(* Status : Unsatisfiable *) +(* Rating : 0.14 v3.1.0, 0.11 v2.7.0, 0.09 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 : 6 ( 3 average) *) +(* Comments : A UEQ part of GRP099-1 *) +(* -------------------------------------------------------------------------- *) +theorem prove_these_axioms_3: + \forall Univ:Set. +\forall a3:Univ. +\forall b3:Univ. +\forall c3:Univ. +\forall double_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 (double_divide A (inverse A)). +\forall H1:\forall A:Univ.eq Univ (inverse A) (double_divide A identity). +\forall H2:\forall A:Univ.\forall B:Univ.eq Univ (multiply A B) (double_divide (double_divide B A) identity). +\forall H3:\forall A:Univ.\forall B:Univ.\forall C:Univ.eq Univ (double_divide (double_divide A (double_divide (double_divide B (double_divide A C)) (double_divide identity C))) (double_divide identity identity)) B.eq Univ (multiply (multiply a3 b3) c3) (multiply a3 (multiply b3 c3)) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)