X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FGRP568-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FGRP568-1.p.ma;h=1d63a33f3fd7e87057b09497f6a7532f8b658b5c;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/GRP568-1.p.ma b/matita/tests/TPTP/Veloci/GRP568-1.p.ma new file mode 100644 index 000000000..1d63a33f3 --- /dev/null +++ b/matita/tests/TPTP/Veloci/GRP568-1.p.ma @@ -0,0 +1,43 @@ + +include "logic/equality.ma". +(* Inclusion of: GRP568-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : GRP568-1 : TPTP v3.1.1. Bugfixed v2.7.0. *) +(* Domain : Group Theory (Abelian) *) +(* Problem : Axiom for Abelian group theory, in double div and id, part 4 *) +(* 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 *) +(* 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 : 6 ( 3 constant; 0-2 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 6 ( 2 average) *) +(* Comments : A UEQ part of GRP099-1 *) +(* Bugfixes : v2.7.0 - Grounded conjecture *) +(* -------------------------------------------------------------------------- *) +theorem prove_these_axioms_4: + \forall Univ:Set. +\forall a:Univ. +\forall b: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 a b) (multiply b a) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)