X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FGRP206-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FGRP206-1.p.ma;h=08544742ab13904400d1b6c228af87f4240174be;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/GRP206-1.p.ma b/matita/tests/TPTP/Veloci/GRP206-1.p.ma new file mode 100644 index 000000000..08544742a --- /dev/null +++ b/matita/tests/TPTP/Veloci/GRP206-1.p.ma @@ -0,0 +1,53 @@ + +include "logic/equality.ma". +(* Inclusion of: GRP206-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : GRP206-1 : TPTP v3.1.1. Released v2.3.0. *) +(* Domain : Group Theory (Loops) *) +(* Problem : In Loops, Moufang-4 => Moufang-1. *) +(* Version : [MP96] (equality) axioms. *) +(* English : *) +(* Refs : [Wos96] Wos (1996), OTTER and the Moufang Identity Problem *) +(* Source : [Wos96] *) +(* Names : - [Wos96] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.3.0 *) +(* Syntax : Number of clauses : 10 ( 0 non-Horn; 10 unit; 1 RR) *) +(* Number of atoms : 10 ( 10 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 9 ( 4 constant; 0-2 arity) *) +(* Number of variables : 15 ( 0 singleton) *) +(* Maximal term depth : 4 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----Loop axioms: *) +(* ----Moufang-4 *) +(* ----Denial of Moufang-1 *) +theorem prove_moufang1: + \forall Univ:Set. +\forall a:Univ. +\forall b:Univ. +\forall c:Univ. +\forall identity:Univ. +\forall left_division:\forall _:Univ.\forall _:Univ.Univ. +\forall left_inverse:\forall _:Univ.Univ. +\forall multiply:\forall _:Univ.\forall _:Univ.Univ. +\forall right_division:\forall _:Univ.\forall _:Univ.Univ. +\forall right_inverse:\forall _:Univ.Univ. +\forall H0:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (multiply X (multiply (multiply Y Z) X)) (multiply (multiply X Y) (multiply Z X)). +\forall H1:\forall X:Univ.eq Univ (multiply (left_inverse X) X) identity. +\forall H2:\forall X:Univ.eq Univ (multiply X (right_inverse X)) identity. +\forall H3:\forall X:Univ.\forall Y:Univ.eq Univ (right_division (multiply X Y) Y) X. +\forall H4:\forall X:Univ.\forall Y:Univ.eq Univ (multiply (right_division X Y) Y) X. +\forall H5:\forall X:Univ.\forall Y:Univ.eq Univ (left_division X (multiply X Y)) Y. +\forall H6:\forall X:Univ.\forall Y:Univ.eq Univ (multiply X (left_division X Y)) Y. +\forall H7:\forall X:Univ.eq Univ (multiply X identity) X. +\forall H8:\forall X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply a (multiply b c)) a) (multiply (multiply a b) (multiply c a)) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)