X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FBOO071-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FBOO071-1.p.ma;h=b84cf7df2064bbc1dbb77e2ec9ee7318325fce69;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/BOO071-1.p.ma b/matita/tests/TPTP/Veloci/BOO071-1.p.ma new file mode 100644 index 000000000..b84cf7df2 --- /dev/null +++ b/matita/tests/TPTP/Veloci/BOO071-1.p.ma @@ -0,0 +1,38 @@ + +include "logic/equality.ma". +(* Inclusion of: BOO071-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : BOO071-1 : TPTP v3.1.1. Released v2.6.0. *) +(* Domain : Boolean Algebra (Ternary) *) +(* Problem : Ternary Boolean Algebra Single axiom is complete, part 5 *) +(* Version : [MP96] (equality) axioms. *) +(* English : *) +(* Refs : [McC98] McCune (1998), Email to G. Sutcliffe *) +(* : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq *) +(* Source : [TPTP] *) +(* Names : *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *) +(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *) +(* Number of atoms : 2 ( 2 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 4 ( 2 constant; 0-3 arity) *) +(* Number of variables : 7 ( 0 singleton) *) +(* Maximal term depth : 5 ( 2 average) *) +(* Comments : A UEQ part of BOO035-1 *) +(* -------------------------------------------------------------------------- *) +theorem prove_tba_axioms_5: + \forall Univ:Set. +\forall a:Univ. +\forall b:Univ. +\forall inverse:\forall _:Univ.Univ. +\forall multiply:\forall _:Univ.\forall _:Univ.\forall _:Univ.Univ. +\forall H0:\forall A:Univ.\forall B:Univ.\forall C:Univ.\forall D:Univ.\forall E:Univ.\forall F:Univ.\forall G:Univ.eq Univ (multiply (multiply A (inverse A) B) (inverse (multiply (multiply C D E) F (multiply C D G))) (multiply D (multiply G F E) C)) B.eq Univ (multiply (inverse b) b a) a +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)