X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FLDA001-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FLDA001-1.p.ma;h=1963dca3905433c9cd72ae2b41d26f40907f7372;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/LDA001-1.p.ma b/matita/tests/TPTP/Veloci/LDA001-1.p.ma new file mode 100644 index 000000000..1963dca39 --- /dev/null +++ b/matita/tests/TPTP/Veloci/LDA001-1.p.ma @@ -0,0 +1,43 @@ + +include "logic/equality.ma". +(* Inclusion of: LDA001-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : LDA001-1 : TPTP v3.1.1. Released v1.0.0. *) +(* Domain : LD-Algebras *) +(* Problem : Verify 3*2*U = UUU, where U = 2*2 *) +(* Version : [Jec93] (equality) axioms. *) +(* English : *) +(* Refs : [Jec93] Jech (1993), LD-Algebras *) +(* Source : [Jec93] *) +(* Names : Problem 1 [Jec93] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.25 v2.0.0 *) +(* Syntax : Number of clauses : 5 ( 0 non-Horn; 5 unit; 4 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 : 5 ( 4 constant; 0-2 arity) *) +(* Number of variables : 3 ( 0 singleton) *) +(* Maximal term depth : 3 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----A1: x(yz)=xy(xz) *) +(* ----3*2*U = U*U*U *) +theorem prove_equation: + \forall Univ:Set. +\forall f:\forall _:Univ.\forall _:Univ.Univ. +\forall n1:Univ. +\forall n2:Univ. +\forall n3:Univ. +\forall u:Univ. +\forall H0:eq Univ u (f n2 n2). +\forall H1:eq Univ n3 (f n2 n1). +\forall H2:eq Univ n2 (f n1 n1). +\forall H3:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) (f X Z)).eq Univ (f (f n3 n2) u) (f (f u u) u) +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)