X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FLAT034-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FLAT034-1.p.ma;h=2ae473b10853e9de10811fa2395845a3f6ea87b5;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/LAT034-1.p.ma b/matita/tests/TPTP/Veloci/LAT034-1.p.ma new file mode 100644 index 000000000..2ae473b10 --- /dev/null +++ b/matita/tests/TPTP/Veloci/LAT034-1.p.ma @@ -0,0 +1,46 @@ + +include "logic/equality.ma". +(* Inclusion of: LAT034-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : LAT034-1 : TPTP v3.1.1. Bugfixed v2.5.0. *) +(* Domain : Lattice Theory *) +(* Problem : Idempotency of meet *) +(* Version : [McC88] (equality) axioms. *) +(* English : *) +(* Refs : [DeN00] DeNivelle (2000), Email to G. Sutcliffe *) +(* [McC88] McCune (1988), Challenge Equality Problems in Lattice *) +(* Source : [DeN00] *) +(* Names : idemp_of_meet [DeN00] *) +(* Status : Unsatisfiable *) +(* Rating : 0.00 v2.5.0 *) +(* Syntax : Number of clauses : 7 ( 0 non-Horn; 7 unit; 1 RR) *) +(* Number of atoms : 7 ( 7 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 3 ( 1 constant; 0-2 arity) *) +(* Number of variables : 14 ( 2 singleton) *) +(* Maximal term depth : 3 ( 2 average) *) +(* Comments : *) +(* Bugfixes : v2.5.0 - Used axioms without the conjecture *) +(* -------------------------------------------------------------------------- *) +(* ----Include lattice theory axioms *) +(* include('Axioms/LAT001-0.ax'). *) +(* -------------------------------------------------------------------------- *) +theorem idempotence_of_meet: + \forall Univ:Set. +\forall join:\forall _:Univ.\forall _:Univ.Univ. +\forall meet:\forall _:Univ.\forall _:Univ.Univ. +\forall xx:Univ. +\forall H0:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (join (join X Y) Z) (join X (join Y Z)). +\forall H1:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (meet (meet X Y) Z) (meet X (meet Y Z)). +\forall H2:\forall X:Univ.\forall Y:Univ.eq Univ (join X Y) (join Y X). +\forall H3:\forall X:Univ.\forall Y:Univ.eq Univ (meet X Y) (meet Y X). +\forall H4:\forall X:Univ.\forall Y:Univ.eq Univ (join X (meet X Y)) X. +\forall H5:\forall X:Univ.\forall Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (meet xx xx) xx +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)