X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Ftests%2FTPTP%2FVeloci%2FLAT008-1.p.ma;fp=matita%2Ftests%2FTPTP%2FVeloci%2FLAT008-1.p.ma;h=de65d6e9c7412563711af522f36c77912b4e67e5;hp=0000000000000000000000000000000000000000;hb=f61af501fb4608cc4fb062a0864c774e677f0d76;hpb=58ae1809c352e71e7b5530dc41e2bfc834e1aef1 diff --git a/matita/tests/TPTP/Veloci/LAT008-1.p.ma b/matita/tests/TPTP/Veloci/LAT008-1.p.ma new file mode 100644 index 000000000..de65d6e9c --- /dev/null +++ b/matita/tests/TPTP/Veloci/LAT008-1.p.ma @@ -0,0 +1,43 @@ + +include "logic/equality.ma". +(* Inclusion of: LAT008-1.p *) +(* -------------------------------------------------------------------------- *) +(* File : LAT008-1 : TPTP v3.1.1. Released v2.2.0. *) +(* Domain : Lattice Theory (Distributive lattices) *) +(* Problem : Sholander's basis for distributive lattices, part 5 (of 6). *) +(* Version : [MP96] (equality) axioms. *) +(* English : This is part of the proof that Sholanders 2-basis for *) +(* distributive lattices is correct. Here we prove the absorption *) +(* law x v (x ^ y) = x. *) +(* Refs : [McC98] McCune (1998), Email to G. Sutcliffe *) +(* : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq *) +(* Source : [McC98] *) +(* Names : LT-3-f [MP96] *) +(* Status : Unsatisfiable *) +(* Rating : 0.07 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1 *) +(* Syntax : Number of clauses : 3 ( 0 non-Horn; 3 unit; 1 RR) *) +(* Number of atoms : 3 ( 3 equality) *) +(* Maximal clause size : 1 ( 1 average) *) +(* Number of predicates : 1 ( 0 propositional; 2-2 arity) *) +(* Number of functors : 4 ( 2 constant; 0-2 arity) *) +(* Number of variables : 5 ( 1 singleton) *) +(* Maximal term depth : 3 ( 2 average) *) +(* Comments : *) +(* -------------------------------------------------------------------------- *) +(* ----Sholander's 2-basis for distributive lattices: *) +(* ----Denial of the conclusion: *) +theorem prove_absorbtion_dual: + \forall Univ:Set. +\forall a:Univ. +\forall b:Univ. +\forall join:\forall _:Univ.\forall _:Univ.Univ. +\forall meet:\forall _:Univ.\forall _:Univ.Univ. +\forall H0:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (meet X (join Y Z)) (join (meet Z X) (meet Y X)). +\forall H1:\forall X:Univ.\forall Y:Univ.eq Univ (meet X (join X Y)) X.eq Univ (join a (meet a b)) a +. +intros. +autobatch paramodulation timeout=100; +try assumption. +print proofterm. +qed. +(* -------------------------------------------------------------------------- *)