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[helm.git] / matita / tests / TPTP / Veloci / LAT033-1.p.ma

diff --git a/matita/tests/TPTP/Veloci/LAT033-1.p.ma b/matita/tests/TPTP/Veloci/LAT033-1.p.ma
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+
+include "logic/equality.ma".
+(* Inclusion of: LAT033-1.p *)
+(* -------------------------------------------------------------------------- *)
+(*  File     : LAT033-1 : TPTP v3.1.1. Bugfixed v2.5.0. *)
+(*  Domain   : Lattice Theory *)
+(*  Problem  : Idempotency of join *)
+(*  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_join [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_join:
+ \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 (join xx xx) xx
+.
+intros.
+autobatch paramodulation timeout=100;
+try assumption.
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)