branch for universe

[helm.git] / matita / tests / TPTP / Veloci / GRP206-1.p.ma

diff --git a/matita/tests/TPTP/Veloci/GRP206-1.p.ma b/matita/tests/TPTP/Veloci/GRP206-1.p.ma
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+
+include "logic/equality.ma".
+(* Inclusion of: GRP206-1.p *)
+(* -------------------------------------------------------------------------- *)
+(*  File     : GRP206-1 : TPTP v3.1.1. Released v2.3.0. *)
+(*  Domain   : Group Theory (Loops) *)
+(*  Problem  : In Loops, Moufang-4 => Moufang-1. *)
+(*  Version  : [MP96] (equality) axioms. *)
+(*  English  :  *)
+(*  Refs     : [Wos96] Wos (1996), OTTER and the Moufang Identity Problem *)
+(*  Source   : [Wos96] *)
+(*  Names    : - [Wos96] *)
+(*  Status   : Unsatisfiable *)
+(*  Rating   : 0.00 v2.3.0 *)
+(*  Syntax   : Number of clauses     :   10 (   0 non-Horn;  10 unit;   1 RR) *)
+(*             Number of atoms       :   10 (  10 equality) *)
+(*             Maximal clause size   :    1 (   1 average) *)
+(*             Number of predicates  :    1 (   0 propositional; 2-2 arity) *)
+(*             Number of functors    :    9 (   4 constant; 0-2 arity) *)
+(*             Number of variables   :   15 (   0 singleton) *)
+(*             Maximal term depth    :    4 (   2 average) *)
+(*  Comments : *)
+(* -------------------------------------------------------------------------- *)
+(* ----Loop axioms: *)
+(* ----Moufang-4 *)
+(* ----Denial of Moufang-1 *)
+theorem prove_moufang1:
+ \forall Univ:Set.
+\forall a:Univ.
+\forall b:Univ.
+\forall c:Univ.
+\forall identity:Univ.
+\forall left_division:\forall _:Univ.\forall _:Univ.Univ.
+\forall left_inverse:\forall _:Univ.Univ.
+\forall multiply:\forall _:Univ.\forall _:Univ.Univ.
+\forall right_division:\forall _:Univ.\forall _:Univ.Univ.
+\forall right_inverse:\forall _:Univ.Univ.
+\forall H0:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (multiply X (multiply (multiply Y Z) X)) (multiply (multiply X Y) (multiply Z X)).
+\forall H1:\forall X:Univ.eq Univ (multiply (left_inverse X) X) identity.
+\forall H2:\forall X:Univ.eq Univ (multiply X (right_inverse X)) identity.
+\forall H3:\forall X:Univ.\forall Y:Univ.eq Univ (right_division (multiply X Y) Y) X.
+\forall H4:\forall X:Univ.\forall Y:Univ.eq Univ (multiply (right_division X Y) Y) X.
+\forall H5:\forall X:Univ.\forall Y:Univ.eq Univ (left_division X (multiply X Y)) Y.
+\forall H6:\forall X:Univ.\forall Y:Univ.eq Univ (multiply X (left_division X Y)) Y.
+\forall H7:\forall X:Univ.eq Univ (multiply X identity) X.
+\forall H8:\forall X:Univ.eq Univ (multiply identity X) X.eq Univ (multiply (multiply a (multiply b c)) a) (multiply (multiply a b) (multiply c a))
+.
+intros.
+autobatch paramodulation timeout=100;
+try assumption.
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)