branch for universe

[helm.git] / matita / tests / TPTP / Veloci / BOO071-1.p.ma

diff --git a/matita/tests/TPTP/Veloci/BOO071-1.p.ma b/matita/tests/TPTP/Veloci/BOO071-1.p.ma
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+
+include "logic/equality.ma".
+(* Inclusion of: BOO071-1.p *)
+(* -------------------------------------------------------------------------- *)
+(*  File     : BOO071-1 : TPTP v3.1.1. Released v2.6.0. *)
+(*  Domain   : Boolean Algebra (Ternary) *)
+(*  Problem  : Ternary Boolean Algebra Single axiom is complete, part 5 *)
+(*  Version  : [MP96] (equality) axioms. *)
+(*  English  :  *)
+(*  Refs     : [McC98] McCune (1998), Email to G. Sutcliffe *)
+(*           : [MP96]  McCune & Padmanabhan (1996), Automated Deduction in Eq *)
+(*  Source   : [TPTP] *)
+(*  Names    :  *)
+(*  Status   : Unsatisfiable *)
+(*  Rating   : 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0 *)
+(*  Syntax   : Number of clauses     :    2 (   0 non-Horn;   2 unit;   1 RR) *)
+(*             Number of atoms       :    2 (   2 equality) *)
+(*             Maximal clause size   :    1 (   1 average) *)
+(*             Number of predicates  :    1 (   0 propositional; 2-2 arity) *)
+(*             Number of functors    :    4 (   2 constant; 0-3 arity) *)
+(*             Number of variables   :    7 (   0 singleton) *)
+(*             Maximal term depth    :    5 (   2 average) *)
+(*  Comments : A UEQ part of BOO035-1 *)
+(* -------------------------------------------------------------------------- *)
+theorem prove_tba_axioms_5:
+ \forall Univ:Set.
+\forall a:Univ.
+\forall b:Univ.
+\forall inverse:\forall _:Univ.Univ.
+\forall multiply:\forall _:Univ.\forall _:Univ.\forall _:Univ.Univ.
+\forall H0:\forall A:Univ.\forall B:Univ.\forall C:Univ.\forall D:Univ.\forall E:Univ.\forall F:Univ.\forall G:Univ.eq Univ (multiply (multiply A (inverse A) B) (inverse (multiply (multiply C D E) F (multiply C D G))) (multiply D (multiply G F E) C)) B.eq Univ (multiply (inverse b) b a) a
+.
+intros.
+autobatch paramodulation timeout=100;
+try assumption.
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)