Stuff moved from old Matita.

[helm.git] / matita / matita / contribs / ng_TPTP / SYN080-1.ma

diff --git a/matita/matita/contribs/ng_TPTP/SYN080-1.ma b/matita/matita/contribs/ng_TPTP/SYN080-1.ma
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+include "logic/equality.ma".
+
+(* Inclusion of: SYN080-1.p *)
+
+(* -------------------------------------------------------------------------- *)
+
+(*  File     : SYN080-1 : TPTP v3.7.0. Released v1.0.0. *)
+
+(*  Domain   : Syntactic *)
+
+(*  Problem  : Pelletier Problem 58 *)
+
+(*  Version  : Especial. *)
+
+(*  English  :  *)
+
+(*  Refs     : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au *)
+
+(*  Source   : [Pel86] *)
+
+(*  Names    : Pelletier 58 [Pel86] *)
+
+(*  Status   : Unsatisfiable *)
+
+(*  Rating   : 0.00 v3.4.0, 0.12 v3.3.0, 0.00 v2.0.0 *)
+
+(*  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; 0-1 arity) *)
+
+(*             Number of variables   :    2 (   2 singleton) *)
+
+(*             Maximal term depth    :    3 (   2 average) *)
+
+(*  Comments :  *)
+
+(* -------------------------------------------------------------------------- *)
+ntheorem prove_this:
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.
+∀a:Univ.
+∀b:Univ.
+∀f:∀_:Univ.Univ.
+∀g:∀_:Univ.Univ.
+∀H0:∀X:Univ.∀Y:Univ.eq Univ (f X) (g Y).eq Univ (f (f a)) (f (g b)))
+.
+#Univ ##.
+#X ##.
+#Y ##.
+#a ##.
+#b ##.
+#f ##.
+#g ##.
+#H0 ##.
+nauto by H0 ##;
+ntry (nassumption) ##;
+nqed.
+
+(* -------------------------------------------------------------------------- *)