--- /dev/null
+
+include "logic/equality.ma".
+(* Inclusion of: COL085-1.p *)
+(* -------------------------------------------------------------------------- *)
+(* File : COL085-1 : TPTP v3.1.1. Released v2.6.0. *)
+(* Domain : Combinatory Logic *)
+(* Problem : Happy Birds, part 1 *)
+(* Version : Especial. *)
+(* English : *)
+(* Refs : [Smu85] Smullyan (1978), To Mock a Mocking Bird and Other Logi *)
+(* Source : [TPTP] *)
+(* Names : *)
+(* Status : Unsatisfiable *)
+(* Rating : 0.00 v2.6.0 *)
+(* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 2 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 : 3 ( 2 constant; 0-2 arity) *)
+(* Number of variables : 2 ( 2 singleton) *)
+(* Maximal term depth : 2 ( 2 average) *)
+(* Comments : A UEQ part of COL055-1 *)
+(* -------------------------------------------------------------------------- *)
+theorem prove_happiness_1:
+ \forall Univ:Set.
+\forall a:Univ.
+\forall b:Univ.
+\forall response:\forall _:Univ.\forall _:Univ.Univ.
+\forall H0:eq Univ (response a b) b.\exist A:Univ.\exist B:Univ.eq Univ (response a A) B
+.
+intros.
+exists[
+2:
+exists[
+2:
+autobatch paramodulation timeout=100;
+try assumption.
+|
+skip]
+|
+skip]
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)