--- /dev/null
+
+include "logic/equality.ma".
+(* Inclusion of: GRP116-1.p *)
+(* -------------------------------------------------------------------------- *)
+(* File : GRP116-1 : TPTP v3.1.1. Released v1.2.0. *)
+(* Domain : Group Theory *)
+(* Problem : Derive left identity from a single axiom for groups order 3 *)
+(* Version : [Wos96] (equality) axioms. *)
+(* English : *)
+(* Refs : [Wos96] Wos (1996), The Automation of Reasoning: An Experiment *)
+(* Source : [OTTER] *)
+(* Names : groups.exp3.in part 2 [OTTER] *)
+(* Status : Unsatisfiable *)
+(* Rating : 0.00 v2.2.1, 0.22 v2.2.0, 0.29 v2.1.0, 0.14 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 : 3 ( 2 constant; 0-2 arity) *)
+(* Number of variables : 3 ( 0 singleton) *)
+(* Maximal term depth : 6 ( 2 average) *)
+(* Comments : *)
+(* -------------------------------------------------------------------------- *)
+theorem prove_order3:
+ \forall Univ:Set.
+\forall a:Univ.
+\forall identity:Univ.
+\forall multiply:\forall _:Univ.\forall _:Univ.Univ.
+\forall H0:\forall X:Univ.\forall Y:Univ.\forall Z:Univ.eq Univ (multiply X (multiply (multiply X (multiply (multiply X Y) Z)) (multiply identity (multiply Z Z)))) Y.eq Univ (multiply identity a) a
+.
+intros.
+autobatch paramodulation timeout=100;
+try assumption.
+print proofterm.
+qed.
+(* -------------------------------------------------------------------------- *)