1 include "logic/equality.ma".
3 (* Inclusion of: SYN083-1.p *)
5 (* -------------------------------------------------------------------------- *)
7 (* File : SYN083-1 : TPTP v3.7.0. Released v1.0.0. *)
9 (* Domain : Syntactic *)
11 (* Problem : Pelletier Problem 61 *)
13 (* Version : Especial. *)
17 (* Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au *)
19 (* Source : [Pel86] *)
21 (* Names : Pelletier 61 [Pel86] *)
23 (* Status : Unsatisfiable *)
25 (* Rating : 0.00 v2.0.0 *)
27 (* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
29 (* Number of atoms : 2 ( 2 equality) *)
31 (* Maximal clause size : 1 ( 1 average) *)
33 (* Number of predicates : 1 ( 0 propositional; 2-2 arity) *)
35 (* Number of functors : 5 ( 4 constant; 0-2 arity) *)
37 (* Number of variables : 3 ( 0 singleton) *)
39 (* Maximal term depth : 4 ( 4 average) *)
43 (* -------------------------------------------------------------------------- *)
45 (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
50 ∀f:∀_:Univ.∀_:Univ.Univ.
51 ∀H0:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (f X (f Y Z)) (f (f X Y) Z).eq Univ (f a (f b (f c d))) (f (f (f a b) c) d))
64 ntry (nassumption) ##;
67 (* -------------------------------------------------------------------------- *)