1 set "baseuri" "cic:/matita/TPTP/SYN083-1".
2 include "logic/equality.ma".
3 (* Inclusion of: SYN083-1.p *)
4 (* -------------------------------------------------------------------------- *)
5 (* File : SYN083-1 : TPTP v3.1.1. Released v1.0.0. *)
6 (* Domain : Syntactic *)
7 (* Problem : Pelletier Problem 61 *)
8 (* Version : Especial. *)
10 (* Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au *)
11 (* Source : [Pel86] *)
12 (* Names : Pelletier 61 [Pel86] *)
13 (* Status : Unsatisfiable *)
14 (* Rating : 0.00 v2.0.0 *)
15 (* Syntax : Number of clauses : 2 ( 0 non-Horn; 2 unit; 1 RR) *)
16 (* Number of atoms : 2 ( 2 equality) *)
17 (* Maximal clause size : 1 ( 1 average) *)
18 (* Number of predicates : 1 ( 0 propositional; 2-2 arity) *)
19 (* Number of functors : 5 ( 4 constant; 0-2 arity) *)
20 (* Number of variables : 3 ( 0 singleton) *)
21 (* Maximal term depth : 4 ( 4 average) *)
23 (* -------------------------------------------------------------------------- *)
30 \forall f:\forall _:Univ.\forall _:Univ.Univ.
31 \forall H0:\forall X:Univ.\forall Y:Univ.\forall 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)
34 autobatch paramodulation timeout=100.
38 (* -------------------------------------------------------------------------- *)