TPTP Problem File: SYN080+1.p
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% File : SYN080+1 : TPTP v8.2.0. Released v2.0.0.
% Domain : Syntactic
% Problem : Pelletier Problem 58
% Version : Especial.
% English :
% Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% Source : [Hah94]
% Names : Pelletier 58 [Pel86]
% Status : Theorem
% Rating : 0.00 v6.3.0, 0.07 v6.2.0, 0.09 v6.1.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.00 v2.5.0, 0.12 v2.4.0, 0.25 v2.3.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 2 ( 2 unt; 0 def)
% Number of atoms : 2 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 0 ( 0 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% SPC : FOF_THM_RFO_PEQ
% Comments :
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%----Problem axioms
fof(pel58_1,axiom,
! [X,Y] : f(X) = g(Y) ).
fof(pel58,conjecture,
! [X,Y] : f(f(X)) = f(g(Y)) ).
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