%--------------------------------------------------------------------------
% File     : SYN065+1 : TPTP v8.2.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Pelletier Problem 36
% Version  : Especial.
% English  :

% Refs     : [KM64]  Kalish & Montegue (1964), Logic: Techniques of Formal
%          : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
%          : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% Source   : [Hah94]
% Names    : Pelletier 36 [Pel86]

% Status   : Theorem
% Rating   : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.00 v3.4.0, 0.08 v3.3.0, 0.00 v2.1.0
% Syntax   : Number of formulae    :    4 (   3 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :    4 (   0   ~;   2   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   3 usr;   0 prp; 2-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    9 (   6   !;   3   ?)
% SPC      : FOF_THM_RFO_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(pel36_1,axiom,
    ! [X] :
    ? [Y] : big_f(X,Y) ).

fof(pel36_2,axiom,
    ! [X] :
    ? [Y] : big_g(X,Y) ).

fof(pel36_3,axiom,
    ! [X,Y] :
      ( ( big_f(X,Y)
        | big_g(X,Y) )
     => ! [Z] :
          ( ( big_f(Y,Z)
            | big_g(Y,Z) )
         => big_h(X,Z) ) ) ).

fof(pel36,conjecture,
    ! [X] :
    ? [Y] : big_h(X,Y) ).

%--------------------------------------------------------------------------