%--------------------------------------------------------------------------
% File     : SYN377+1 : TPTP v8.2.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Peter Andrews Problem X2128
% Version  : Especial.
% English  :

% Refs     : [And86] Andrews (1986), An Introduction to Mathematical Logic
%          : [And94] Andrews (1994), Email to G. Sutcliffe
% Source   : [And94]
% Names    : X2128 [And86]

% Status   : Theorem
% Rating   : 0.00 v8.2.0, 0.07 v8.1.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.15 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    4 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :    3 (   0   ~;   0   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    1 (   1 usr;   0 prp; 1-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   3   !;   1   ?)
% SPC      : FOF_THM_RFO_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(x2128,conjecture,
    ( ! [X] :
        ( big_p(X)
      <=> ! [Y] : big_p(Y) )
  <=> ( ? [X] : big_p(X)
    <=> ! [Y] : big_p(Y) ) ) ).

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