%--------------------------------------------------------------------------
% File     : SYN732+1 : TPTP v9.0.0. Released v2.5.0.
% Domain   : Syntactic
% Problem  : Peter Andrews Problem X3411
% Version  : Especial.
% English  :

% Refs     : [And97] Andrews (1994), Email to G. Sutcliffe
% Source   : [And97]
% Names    : X3411 [And97]

% Status   : Theorem
% Rating   : 0.07 v9.0.0, 0.00 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :    4 (   0   ~;   1   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 2-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    6 (   3   !;   3   ?)
% SPC      : FOF_THM_RFO_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(x3411,conjecture,
    ( ! [Y] :
        ( ! [X] : p(X,Y)
       => ! [U] : q(U,Y) )
   => ? [Z] :
        ( ? [V] : p(V,Z)
       => ? [W] :
            ( p(Z,W)
            | q(W,Z) ) ) ) ).

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