%--------------------------------------------------------------------------
% File     : SYN980+1 : TPTP v8.2.0. Released v3.1.0.
% Domain   : Syntactic
% Problem  : Syntactic from Shults
% Version  : Especial.
% English  :

% Refs     : [Shu04] Shults (2004), Email to G. Sutcliffe
% Source   : [Shu04]
% Names    :

% Status   : Theorem
% Rating   : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.09 v5.2.0, 0.07 v5.0.0, 0.10 v4.1.0, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :    5 (   0   ~;   0   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   3 usr;   0 prp; 1-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    4 (   2   !;   2   ?)
% SPC      : FOF_THM_RFO_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(prove_this,conjecture,
    ! [B] :
      ( ! [Y] :
          ( ( r(B)
           => r(Y) )
         => p(f(Y),Y) )
     => ? [X,Y] :
          ( p(X,Y)
          & ( q(f(B),B)
           => q(X,Y) ) ) ) ).

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