%------------------------------------------------------------------------------
% File     : SYO299_8 : TPTP v8.2.0. Released v8.0.0.
% Domain   : Syntactic
% Problem  : TPS problem from BASIC-HO-THMS
% Version  : Especial.
% English  :

% Refs     :
% Source   : [TPTP]
% Names    :

% Status   : Theorem
% Rating   : 0.00 v8.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
%            Number of atoms       :    0 (   0 equ)
%            Maximal formula atoms :    0 (   0 avg)
%            Number of connectives :    5 (   0   ~;   0   |;   0   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    6 (   0 fml;   6 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    0 (   0 usr;   0 prp; --- aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   3   !;   1   ?;   4   :)
% SPC      : TX0_THM_NEQ_NAR

% Comments : Translated to TXF from the THF version.
%------------------------------------------------------------------------------
tff(cTHM51,conjecture,
    ! [P: $o,Q: $o,R: $o] :
    ? [S: $o] :
      ( ( ( (P)
        <=> (Q) )
      <=> (R) )
     => ( (P)
      <=> ( (Q)
        <=> (S) ) ) ) ).

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