%------------------------------------------------------------------------------
% File     : SYO308^5 : TPTP v9.0.0. Released v4.0.0.
% Domain   : Syntactic
% Problem  : TPS problem from BASIC-HO-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0830 [Bro09]

% Status   : Theorem
% Rating   : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
%            Number of atoms       :    4 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   13 (   0   ~;   2   |;   0   &;   7   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)
% SPC      : TH0_THM_NEQ_NAR

% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
%            project in the Department of Mathematical Sciences at Carnegie
%            Mellon University. Distributed under the Creative Commons copyleft
%            license: http://creativecommons.org/licenses/by-sa/3.0/
%------------------------------------------------------------------------------
thf(cB,type,
    cB: $i > $o ).

thf(cA,type,
    cA: $i > $o ).

thf(cSET81_pme,conjecture,
    ! [Z1: $i > $o] :
      ( ( ! [Z3: $i] :
            ( ( Z1 @ Z3 )
           => ( cA @ Z3 ) )
        | ! [Z4: $i] :
            ( ( Z1 @ Z4 )
           => ( cB @ Z4 ) ) )
     => ! [Z5: $i] :
          ( ( Z1 @ Z5 )
         => ( ( cA @ Z5 )
            | ( cB @ Z5 ) ) ) ) ).

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