## TPTP Problem File: SYO137^5.p

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```%------------------------------------------------------------------------------
% File     : SYO137^5 : TPTP v7.0.0. Released v4.0.0.
% Domain   : Syntactic
% Problem  : TPS problem from BASIC-FO-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0733 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.33 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.00 v5.4.0, 0.67 v5.0.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    3 (   0 unit;   2 type;   0 defn)
%            Number of atoms       :    8 (   0 equality;   4 variable)
%            Maximal formula depth :    6 (   4 average)
%            Number of connectives :    7 (   0   ~;   0   |;   0   &;   4   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2   :;   0   =)
%            Number of variables   :    3 (   0 sgn;   3   !;   0   ?;   0   ^)
%                                         (   3   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_CSA_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(cN,type,(
cN: \$i > \$o )).

thf(cM,type,(
cM: \$i > \$o )).

thf(cX2304,conjecture,
( ( ! [Xx: \$i] :
( ( cM @ Xx )
<=> ( cN @ Xx ) )
<=> ! [Xx: \$i] :
( cM @ Xx ) )
<=> ! [Xx: \$i] :
( cN @ Xx ) )).

%------------------------------------------------------------------------------
```