## TPTP Problem File: SYO302^5.p

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```%------------------------------------------------------------------------------
% File     : SYO302^5 : TPTP v7.2.0. 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_0781 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.33 v4.1.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    5 (   0 unit;   4 type;   0 defn)
%            Number of atoms       :   12 (   0 equality;   3 variable)
%            Maximal formula depth :    7 (   3 average)
%            Number of connectives :   13 (   2   ~;   0   |;   3   &;   7   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4   :;   0   =)
%            Number of variables   :    1 (   0 sgn;   0   !;   1   ?;   0   ^)
%                                         (   1   :;   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
%          :
%------------------------------------------------------------------------------
thf(c,type,(
c: \$i )).

thf(b,type,(
b: \$i )).

thf(a,type,(
a: \$i )).

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

thf(cBLEDSOE4,conjecture,
( ( ( c_less_ @ a @ b )
& ( c_less_ @ b @ c ) )
=> ? [A: \$i > \$o] :
( ~ ( A @ a )
& ( A @ b )
& ~ ( A @ c ) ) )).

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