## TPTP Problem File: SYO278^5.p

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```%------------------------------------------------------------------------------
% File     : SYO278^5 : 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_0605 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.33 v4.1.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    4 (   0 unit;   3 type;   0 defn)
%            Number of atoms       :    3 (   0 equality;   1 variable)
%            Maximal formula depth :    5 (   3 average)
%            Number of connectives :    2 (   0   ~;   0   |;   0   &;   1   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3   :;   0   =)
%            Number of variables   :    1 (   0 sgn;   1   !;   0   ?;   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
%            Mellon University. Distributed under the Creative Commons copyleft
%          :
%------------------------------------------------------------------------------
thf(a_type,type,(
a: \$tType )).

thf(q,type,(
q: \$o )).

thf(r,type,(
r: ( ( a > \$o ) > \$o ) > \$o )).

thf(cPRIMQWFF,conjecture,
( ! [Xp: ( a > \$o ) > \$o] :
( r @ Xp )
=> q )).

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