## TPTP Problem File: SYO288^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SYO288^5 : TPTP v7.1.0. 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_0694 [Bro09]

% Status   : Theorem
% Rating   : 0.38 v7.1.0, 0.43 v7.0.0, 0.50 v6.4.0, 0.43 v6.3.0, 0.33 v6.2.0, 0.50 v6.1.0, 0.33 v6.0.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.75 v4.1.0, 0.67 v4.0.0
% Syntax   : Number of formulae    :    4 (   0 unit;   3 type;   0 defn)
%            Number of atoms       :    8 (   0 equality;   5 variable)
%            Maximal formula depth :    7 (   4 average)
%            Number of connectives :    7 (   0   ~;   0   |;   1   &;   5   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3   :;   0   =)
%            Number of variables   :    2 (   0 sgn;   1   !;   1   ?;   0   ^)
%                                         (   2   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% 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
%          :
%------------------------------------------------------------------------------
thf(cB,type,(
cB: \$i > \$i > \$o )).

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

thf(c0,type,(
c0: \$i )).

thf(cSV10,conjecture,(
? [Xv: \$i > \$i > \$o] :
! [Xx: \$i] :
( ( Xv @ Xx @ c0 )
<=> ( ( cA @ Xx )
& ( cB @ Xx @ Xx ) ) ) )).

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