## TPTP Problem File: SYO093^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SYO093^5 : TPTP v7.1.0. Released v4.0.0.
% Domain   : Syntactic
% Problem  : TPS problem THM63
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0202 [Bro09]
%          : THM63 [TPS]

% Status   : Theorem
% Rating   : 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    2 (   0 unit;   1 type;   0 defn)
%            Number of atoms       :    9 (   0 equality;   6 variable)
%            Maximal formula depth :    8 (   6 average)
%            Number of connectives :    8 (   0   ~;   1   |;   0   &;   6   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1   :;   0   =)
%            Number of variables   :    5 (   0 sgn;   4   !;   1   ?;   0   ^)
%                                         (   5   :;   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(cP,type,(
cP: \$i > \$i > \$o )).

thf(cTHM63,conjecture,
( ! [U: \$i,V: \$i,W: \$i] :
( ( cP @ U @ V )
| ( cP @ V @ W ) )
=> ? [X: \$i] :
! [Y: \$i] :
( cP @ X @ Y ) )).

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