## TPTP Problem File: SEV408^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV408^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory
% Problem  : TPS problem from SETS-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0772 [Bro09]

% Status   : Theorem
% Rating   : 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    2 (   0 unit;   1 type;   0 defn)
%            Number of atoms       :    8 (   0 equality;   7 variable)
%            Maximal formula depth :    9 (   6 average)
%            Number of connectives :    7 (   0   ~;   0   |;   1   &;   4   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1   :;   0   =)
%            Number of variables   :    4 (   0 sgn;   2   !;   2   ?;   0   ^)
%                                         (   4   :;   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(cF,type,(
cF: ( \$i > \$o ) > \$o )).

thf(cBLEDSOE2_pme,conjecture,(
? [G: ( \$i > \$o ) > \$o] :
! [A: \$i > \$o] :
( ( G @ A )
=> ? [B: \$i > \$o] :
( ( cF @ B )
& ! [Xx: \$i] :
( ( A @ Xx )
=> ( B @ Xx ) ) ) ) )).

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