TPTP Problem File: SEV383^5.p

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%------------------------------------------------------------------------------
% File     : SEV383^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory
% Problem  : TPS problem BLEDSOE-FENG-7
% Version  : Especial.
% English  : There is some set that doesn't contain a given object a - so the
%            empty set works.

% Refs     : [BF93]  Bledsoe & Feng (1993), SET-VAR
%          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0011 [Bro09]
%          : BLEDSOE-FENG-7 [TPS]
%          : Example 7 [BF93]

% 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       :    2 (   0 equality;   1 variable)
%            Maximal formula depth :    4 (   3 average)
%            Number of connectives :    2 (   1   ~;   0   |;   0   &;   1   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   1   :;   0   =)
%            Number of variables   :    1 (   0 sgn;   0   !;   1   ?;   0   ^)
%                                         (   1   :;   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
%            Mellon University. Distributed under the Creative Commons copyleft
%            license: http://creativecommons.org/licenses/by-sa/3.0/
%------------------------------------------------------------------------------
thf(a,type,(
    a: $i )).

thf(cBLEDSOE_FENG_7,conjecture,(
    ? [A: $i > $o] :
      ~ ( A @ a ) )).

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