## TPTP Problem File: SEV180^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV180^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory (Sets of sets)
% Problem  : TPS problem from CANTOR-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0626 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :    5 (   0 unit;   4 type;   0 defn)
%            Number of atoms       :    6 (   0 equality;   0 variable)
%            Maximal formula depth :    6 (   4 average)
%            Number of connectives :    6 (   1   ~;   1   |;   0   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4   :;   0   =)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   ^)
%                                         (   0   :;   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
%------------------------------------------------------------------------------
thf(cF,type,(
cF: \$i > \$o )).

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

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

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

thf(cCANTOR_PROBLEM,conjecture,
( ~ ( cQ @ ( cG @ ( cJ @ cF ) ) )
| ( cQ @ cF ) )).

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