## TPTP Problem File: SEV346^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV346^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory (GvNB)
% Problem  : TPS problem from GVB-MB-AXIOMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0741 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :    6 (   0 unit;   5 type;   0 defn)
%            Number of atoms       :   11 (   0 equality;   3 variable)
%            Maximal formula depth :    8 (   4 average)
%            Number of connectives :   11 (   1   ~;   0   |;   1   &;   7   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5   :;   0   =)
%            Number of variables   :    1 (   0 sgn;   1   !;   0   ?;   0   ^)
%                                         (   1   :;   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(y,type,(
y: \$i )).

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

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

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

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

thf(cGVB_AX_DISJOINT,conjecture,
( ( cGVB_DISJOINT @ x @ y )
<=> ! [Xu: \$i] :
( ( cGVB_M @ Xu )
=> ~ ( ( cGVB_IN @ Xu @ x )
& ( cGVB_IN @ Xu @ y ) ) ) )).

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