## TPTP Problem File: SEV345^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV345^5 : 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_0740 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v5.4.0, 0.67 v5.0.0, 0.00 v4.0.0
% Syntax   : Number of formulae    :    9 (   0 unit;   8 type;   0 defn)
%            Number of atoms       :   14 (   1 equality;   0 variable)
%            Maximal formula depth :    7 (   3 average)
%            Number of connectives :   11 (   0   ~;   0   |;   2   &;   8   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8   :;   0   =)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   ^)
%                                         (   0   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_CSA_EQU_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(f,type,(
f: \$i )).

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

thf(cGVB_RANGE,type,(
cGVB_RANGE: \$i > \$i )).

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

thf(cGVB_DOMAIN,type,(
cGVB_DOMAIN: \$i > \$i )).

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

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

thf(cGVB_AX_MAPS,conjecture,
( ( cGVB_MAPS @ f @ x @ y )
<=> ( ( cGVB_FUNCTION @ f )
& ( ( cGVB_DOMAIN @ f )
= x )
& ( cGVB_SUBSET @ ( cGVB_RANGE @ f ) @ y ) ) )).

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