## TPTP Problem File: SEV376^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV376^5 : TPTP v7.5.0. Released v4.0.0.
% Domain   : Set Theory (GvNB)
% Problem  : TPS problem from GVB-MB-THMS
% Version  : Especial.
% English  :

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0792 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :   11 (   0 unit;  10 type;   0 defn)
%            Number of atoms       :   20 (   0 equality;   0 variable)
%            Maximal formula depth :    9 (   3 average)
%            Number of connectives :   19 (   0   ~;   0   |;   1   &;  17   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10   :;   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(f3,type,(
f3: \$i )).

thf(s3,type,(
s3: \$i )).

thf(f1,type,(
f1: \$i )).

thf(s1,type,(
s1: \$i )).

thf(h1,type,(
h1: \$i )).

thf(h2,type,(
h2: \$i )).

thf(f2,type,(
f2: \$i )).

thf(s2,type,(
s2: \$i )).

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

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

thf(cGVB_HOMOM_THM,conjecture,
( ( ( cGVB_HOMOM @ h1 @ s1 @ f1 @ s2 @ f2 )
& ( cGVB_HOMOM @ h2 @ s2 @ f2 @ s3 @ f3 ) )
=> ( cGVB_HOMOM @ ( cGVB_COMPOSE @ h2 @ h1 ) @ s1 @ f1 @ s3 @ f3 ) )).

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