## TPTP Problem File: SEV364^5.p

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%------------------------------------------------------------------------------
% File     : SEV364^5 : 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_0898 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :    8 (   0 unit;   7 type;   0 defn)
%            Number of atoms       :   28 (   1 equality;   9 variable)
%            Maximal formula depth :   15 (   4 average)
%            Number of connectives :   25 (   0   ~;   0   |;   6   &;  18   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7   :;   0   =)
%            Number of variables   :    3 (   0 sgn;   0   !;   3   ?;   0   ^)
%                                         (   3   :;   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
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thf(g,type,(
g: \$i )).

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

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

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

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

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

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

thf(cGVB_AX_COMPOSE,conjecture,
( ( cGVB_IN @ z @ ( cGVB_COMPOSE @ g @ f ) )
<=> ( ( cGVB_M @ z )
& ? [Xx: \$i,Xy: \$i,Xw: \$i] :
( ( cGVB_M @ Xx )
& ( cGVB_M @ Xy )
& ( cGVB_M @ Xw )
& ( z
= ( cGVB_OP @ Xx @ Xy ) )
& ( cGVB_IN @ ( cGVB_OP @ Xx @ Xw ) @ f )
& ( cGVB_IN @ ( cGVB_OP @ Xw @ Xy ) @ g ) ) ) )).

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