## TPTP Problem File: SEV373^5.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SEV373^5 : 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_0739 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :    2 (   0 unit;   1 type;   0 defn)
%            Number of atoms       :   11 (   1 equality;   6 variable)
%            Maximal formula depth :    9 (   6 average)
%            Number of connectives :    8 (   0   ~;   0   |;   0   &;   8   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   1   :;   0   =)
%            Number of variables   :    3 (   0 sgn;   3   !;   0   ?;   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
%            Mellon University. Distributed under the Creative Commons copyleft
%            license: http://creativecommons.org/licenses/by-sa/3.0/
%------------------------------------------------------------------------------
thf(cGVB_COMPOSE,type,(
cGVB_COMPOSE: \$i > \$i > \$i )).

thf(cGVB_COMP_PROP_1,conjecture,(
! [Xf: \$i,Xg: \$i,Xh: \$i] :
( ( cGVB_COMPOSE @ Xf @ ( cGVB_COMPOSE @ Xg @ Xh ) )
= ( cGVB_COMPOSE @ ( cGVB_COMPOSE @ Xf @ Xg ) @ Xh ) ) )).

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