TPTP Problem File: SEV379^5.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : SEV379^5 : 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_0866 [Bro09]

% Status   : CounterSatisfiable
% Rating   : 0.00 v4.0.0
% Syntax   : Number of formulae    :    3 (   0 unit;   2 type;   0 defn)
%            Number of atoms       :   21 (   3 equality;  12 variable)
%            Maximal formula depth :   13 (   7 average)
%            Number of connectives :   14 (   0   ~;   0   |;   5   &;   8   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2   :;   0   =)
%            Number of variables   :    4 (   0 sgn;   4   !;   0   ?;   0   ^)
%                                         (   4   :;   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_OP,type,(
    cGVB_OP: $i > $i > $i )).

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

thf(cGVB_OP_PROP_1,conjecture,(
    ! [Xa: $i,Xb: $i,Xc: $i,Xd: $i] :
      ( ( ( cGVB_M @ Xa )
        & ( cGVB_M @ Xb )
        & ( cGVB_M @ Xc )
        & ( cGVB_M @ Xd )
        & ( ( cGVB_OP @ Xa @ Xb )
          = ( cGVB_OP @ Xc @ Xd ) ) )
     => ( ( Xa = Xc )
        & ( Xb = Xd ) ) ) )).

%------------------------------------------------------------------------------