%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET016-7 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:23:49 EDT 2009

% Result   : Unsatisfiable 1.2s
% Output   : Refutation 1.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_ordered_pair_determines_components1_3,plain,
    ~ $equal(y,w),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),
    [] ).

cnf(152271912,plain,
    ~ $equal(y,w),
    inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_3]),
    [] ).

fof(prove_ordered_pair_determines_components1_2,plain,
    member(w,universal_class),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),
    [] ).

cnf(152268136,plain,
    member(w,universal_class),
    inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_2]),
    [] ).

fof(ordered_pair_determines_components1,plain,
    ! [C,D,A,B] :
      ( ~ $equal(ordered_pair(C,D),ordered_pair(A,B))
      | ~ member(A,universal_class)
      | $equal(C,A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),
    [] ).

cnf(152148936,plain,
    ( ~ $equal(ordered_pair(C,D),ordered_pair(A,B))
    | ~ member(A,universal_class)
    | $equal(C,A) ),
    inference(rewrite,[status(thm)],[ordered_pair_determines_components1]),
    [] ).

fof(prove_ordered_pair_determines_components1_1,plain,
    $equal(ordered_pair(y,z),ordered_pair(w,x)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),
    [] ).

cnf(152259632,plain,
    $equal(ordered_pair(y,z),ordered_pair(w,x)),
    inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_1]),
    [] ).

cnf(192669616,plain,
    $equal(y,w),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152268136,152148936,152259632]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[152271912,192669616]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_ordered_pair_determines_components1_3,plain,(~$equal(y,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),[]).
% 
% cnf(152271912,plain,(~$equal(y,w)),inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_3]),[]).
% 
% fof(prove_ordered_pair_determines_components1_2,plain,(member(w,universal_class)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),[]).
% 
% cnf(152268136,plain,(member(w,universal_class)),inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_2]),[]).
% 
% fof(ordered_pair_determines_components1,plain,(~$equal(ordered_pair(C,D),ordered_pair(A,B))|~member(A,universal_class)|$equal(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),[]).
% 
% cnf(152148936,plain,(~$equal(ordered_pair(C,D),ordered_pair(A,B))|~member(A,universal_class)|$equal(C,A)),inference(rewrite,[status(thm)],[ordered_pair_determines_components1]),[]).
% 
% fof(prove_ordered_pair_determines_components1_1,plain,($equal(ordered_pair(y,z),ordered_pair(w,x))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET016-7.tptp',unknown),[]).
% 
% cnf(152259632,plain,($equal(ordered_pair(y,z),ordered_pair(w,x))),inference(rewrite,[status(thm)],[prove_ordered_pair_determines_components1_1]),[]).
% 
% cnf(192669616,plain,($equal(y,w)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152268136,152148936,152259632]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152271912,192669616]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------