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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB057+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Fri Mar  4 00:42:44 EST 2011

% Result   : Theorem 0.32s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :   96 (   7 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  102 (  40   ~;  30   |;  26   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   42 (   0 sgn  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_complementOf,X1,X2)
     => ( ic(X1)
        & ic(X2)
        & ! [X3] :
            ( icext(X1,X3)
          <=> ~ icext(X2,X3) ) ) ),
    file('/tmp/tmpHPt9FL/sel_SWB057+1.p_1',owl_bool_complementof_class) ).

fof(8,axiom,
    ! [X3,X4] :
      ( iext(uri_owl_differentFrom,X3,X4)
    <=> X3 != X4 ),
    file('/tmp/tmpHPt9FL/sel_SWB057+1.p_1',owl_eqdis_differentfrom) ).

fof(15,axiom,
    ! [X3,X2] :
      ( iext(uri_rdf_type,X3,X2)
    <=> icext(X2,X3) ),
    file('/tmp/tmpHPt9FL/sel_SWB057+1.p_1',rdfs_cext_def) ).

fof(17,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/tmp/tmpHPt9FL/sel_SWB057+1.p_1',conclusion_rdfbased_sem_eqdis_different_ext) ).

fof(18,axiom,
    ? [X8] :
      ( iext(uri_rdf_type,uri_ex_u,X8)
      & iext(uri_owl_complementOf,X8,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    file('/tmp/tmpHPt9FL/sel_SWB057+1.p_1',premise_rdfbased_sem_eqdis_different_ext) ).

fof(19,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[17]) ).

fof(20,plain,
    ! [X1,X2] :
      ( iext(uri_owl_complementOf,X1,X2)
     => ( ic(X1)
        & ic(X2)
        & ! [X3] :
            ( icext(X1,X3)
          <=> ~ icext(X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(21,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).

fof(22,plain,
    ! [X1,X2] :
      ( ~ iext(uri_owl_complementOf,X1,X2)
      | ( ic(X1)
        & ic(X2)
        & ! [X3] :
            ( ( ~ icext(X1,X3)
              | ~ icext(X2,X3) )
            & ( icext(X2,X3)
              | icext(X1,X3) ) ) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(23,plain,
    ! [X4,X5] :
      ( ~ iext(uri_owl_complementOf,X4,X5)
      | ( ic(X4)
        & ic(X5)
        & ! [X6] :
            ( ( ~ icext(X4,X6)
              | ~ icext(X5,X6) )
            & ( icext(X5,X6)
              | icext(X4,X6) ) ) ) ),
    inference(variable_rename,[status(thm)],[22]) ).

fof(24,plain,
    ! [X4,X5,X6] :
      ( ( ( ~ icext(X4,X6)
          | ~ icext(X5,X6) )
        & ( icext(X5,X6)
          | icext(X4,X6) )
        & ic(X4)
        & ic(X5) )
      | ~ iext(uri_owl_complementOf,X4,X5) ),
    inference(shift_quantors,[status(thm)],[23]) ).

fof(25,plain,
    ! [X4,X5,X6] :
      ( ( ~ icext(X4,X6)
        | ~ icext(X5,X6)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( icext(X5,X6)
        | icext(X4,X6)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( ic(X4)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_owl_complementOf,X4,X5) ) ),
    inference(distribute,[status(thm)],[24]) ).

cnf(29,plain,
    ( ~ iext(uri_owl_complementOf,X1,X2)
    | ~ icext(X2,X3)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[25]) ).

fof(51,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_owl_differentFrom,X3,X4)
        | X3 != X4 )
      & ( X3 = X4
        | iext(uri_owl_differentFrom,X3,X4) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(52,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_differentFrom,X5,X6)
        | X5 != X6 )
      & ( X5 = X6
        | iext(uri_owl_differentFrom,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[51]) ).

cnf(53,plain,
    ( iext(uri_owl_differentFrom,X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(75,plain,
    ! [X3,X2] :
      ( ( ~ iext(uri_rdf_type,X3,X2)
        | icext(X2,X3) )
      & ( ~ icext(X2,X3)
        | iext(uri_rdf_type,X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(76,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdf_type,X4,X5)
        | icext(X5,X4) )
      & ( ~ icext(X5,X4)
        | iext(uri_rdf_type,X4,X5) ) ),
    inference(variable_rename,[status(thm)],[75]) ).

cnf(78,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[76]) ).

cnf(80,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(81,plain,
    ? [X9] :
      ( iext(uri_rdf_type,uri_ex_u,X9)
      & iext(uri_owl_complementOf,X9,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(82,plain,
    ( iext(uri_rdf_type,uri_ex_u,esk2_0)
    & iext(uri_owl_complementOf,esk2_0,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
    inference(skolemize,[status(esa)],[81]) ).

cnf(83,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(split_conjunct,[status(thm)],[82]) ).

cnf(84,plain,
    iext(uri_owl_complementOf,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[82]) ).

cnf(85,plain,
    iext(uri_rdf_type,uri_ex_u,esk2_0),
    inference(split_conjunct,[status(thm)],[82]) ).

cnf(96,negated_conjecture,
    uri_ex_w = uri_ex_u,
    inference(spm,[status(thm)],[80,53,theory(equality)]) ).

cnf(108,plain,
    ( ~ icext(uri_ex_c,X1)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[29,84,theory(equality)]) ).

cnf(109,plain,
    iext(uri_rdf_type,uri_ex_w,esk2_0),
    inference(rw,[status(thm)],[85,96,theory(equality)]) ).

cnf(115,plain,
    ( ~ icext(esk2_0,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[108,78,theory(equality)]) ).

cnf(117,plain,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_rdf_type,X1,esk2_0) ),
    inference(spm,[status(thm)],[115,78,theory(equality)]) ).

cnf(118,plain,
    ~ iext(uri_rdf_type,uri_ex_w,esk2_0),
    inference(spm,[status(thm)],[117,83,theory(equality)]) ).

cnf(119,plain,
    $false,
    inference(rw,[status(thm)],[118,109,theory(equality)]) ).

cnf(120,plain,
    $false,
    inference(cn,[status(thm)],[119,theory(equality)]) ).

cnf(121,plain,
    $false,
    120,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB057+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpHPt9FL/sel_SWB057+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB057+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB057+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB057+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------