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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB106+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 00:55:34 EST 2011

% Result   : Theorem 0.36s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   71 (  18 unt;   0 def)
%            Number of atoms       :  264 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  326 ( 133   ~; 131   |;  52   &)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-4 aty)
%            Number of variables   :  133 (   9 sgn  91   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(23,axiom,
    ! [X1] : ir(X1),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',simple_ir) ).

fof(39,axiom,
    ! [X8,X9] :
      ( iext(uri_rdfs_subClassOf,X8,X9)
    <=> ( ic(X8)
        & ic(X9)
        & ! [X1] :
            ( icext(X8,X1)
           => icext(X9,X1) ) ) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_rdfsext_subclassof) ).

fof(42,axiom,
    ! [X10,X6,X2] :
      ( ( iext(uri_owl_someValuesFrom,X10,X2)
        & iext(uri_owl_onProperty,X10,X6) )
     => ! [X1] :
          ( icext(X10,X1)
        <=> ? [X11] :
              ( iext(X6,X1,X11)
              & icext(X2,X11) ) ) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_restrict_somevaluesfrom) ).

fof(44,axiom,
    ! [X1,X11] :
      ( iext(uri_owl_onProperty,X1,X11)
     => ( icext(uri_owl_Restriction,X1)
        & ip(X11) ) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_prop_onproperty_ext) ).

fof(47,axiom,
    ! [X10,X6,X12] :
      ( ( iext(uri_owl_hasSelf,X10,X12)
        & iext(uri_owl_onProperty,X10,X6) )
     => ! [X1] :
          ( icext(X10,X1)
        <=> iext(X6,X1,X1) ) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_restrict_hasself) ).

fof(85,axiom,
    ! [X1] :
      ( icext(uri_owl_Restriction,X1)
     => ic(X1) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_class_restriction_ext) ).

fof(89,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_class_thing_ext) ).

fof(91,axiom,
    ! [X1,X11] :
      ( iext(uri_owl_someValuesFrom,X1,X11)
     => ( icext(uri_owl_Restriction,X1)
        & ic(X11) ) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',owl_prop_somevaluesfrom_ext) ).

fof(99,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_z1,uri_ex_z2),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',conclusion_rdfbased_sem_restrict_term_selfsome) ).

fof(100,axiom,
    ( iext(uri_owl_someValuesFrom,uri_ex_z2,uri_owl_Thing)
    & iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
    & iext(uri_owl_hasSelf,uri_ex_z1,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
    file('/tmp/tmp2aDb5e/sel_SWB106+1.p_1',premise_rdfbased_sem_restrict_term_selfsome) ).

fof(101,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_z1,uri_ex_z2),
    inference(assume_negation,[status(cth)],[99]) ).

fof(102,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_z1,uri_ex_z2),
    inference(fof_simplification,[status(thm)],[101,theory(equality)]) ).

fof(159,plain,
    ! [X2] : ir(X2),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(160,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[159]) ).

fof(207,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdfs_subClassOf,X8,X9)
        | ( ic(X8)
          & ic(X9)
          & ! [X1] :
              ( ~ icext(X8,X1)
              | icext(X9,X1) ) ) )
      & ( ~ ic(X8)
        | ~ ic(X9)
        | ? [X1] :
            ( icext(X8,X1)
            & ~ icext(X9,X1) )
        | iext(uri_rdfs_subClassOf,X8,X9) ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(208,plain,
    ! [X10,X11] :
      ( ( ~ iext(uri_rdfs_subClassOf,X10,X11)
        | ( ic(X10)
          & ic(X11)
          & ! [X12] :
              ( ~ icext(X10,X12)
              | icext(X11,X12) ) ) )
      & ( ~ ic(X10)
        | ~ ic(X11)
        | ? [X13] :
            ( icext(X10,X13)
            & ~ icext(X11,X13) )
        | iext(uri_rdfs_subClassOf,X10,X11) ) ),
    inference(variable_rename,[status(thm)],[207]) ).

fof(209,plain,
    ! [X10,X11] :
      ( ( ~ iext(uri_rdfs_subClassOf,X10,X11)
        | ( ic(X10)
          & ic(X11)
          & ! [X12] :
              ( ~ icext(X10,X12)
              | icext(X11,X12) ) ) )
      & ( ~ ic(X10)
        | ~ ic(X11)
        | ( icext(X10,esk1_2(X10,X11))
          & ~ icext(X11,esk1_2(X10,X11)) )
        | iext(uri_rdfs_subClassOf,X10,X11) ) ),
    inference(skolemize,[status(esa)],[208]) ).

fof(210,plain,
    ! [X10,X11,X12] :
      ( ( ( ( ~ icext(X10,X12)
            | icext(X11,X12) )
          & ic(X10)
          & ic(X11) )
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ~ ic(X10)
        | ~ ic(X11)
        | ( icext(X10,esk1_2(X10,X11))
          & ~ icext(X11,esk1_2(X10,X11)) )
        | iext(uri_rdfs_subClassOf,X10,X11) ) ),
    inference(shift_quantors,[status(thm)],[209]) ).

fof(211,plain,
    ! [X10,X11,X12] :
      ( ( ~ icext(X10,X12)
        | icext(X11,X12)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ic(X10)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ic(X11)
        | ~ iext(uri_rdfs_subClassOf,X10,X11) )
      & ( icext(X10,esk1_2(X10,X11))
        | ~ ic(X10)
        | ~ ic(X11)
        | iext(uri_rdfs_subClassOf,X10,X11) )
      & ( ~ icext(X11,esk1_2(X10,X11))
        | ~ ic(X10)
        | ~ ic(X11)
        | iext(uri_rdfs_subClassOf,X10,X11) ) ),
    inference(distribute,[status(thm)],[210]) ).

cnf(212,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[211]) ).

cnf(213,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[211]) ).

fof(223,plain,
    ! [X10,X6,X2] :
      ( ~ iext(uri_owl_someValuesFrom,X10,X2)
      | ~ iext(uri_owl_onProperty,X10,X6)
      | ! [X1] :
          ( ( ~ icext(X10,X1)
            | ? [X11] :
                ( iext(X6,X1,X11)
                & icext(X2,X11) ) )
          & ( ! [X11] :
                ( ~ iext(X6,X1,X11)
                | ~ icext(X2,X11) )
            | icext(X10,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(224,plain,
    ! [X12,X13,X14] :
      ( ~ iext(uri_owl_someValuesFrom,X12,X14)
      | ~ iext(uri_owl_onProperty,X12,X13)
      | ! [X15] :
          ( ( ~ icext(X12,X15)
            | ? [X16] :
                ( iext(X13,X15,X16)
                & icext(X14,X16) ) )
          & ( ! [X17] :
                ( ~ iext(X13,X15,X17)
                | ~ icext(X14,X17) )
            | icext(X12,X15) ) ) ),
    inference(variable_rename,[status(thm)],[223]) ).

fof(225,plain,
    ! [X12,X13,X14] :
      ( ~ iext(uri_owl_someValuesFrom,X12,X14)
      | ~ iext(uri_owl_onProperty,X12,X13)
      | ! [X15] :
          ( ( ~ icext(X12,X15)
            | ( iext(X13,X15,esk2_4(X12,X13,X14,X15))
              & icext(X14,esk2_4(X12,X13,X14,X15)) ) )
          & ( ! [X17] :
                ( ~ iext(X13,X15,X17)
                | ~ icext(X14,X17) )
            | icext(X12,X15) ) ) ),
    inference(skolemize,[status(esa)],[224]) ).

fof(226,plain,
    ! [X12,X13,X14,X15,X17] :
      ( ( ( ~ iext(X13,X15,X17)
          | ~ icext(X14,X17)
          | icext(X12,X15) )
        & ( ~ icext(X12,X15)
          | ( iext(X13,X15,esk2_4(X12,X13,X14,X15))
            & icext(X14,esk2_4(X12,X13,X14,X15)) ) ) )
      | ~ iext(uri_owl_someValuesFrom,X12,X14)
      | ~ iext(uri_owl_onProperty,X12,X13) ),
    inference(shift_quantors,[status(thm)],[225]) ).

fof(227,plain,
    ! [X12,X13,X14,X15,X17] :
      ( ( ~ iext(X13,X15,X17)
        | ~ icext(X14,X17)
        | icext(X12,X15)
        | ~ iext(uri_owl_someValuesFrom,X12,X14)
        | ~ iext(uri_owl_onProperty,X12,X13) )
      & ( iext(X13,X15,esk2_4(X12,X13,X14,X15))
        | ~ icext(X12,X15)
        | ~ iext(uri_owl_someValuesFrom,X12,X14)
        | ~ iext(uri_owl_onProperty,X12,X13) )
      & ( icext(X14,esk2_4(X12,X13,X14,X15))
        | ~ icext(X12,X15)
        | ~ iext(uri_owl_someValuesFrom,X12,X14)
        | ~ iext(uri_owl_onProperty,X12,X13) ) ),
    inference(distribute,[status(thm)],[226]) ).

cnf(230,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X3,X5)
    | ~ iext(X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[227]) ).

fof(234,plain,
    ! [X1,X11] :
      ( ~ iext(uri_owl_onProperty,X1,X11)
      | ( icext(uri_owl_Restriction,X1)
        & ip(X11) ) ),
    inference(fof_nnf,[status(thm)],[44]) ).

fof(235,plain,
    ! [X12,X13] :
      ( ~ iext(uri_owl_onProperty,X12,X13)
      | ( icext(uri_owl_Restriction,X12)
        & ip(X13) ) ),
    inference(variable_rename,[status(thm)],[234]) ).

fof(236,plain,
    ! [X12,X13] :
      ( ( icext(uri_owl_Restriction,X12)
        | ~ iext(uri_owl_onProperty,X12,X13) )
      & ( ip(X13)
        | ~ iext(uri_owl_onProperty,X12,X13) ) ),
    inference(distribute,[status(thm)],[235]) ).

cnf(238,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[236]) ).

fof(245,plain,
    ! [X10,X6,X12] :
      ( ~ iext(uri_owl_hasSelf,X10,X12)
      | ~ iext(uri_owl_onProperty,X10,X6)
      | ! [X1] :
          ( ( ~ icext(X10,X1)
            | iext(X6,X1,X1) )
          & ( ~ iext(X6,X1,X1)
            | icext(X10,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[47]) ).

fof(246,plain,
    ! [X13,X14,X15] :
      ( ~ iext(uri_owl_hasSelf,X13,X15)
      | ~ iext(uri_owl_onProperty,X13,X14)
      | ! [X16] :
          ( ( ~ icext(X13,X16)
            | iext(X14,X16,X16) )
          & ( ~ iext(X14,X16,X16)
            | icext(X13,X16) ) ) ),
    inference(variable_rename,[status(thm)],[245]) ).

fof(247,plain,
    ! [X13,X14,X15,X16] :
      ( ( ( ~ icext(X13,X16)
          | iext(X14,X16,X16) )
        & ( ~ iext(X14,X16,X16)
          | icext(X13,X16) ) )
      | ~ iext(uri_owl_hasSelf,X13,X15)
      | ~ iext(uri_owl_onProperty,X13,X14) ),
    inference(shift_quantors,[status(thm)],[246]) ).

fof(248,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ icext(X13,X16)
        | iext(X14,X16,X16)
        | ~ iext(uri_owl_hasSelf,X13,X15)
        | ~ iext(uri_owl_onProperty,X13,X14) )
      & ( ~ iext(X14,X16,X16)
        | icext(X13,X16)
        | ~ iext(uri_owl_hasSelf,X13,X15)
        | ~ iext(uri_owl_onProperty,X13,X14) ) ),
    inference(distribute,[status(thm)],[247]) ).

cnf(250,plain,
    ( iext(X2,X4,X4)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_hasSelf,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[248]) ).

fof(355,plain,
    ! [X1] :
      ( ~ icext(uri_owl_Restriction,X1)
      | ic(X1) ),
    inference(fof_nnf,[status(thm)],[85]) ).

fof(356,plain,
    ! [X2] :
      ( ~ icext(uri_owl_Restriction,X2)
      | ic(X2) ),
    inference(variable_rename,[status(thm)],[355]) ).

cnf(357,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[356]) ).

fof(365,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_Thing,X1)
        | ir(X1) )
      & ( ~ ir(X1)
        | icext(uri_owl_Thing,X1) ) ),
    inference(fof_nnf,[status(thm)],[89]) ).

fof(366,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_Thing,X2)
        | ir(X2) )
      & ( ~ ir(X2)
        | icext(uri_owl_Thing,X2) ) ),
    inference(variable_rename,[status(thm)],[365]) ).

cnf(367,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[366]) ).

fof(372,plain,
    ! [X1,X11] :
      ( ~ iext(uri_owl_someValuesFrom,X1,X11)
      | ( icext(uri_owl_Restriction,X1)
        & ic(X11) ) ),
    inference(fof_nnf,[status(thm)],[91]) ).

fof(373,plain,
    ! [X12,X13] :
      ( ~ iext(uri_owl_someValuesFrom,X12,X13)
      | ( icext(uri_owl_Restriction,X12)
        & ic(X13) ) ),
    inference(variable_rename,[status(thm)],[372]) ).

fof(374,plain,
    ! [X12,X13] :
      ( ( icext(uri_owl_Restriction,X12)
        | ~ iext(uri_owl_someValuesFrom,X12,X13) )
      & ( ic(X13)
        | ~ iext(uri_owl_someValuesFrom,X12,X13) ) ),
    inference(distribute,[status(thm)],[373]) ).

cnf(376,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(split_conjunct,[status(thm)],[374]) ).

cnf(399,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_z1,uri_ex_z2),
    inference(split_conjunct,[status(thm)],[102]) ).

cnf(400,plain,
    iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[100]) ).

cnf(401,plain,
    iext(uri_owl_hasSelf,uri_ex_z1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[100]) ).

cnf(402,plain,
    iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
    inference(split_conjunct,[status(thm)],[100]) ).

cnf(403,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z2,uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[100]) ).

cnf(414,plain,
    ( icext(uri_owl_Thing,X1)
    | $false ),
    inference(rw,[status(thm)],[367,160,theory(equality)]),
    [unfolding] ).

cnf(456,plain,
    icext(uri_owl_Restriction,uri_ex_z2),
    inference(spm,[status(thm)],[376,403,theory(equality)]) ).

cnf(457,plain,
    icext(uri_owl_Restriction,uri_ex_z1),
    inference(spm,[status(thm)],[238,400,theory(equality)]) ).

cnf(467,plain,
    ( iext(uri_ex_p,X1,X1)
    | ~ iext(uri_owl_hasSelf,uri_ex_z1,X2)
    | ~ icext(uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[250,400,theory(equality)]) ).

cnf(496,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X2)
    | ~ iext(X2,X1,X3)
    | ~ icext(uri_owl_Thing,X3) ),
    inference(spm,[status(thm)],[230,403,theory(equality)]) ).

cnf(497,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X2)
    | ~ iext(X2,X1,X3)
    | $false ),
    inference(rw,[status(thm)],[496,414,theory(equality)]) ).

cnf(498,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X2)
    | ~ iext(X2,X1,X3) ),
    inference(cn,[status(thm)],[497,theory(equality)]) ).

cnf(670,plain,
    ( iext(uri_ex_p,X1,X1)
    | ~ icext(uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[467,401,theory(equality)]) ).

cnf(708,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[498,402,theory(equality)]) ).

cnf(711,plain,
    ( icext(uri_ex_z2,X1)
    | ~ icext(uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[708,670,theory(equality)]) ).

cnf(712,plain,
    ( icext(uri_ex_z2,esk1_2(uri_ex_z1,X1))
    | iext(uri_rdfs_subClassOf,uri_ex_z1,X1)
    | ~ ic(X1)
    | ~ ic(uri_ex_z1) ),
    inference(spm,[status(thm)],[711,213,theory(equality)]) ).

cnf(724,plain,
    ( iext(uri_rdfs_subClassOf,uri_ex_z1,uri_ex_z2)
    | ~ ic(uri_ex_z2)
    | ~ ic(uri_ex_z1) ),
    inference(spm,[status(thm)],[212,712,theory(equality)]) ).

cnf(725,plain,
    ( ~ ic(uri_ex_z2)
    | ~ ic(uri_ex_z1) ),
    inference(sr,[status(thm)],[724,399,theory(equality)]) ).

cnf(728,plain,
    ( ~ ic(uri_ex_z2)
    | ~ icext(uri_owl_Restriction,uri_ex_z1) ),
    inference(spm,[status(thm)],[725,357,theory(equality)]) ).

cnf(729,plain,
    ( ~ ic(uri_ex_z2)
    | $false ),
    inference(rw,[status(thm)],[728,457,theory(equality)]) ).

cnf(730,plain,
    ~ ic(uri_ex_z2),
    inference(cn,[status(thm)],[729,theory(equality)]) ).

cnf(731,plain,
    ~ icext(uri_owl_Restriction,uri_ex_z2),
    inference(spm,[status(thm)],[730,357,theory(equality)]) ).

cnf(732,plain,
    $false,
    inference(rw,[status(thm)],[731,456,theory(equality)]) ).

cnf(733,plain,
    $false,
    inference(cn,[status(thm)],[732,theory(equality)]) ).

cnf(734,plain,
    $false,
    733,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB106+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp2aDb5e/sel_SWB106+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB106+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB106+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB106+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
% 
%------------------------------------------------------------------------------