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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB009+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 : Tue Feb 15 23:41:31 EST 2011

% Result   : Theorem 0.32s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (   5 unt;   0 def)
%            Number of atoms       :  125 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  157 (  65   ~;  58   |;  31   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   65 (   0 sgn  37   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    ! [X6,X4,X7] :
      ( ( iext(uri_owl_someValuesFrom,X6,X7)
        & iext(uri_owl_onProperty,X6,X4) )
     => ! [X1] :
          ( icext(X6,X1)
        <=> ? [X2] :
              ( iext(X4,X1,X2)
              & icext(X7,X2) ) ) ),
    file('/tmp/tmpP6znUS/sel_SWB009+1.p_1',owl_restrict_somevaluesfrom) ).

fof(12,axiom,
    ! [X1,X7] :
      ( iext(uri_rdf_type,X1,X7)
    <=> icext(X7,X1) ),
    file('/tmp/tmpP6znUS/sel_SWB009+1.p_1',rdfs_cext_def) ).

fof(14,conjecture,
    ? [X8] :
      ( iext(uri_ex_p,uri_ex_s,X8)
      & iext(uri_rdf_type,X8,uri_ex_c) ),
    file('/tmp/tmpP6znUS/sel_SWB009+1.p_1',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(15,axiom,
    ? [X9] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X9)
      & iext(uri_rdf_type,X9,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X9,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X9,uri_ex_c) ),
    file('/tmp/tmpP6znUS/sel_SWB009+1.p_1',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(16,negated_conjecture,
    ~ ? [X8] :
        ( iext(uri_ex_p,uri_ex_s,X8)
        & iext(uri_rdf_type,X8,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[14]) ).

fof(45,plain,
    ! [X6,X4,X7] :
      ( ~ iext(uri_owl_someValuesFrom,X6,X7)
      | ~ iext(uri_owl_onProperty,X6,X4)
      | ! [X1] :
          ( ( ~ icext(X6,X1)
            | ? [X2] :
                ( iext(X4,X1,X2)
                & icext(X7,X2) ) )
          & ( ! [X2] :
                ( ~ iext(X4,X1,X2)
                | ~ icext(X7,X2) )
            | icext(X6,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(46,plain,
    ! [X8,X9,X10] :
      ( ~ iext(uri_owl_someValuesFrom,X8,X10)
      | ~ iext(uri_owl_onProperty,X8,X9)
      | ! [X11] :
          ( ( ~ icext(X8,X11)
            | ? [X12] :
                ( iext(X9,X11,X12)
                & icext(X10,X12) ) )
          & ( ! [X13] :
                ( ~ iext(X9,X11,X13)
                | ~ icext(X10,X13) )
            | icext(X8,X11) ) ) ),
    inference(variable_rename,[status(thm)],[45]) ).

fof(47,plain,
    ! [X8,X9,X10] :
      ( ~ iext(uri_owl_someValuesFrom,X8,X10)
      | ~ iext(uri_owl_onProperty,X8,X9)
      | ! [X11] :
          ( ( ~ icext(X8,X11)
            | ( iext(X9,X11,esk1_4(X8,X9,X10,X11))
              & icext(X10,esk1_4(X8,X9,X10,X11)) ) )
          & ( ! [X13] :
                ( ~ iext(X9,X11,X13)
                | ~ icext(X10,X13) )
            | icext(X8,X11) ) ) ),
    inference(skolemize,[status(esa)],[46]) ).

fof(48,plain,
    ! [X8,X9,X10,X11,X13] :
      ( ( ( ~ iext(X9,X11,X13)
          | ~ icext(X10,X13)
          | icext(X8,X11) )
        & ( ~ icext(X8,X11)
          | ( iext(X9,X11,esk1_4(X8,X9,X10,X11))
            & icext(X10,esk1_4(X8,X9,X10,X11)) ) ) )
      | ~ iext(uri_owl_someValuesFrom,X8,X10)
      | ~ iext(uri_owl_onProperty,X8,X9) ),
    inference(shift_quantors,[status(thm)],[47]) ).

fof(49,plain,
    ! [X8,X9,X10,X11,X13] :
      ( ( ~ iext(X9,X11,X13)
        | ~ icext(X10,X13)
        | icext(X8,X11)
        | ~ iext(uri_owl_someValuesFrom,X8,X10)
        | ~ iext(uri_owl_onProperty,X8,X9) )
      & ( iext(X9,X11,esk1_4(X8,X9,X10,X11))
        | ~ icext(X8,X11)
        | ~ iext(uri_owl_someValuesFrom,X8,X10)
        | ~ iext(uri_owl_onProperty,X8,X9) )
      & ( icext(X10,esk1_4(X8,X9,X10,X11))
        | ~ icext(X8,X11)
        | ~ iext(uri_owl_someValuesFrom,X8,X10)
        | ~ iext(uri_owl_onProperty,X8,X9) ) ),
    inference(distribute,[status(thm)],[48]) ).

cnf(50,plain,
    ( icext(X3,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[49]) ).

cnf(51,plain,
    ( iext(X2,X4,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(53,plain,
    ! [X1,X7] :
      ( ( ~ iext(uri_rdf_type,X1,X7)
        | icext(X7,X1) )
      & ( ~ icext(X7,X1)
        | iext(uri_rdf_type,X1,X7) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(54,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdf_type,X8,X9)
        | icext(X9,X8) )
      & ( ~ icext(X9,X8)
        | iext(uri_rdf_type,X8,X9) ) ),
    inference(variable_rename,[status(thm)],[53]) ).

cnf(55,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[54]) ).

cnf(56,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[54]) ).

fof(58,negated_conjecture,
    ! [X8] :
      ( ~ iext(uri_ex_p,uri_ex_s,X8)
      | ~ iext(uri_rdf_type,X8,uri_ex_c) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(59,negated_conjecture,
    ! [X9] :
      ( ~ iext(uri_ex_p,uri_ex_s,X9)
      | ~ iext(uri_rdf_type,X9,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[58]) ).

cnf(60,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X1) ),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(61,plain,
    ? [X10] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X10)
      & iext(uri_rdf_type,X10,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X10,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X10,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[15]) ).

fof(62,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_s,esk2_0)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    & iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(skolemize,[status(esa)],[61]) ).

cnf(63,plain,
    iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[62]) ).

cnf(64,plain,
    iext(uri_owl_onProperty,esk2_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[62]) ).

cnf(66,plain,
    iext(uri_rdf_type,uri_ex_s,esk2_0),
    inference(split_conjunct,[status(thm)],[62]) ).

cnf(91,plain,
    ( iext(uri_rdf_type,esk1_4(X1,X2,X3,X4),X3)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(spm,[status(thm)],[55,50,theory(equality)]) ).

cnf(95,negated_conjecture,
    ( ~ iext(uri_rdf_type,esk1_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2)
    | ~ icext(X1,uri_ex_s) ),
    inference(spm,[status(thm)],[60,51,theory(equality)]) ).

cnf(142,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ icext(X1,uri_ex_s) ),
    inference(spm,[status(thm)],[95,91,theory(equality)]) ).

cnf(144,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_rdf_type,uri_ex_s,X1) ),
    inference(spm,[status(thm)],[142,56,theory(equality)]) ).

cnf(160,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(spm,[status(thm)],[144,66,theory(equality)]) ).

cnf(163,negated_conjecture,
    ( $false
    | ~ iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(rw,[status(thm)],[160,64,theory(equality)]) ).

cnf(164,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[163,63,theory(equality)]) ).

cnf(165,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[164,theory(equality)]) ).

cnf(166,negated_conjecture,
    $false,
    165,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB009+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpP6znUS/sel_SWB009+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB009+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB009+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB009+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
% 
%------------------------------------------------------------------------------