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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB014+3 : 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 Feb 25 01:21:58 EST 2011

% Result   : Theorem 6.91s
% Output   : CNFRefutation 6.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (  14 unt;   0 def)
%            Number of atoms       :  292 (   0 equ)
%            Maximal formula atoms :   71 (   6 avg)
%            Number of connectives :  405 ( 157   ~; 173   |;  71   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-5 aty)
%            Number of variables   :   85 (   0 sgn  44   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(34,axiom,
    ! [X5,X6,X7,X8,X9] :
      ( ( iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,X8)
        & iext(uri_rdf_first,X8,X9)
        & iext(uri_rdf_rest,X8,uri_rdf_nil) )
     => ( iext(uri_owl_unionOf,X5,X6)
      <=> ( ic(X5)
          & ic(X7)
          & ic(X9)
          & ! [X1] :
              ( icext(X5,X1)
            <=> ( icext(X7,X1)
                | icext(X9,X1) ) ) ) ) ),
    file('/tmp/tmpElO_Y1/sel_SWB014+3.p_1',owl_bool_unionof_class_002) ).

fof(39,axiom,
    ! [X1,X4] :
      ( iext(uri_rdf_type,X1,X4)
    <=> icext(X4,X1) ),
    file('/tmp/tmpElO_Y1/sel_SWB014+3.p_1',rdfs_cext_def) ).

fof(41,axiom,
    ? [X14,X15,X16] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,X14)
      & iext(uri_owl_unionOf,X14,X15)
      & iext(uri_rdf_first,X15,uri_ex_Eagle)
      & iext(uri_rdf_rest,X15,X16)
      & iext(uri_rdf_first,X16,uri_ex_Falcon)
      & iext(uri_rdf_rest,X16,uri_rdf_nil) ),
    file('/tmp/tmpElO_Y1/sel_SWB014+3.p_1',testcase_premise_fullish_014_Harry_belongs_to_some_Species) ).

fof(42,conjecture,
    ? [X17] :
      ( iext(uri_rdf_type,uri_ex_harry,X17)
      & iext(uri_rdf_type,X17,uri_ex_Species) ),
    file('/tmp/tmpElO_Y1/sel_SWB014+3.p_1',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species) ).

fof(43,negated_conjecture,
    ~ ? [X17] :
        ( iext(uri_rdf_type,uri_ex_harry,X17)
        & iext(uri_rdf_type,X17,uri_ex_Species) ),
    inference(assume_negation,[status(cth)],[42]) ).

fof(211,plain,
    ! [X5,X6,X7,X8,X9] :
      ( ~ iext(uri_rdf_first,X6,X7)
      | ~ iext(uri_rdf_rest,X6,X8)
      | ~ iext(uri_rdf_first,X8,X9)
      | ~ iext(uri_rdf_rest,X8,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_unionOf,X5,X6)
          | ( ic(X5)
            & ic(X7)
            & ic(X9)
            & ! [X1] :
                ( ( ~ icext(X5,X1)
                  | icext(X7,X1)
                  | icext(X9,X1) )
                & ( ( ~ icext(X7,X1)
                    & ~ icext(X9,X1) )
                  | icext(X5,X1) ) ) ) )
        & ( ~ ic(X5)
          | ~ ic(X7)
          | ~ ic(X9)
          | ? [X1] :
              ( ( ~ icext(X5,X1)
                | ( ~ icext(X7,X1)
                  & ~ icext(X9,X1) ) )
              & ( icext(X5,X1)
                | icext(X7,X1)
                | icext(X9,X1) ) )
          | iext(uri_owl_unionOf,X5,X6) ) ) ),
    inference(fof_nnf,[status(thm)],[34]) ).

fof(212,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ iext(uri_rdf_first,X11,X12)
      | ~ iext(uri_rdf_rest,X11,X13)
      | ~ iext(uri_rdf_first,X13,X14)
      | ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_unionOf,X10,X11)
          | ( ic(X10)
            & ic(X12)
            & ic(X14)
            & ! [X15] :
                ( ( ~ icext(X10,X15)
                  | icext(X12,X15)
                  | icext(X14,X15) )
                & ( ( ~ icext(X12,X15)
                    & ~ icext(X14,X15) )
                  | icext(X10,X15) ) ) ) )
        & ( ~ ic(X10)
          | ~ ic(X12)
          | ~ ic(X14)
          | ? [X16] :
              ( ( ~ icext(X10,X16)
                | ( ~ icext(X12,X16)
                  & ~ icext(X14,X16) ) )
              & ( icext(X10,X16)
                | icext(X12,X16)
                | icext(X14,X16) ) )
          | iext(uri_owl_unionOf,X10,X11) ) ) ),
    inference(variable_rename,[status(thm)],[211]) ).

fof(213,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ~ iext(uri_rdf_first,X11,X12)
      | ~ iext(uri_rdf_rest,X11,X13)
      | ~ iext(uri_rdf_first,X13,X14)
      | ~ iext(uri_rdf_rest,X13,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_unionOf,X10,X11)
          | ( ic(X10)
            & ic(X12)
            & ic(X14)
            & ! [X15] :
                ( ( ~ icext(X10,X15)
                  | icext(X12,X15)
                  | icext(X14,X15) )
                & ( ( ~ icext(X12,X15)
                    & ~ icext(X14,X15) )
                  | icext(X10,X15) ) ) ) )
        & ( ~ ic(X10)
          | ~ ic(X12)
          | ~ ic(X14)
          | ( ( ~ icext(X10,esk13_5(X10,X11,X12,X13,X14))
              | ( ~ icext(X12,esk13_5(X10,X11,X12,X13,X14))
                & ~ icext(X14,esk13_5(X10,X11,X12,X13,X14)) ) )
            & ( icext(X10,esk13_5(X10,X11,X12,X13,X14))
              | icext(X12,esk13_5(X10,X11,X12,X13,X14))
              | icext(X14,esk13_5(X10,X11,X12,X13,X14)) ) )
          | iext(uri_owl_unionOf,X10,X11) ) ) ),
    inference(skolemize,[status(esa)],[212]) ).

fof(214,plain,
    ! [X10,X11,X12,X13,X14,X15] :
      ( ( ( ( ( ~ icext(X10,X15)
              | icext(X12,X15)
              | icext(X14,X15) )
            & ( ( ~ icext(X12,X15)
                & ~ icext(X14,X15) )
              | icext(X10,X15) )
            & ic(X10)
            & ic(X12)
            & ic(X14) )
          | ~ iext(uri_owl_unionOf,X10,X11) )
        & ( ~ ic(X10)
          | ~ ic(X12)
          | ~ ic(X14)
          | ( ( ~ icext(X10,esk13_5(X10,X11,X12,X13,X14))
              | ( ~ icext(X12,esk13_5(X10,X11,X12,X13,X14))
                & ~ icext(X14,esk13_5(X10,X11,X12,X13,X14)) ) )
            & ( icext(X10,esk13_5(X10,X11,X12,X13,X14))
              | icext(X12,esk13_5(X10,X11,X12,X13,X14))
              | icext(X14,esk13_5(X10,X11,X12,X13,X14)) ) )
          | iext(uri_owl_unionOf,X10,X11) ) )
      | ~ iext(uri_rdf_first,X11,X12)
      | ~ iext(uri_rdf_rest,X11,X13)
      | ~ iext(uri_rdf_first,X13,X14)
      | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ),
    inference(shift_quantors,[status(thm)],[213]) ).

fof(215,plain,
    ! [X10,X11,X12,X13,X14,X15] :
      ( ( ~ icext(X10,X15)
        | icext(X12,X15)
        | icext(X14,X15)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X12,X15)
        | icext(X10,X15)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X14,X15)
        | icext(X10,X15)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ic(X10)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ic(X12)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ic(X14)
        | ~ iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X12,esk13_5(X10,X11,X12,X13,X14))
        | ~ icext(X10,esk13_5(X10,X11,X12,X13,X14))
        | ~ ic(X10)
        | ~ ic(X12)
        | ~ ic(X14)
        | iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X14,esk13_5(X10,X11,X12,X13,X14))
        | ~ icext(X10,esk13_5(X10,X11,X12,X13,X14))
        | ~ ic(X10)
        | ~ ic(X12)
        | ~ ic(X14)
        | iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( icext(X10,esk13_5(X10,X11,X12,X13,X14))
        | icext(X12,esk13_5(X10,X11,X12,X13,X14))
        | icext(X14,esk13_5(X10,X11,X12,X13,X14))
        | ~ ic(X10)
        | ~ ic(X12)
        | ~ ic(X14)
        | iext(uri_owl_unionOf,X10,X11)
        | ~ iext(uri_rdf_first,X11,X12)
        | ~ iext(uri_rdf_rest,X11,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[214]) ).

cnf(224,plain,
    ( icext(X2,X6)
    | icext(X4,X6)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_unionOf,X5,X3)
    | ~ icext(X5,X6) ),
    inference(split_conjunct,[status(thm)],[215]) ).

fof(236,plain,
    ! [X1,X4] :
      ( ( ~ iext(uri_rdf_type,X1,X4)
        | icext(X4,X1) )
      & ( ~ icext(X4,X1)
        | iext(uri_rdf_type,X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[39]) ).

fof(237,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_rdf_type,X5,X6)
        | icext(X6,X5) )
      & ( ~ icext(X6,X5)
        | iext(uri_rdf_type,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[236]) ).

cnf(238,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[237]) ).

cnf(239,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[237]) ).

fof(241,plain,
    ? [X17,X18,X19] :
      ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
      & iext(uri_rdf_type,uri_ex_harry,X17)
      & iext(uri_owl_unionOf,X17,X18)
      & iext(uri_rdf_first,X18,uri_ex_Eagle)
      & iext(uri_rdf_rest,X18,X19)
      & iext(uri_rdf_first,X19,uri_ex_Falcon)
      & iext(uri_rdf_rest,X19,uri_rdf_nil) ),
    inference(variable_rename,[status(thm)],[41]) ).

fof(242,plain,
    ( iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)
    & iext(uri_rdf_type,uri_ex_harry,esk14_0)
    & iext(uri_owl_unionOf,esk14_0,esk15_0)
    & iext(uri_rdf_first,esk15_0,uri_ex_Eagle)
    & iext(uri_rdf_rest,esk15_0,esk16_0)
    & iext(uri_rdf_first,esk16_0,uri_ex_Falcon)
    & iext(uri_rdf_rest,esk16_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[241]) ).

cnf(243,plain,
    iext(uri_rdf_rest,esk16_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(244,plain,
    iext(uri_rdf_first,esk16_0,uri_ex_Falcon),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(245,plain,
    iext(uri_rdf_rest,esk15_0,esk16_0),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(246,plain,
    iext(uri_rdf_first,esk15_0,uri_ex_Eagle),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(247,plain,
    iext(uri_owl_unionOf,esk14_0,esk15_0),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(248,plain,
    iext(uri_rdf_type,uri_ex_harry,esk14_0),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(249,plain,
    iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[242]) ).

cnf(250,plain,
    iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species),
    inference(split_conjunct,[status(thm)],[242]) ).

fof(251,negated_conjecture,
    ! [X17] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X17)
      | ~ iext(uri_rdf_type,X17,uri_ex_Species) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(252,negated_conjecture,
    ! [X18] :
      ( ~ iext(uri_rdf_type,uri_ex_harry,X18)
      | ~ iext(uri_rdf_type,X18,uri_ex_Species) ),
    inference(variable_rename,[status(thm)],[251]) ).

cnf(253,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_Species)
    | ~ iext(uri_rdf_type,uri_ex_harry,X1) ),
    inference(split_conjunct,[status(thm)],[252]) ).

cnf(294,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(spm,[status(thm)],[253,250,theory(equality)]) ).

cnf(295,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon),
    inference(spm,[status(thm)],[253,249,theory(equality)]) ).

cnf(450,plain,
    ( icext(X1,X2)
    | icext(X3,X2)
    | ~ icext(X4,X2)
    | ~ iext(uri_rdf_first,X5,X3)
    | ~ iext(uri_rdf_first,esk16_0,X1)
    | ~ iext(uri_owl_unionOf,X4,X5)
    | ~ iext(uri_rdf_rest,X5,esk16_0) ),
    inference(spm,[status(thm)],[224,243,theory(equality)]) ).

cnf(2571,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk16_0,X2)
    | ~ iext(uri_rdf_rest,esk15_0,esk16_0)
    | ~ iext(uri_owl_unionOf,X3,esk15_0) ),
    inference(spm,[status(thm)],[450,246,theory(equality)]) ).

cnf(2575,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk16_0,X2)
    | $false
    | ~ iext(uri_owl_unionOf,X3,esk15_0) ),
    inference(rw,[status(thm)],[2571,245,theory(equality)]) ).

cnf(2576,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk16_0,X2)
    | ~ iext(uri_owl_unionOf,X3,esk15_0) ),
    inference(cn,[status(thm)],[2575,theory(equality)]) ).

cnf(9064,plain,
    ( icext(uri_ex_Eagle,X1)
    | icext(X2,X1)
    | ~ iext(uri_rdf_first,esk16_0,X2)
    | ~ iext(uri_owl_unionOf,X3,esk15_0)
    | ~ iext(uri_rdf_type,X1,X3) ),
    inference(spm,[status(thm)],[2576,239,theory(equality)]) ).

cnf(52268,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(X1,uri_ex_harry)
    | ~ iext(uri_rdf_first,esk16_0,X1)
    | ~ iext(uri_owl_unionOf,esk14_0,esk15_0) ),
    inference(spm,[status(thm)],[9064,248,theory(equality)]) ).

cnf(52487,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(X1,uri_ex_harry)
    | ~ iext(uri_rdf_first,esk16_0,X1)
    | $false ),
    inference(rw,[status(thm)],[52268,247,theory(equality)]) ).

cnf(52488,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(X1,uri_ex_harry)
    | ~ iext(uri_rdf_first,esk16_0,X1) ),
    inference(cn,[status(thm)],[52487,theory(equality)]) ).

cnf(52595,plain,
    ( icext(uri_ex_Eagle,uri_ex_harry)
    | icext(uri_ex_Falcon,uri_ex_harry) ),
    inference(spm,[status(thm)],[52488,244,theory(equality)]) ).

cnf(52631,plain,
    ( iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)
    | icext(uri_ex_Eagle,uri_ex_harry) ),
    inference(spm,[status(thm)],[238,52595,theory(equality)]) ).

cnf(52642,plain,
    icext(uri_ex_Eagle,uri_ex_harry),
    inference(sr,[status(thm)],[52631,295,theory(equality)]) ).

cnf(52649,plain,
    iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle),
    inference(spm,[status(thm)],[238,52642,theory(equality)]) ).

cnf(52661,plain,
    $false,
    inference(sr,[status(thm)],[52649,294,theory(equality)]) ).

cnf(52662,plain,
    $false,
    52661,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB014+3.p
% --creating new selector for [SWB002+0.ax]
% -running prover on /tmp/tmpElO_Y1/sel_SWB014+3.p_1 with time limit 29
% -prover status Theorem
% Problem SWB014+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB014+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB014+3.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
% 
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