TSTP Solution File: SWB030+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB030+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 : Wed Feb 16 00:00:40 EST 2011

% Result   : Unsatisfiable 0.34s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   40 (   9 unt;   0 def)
%            Number of atoms       :  141 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  163 (  62   ~;  59   |;  35   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   74 (   4 sgn  44   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X3,X4] :
      ( iext(uri_owl_complementOf,X3,X4)
     => ( ic(X3)
        & ic(X4)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X4,X1) ) ) ),
    file('/tmp/tmp5gcvhF/sel_SWB030+1.p_1',owl_bool_complementof_class) ).

fof(43,axiom,
    ! [X3,X6,X8] :
      ( ( iext(uri_owl_hasSelf,X3,X8)
        & iext(uri_owl_onProperty,X3,X6) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> iext(X6,X1,X1) ) ),
    file('/tmp/tmp5gcvhF/sel_SWB030+1.p_1',owl_restrict_hasself) ).

fof(80,axiom,
    ! [X1,X4] :
      ( iext(uri_rdf_type,X1,X4)
    <=> icext(X4,X1) ),
    file('/tmp/tmp5gcvhF/sel_SWB030+1.p_1',rdfs_cext_def) ).

fof(90,axiom,
    ? [X9] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X9)
      & iext(uri_rdf_type,X9,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X9,uri_rdf_type)
      & iext(uri_owl_hasSelf,X9,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/tmp/tmp5gcvhF/sel_SWB030+1.p_1',testcase_premise_fullish_030_Bad_Class) ).

fof(91,plain,
    ! [X3,X4] :
      ( iext(uri_owl_complementOf,X3,X4)
     => ( ic(X3)
        & ic(X4)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X4,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(113,plain,
    ! [X3,X4] :
      ( ~ iext(uri_owl_complementOf,X3,X4)
      | ( ic(X3)
        & ic(X4)
        & ! [X1] :
            ( ( ~ icext(X3,X1)
              | ~ icext(X4,X1) )
            & ( icext(X4,X1)
              | icext(X3,X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[91]) ).

fof(114,plain,
    ! [X5,X6] :
      ( ~ iext(uri_owl_complementOf,X5,X6)
      | ( ic(X5)
        & ic(X6)
        & ! [X7] :
            ( ( ~ icext(X5,X7)
              | ~ icext(X6,X7) )
            & ( icext(X6,X7)
              | icext(X5,X7) ) ) ) ),
    inference(variable_rename,[status(thm)],[113]) ).

fof(115,plain,
    ! [X5,X6,X7] :
      ( ( ( ~ icext(X5,X7)
          | ~ icext(X6,X7) )
        & ( icext(X6,X7)
          | icext(X5,X7) )
        & ic(X5)
        & ic(X6) )
      | ~ iext(uri_owl_complementOf,X5,X6) ),
    inference(shift_quantors,[status(thm)],[114]) ).

fof(116,plain,
    ! [X5,X6,X7] :
      ( ( ~ icext(X5,X7)
        | ~ icext(X6,X7)
        | ~ iext(uri_owl_complementOf,X5,X6) )
      & ( icext(X6,X7)
        | icext(X5,X7)
        | ~ iext(uri_owl_complementOf,X5,X6) )
      & ( ic(X5)
        | ~ iext(uri_owl_complementOf,X5,X6) )
      & ( ic(X6)
        | ~ iext(uri_owl_complementOf,X5,X6) ) ),
    inference(distribute,[status(thm)],[115]) ).

cnf(119,plain,
    ( icext(X1,X3)
    | icext(X2,X3)
    | ~ iext(uri_owl_complementOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[116]) ).

cnf(120,plain,
    ( ~ iext(uri_owl_complementOf,X1,X2)
    | ~ icext(X2,X3)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[116]) ).

fof(206,plain,
    ! [X3,X6,X8] :
      ( ~ iext(uri_owl_hasSelf,X3,X8)
      | ~ iext(uri_owl_onProperty,X3,X6)
      | ! [X1] :
          ( ( ~ icext(X3,X1)
            | iext(X6,X1,X1) )
          & ( ~ iext(X6,X1,X1)
            | icext(X3,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[43]) ).

fof(207,plain,
    ! [X9,X10,X11] :
      ( ~ iext(uri_owl_hasSelf,X9,X11)
      | ~ iext(uri_owl_onProperty,X9,X10)
      | ! [X12] :
          ( ( ~ icext(X9,X12)
            | iext(X10,X12,X12) )
          & ( ~ iext(X10,X12,X12)
            | icext(X9,X12) ) ) ),
    inference(variable_rename,[status(thm)],[206]) ).

fof(208,plain,
    ! [X9,X10,X11,X12] :
      ( ( ( ~ icext(X9,X12)
          | iext(X10,X12,X12) )
        & ( ~ iext(X10,X12,X12)
          | icext(X9,X12) ) )
      | ~ iext(uri_owl_hasSelf,X9,X11)
      | ~ iext(uri_owl_onProperty,X9,X10) ),
    inference(shift_quantors,[status(thm)],[207]) ).

fof(209,plain,
    ! [X9,X10,X11,X12] :
      ( ( ~ icext(X9,X12)
        | iext(X10,X12,X12)
        | ~ iext(uri_owl_hasSelf,X9,X11)
        | ~ iext(uri_owl_onProperty,X9,X10) )
      & ( ~ iext(X10,X12,X12)
        | icext(X9,X12)
        | ~ iext(uri_owl_hasSelf,X9,X11)
        | ~ iext(uri_owl_onProperty,X9,X10) ) ),
    inference(distribute,[status(thm)],[208]) ).

cnf(210,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_hasSelf,X1,X3)
    | ~ iext(X2,X4,X4) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(211,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)],[209]) ).

fof(319,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)],[80]) ).

fof(320,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)],[319]) ).

cnf(321,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[320]) ).

cnf(322,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[320]) ).

fof(349,plain,
    ? [X10] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X10)
      & iext(uri_rdf_type,X10,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X10,uri_rdf_type)
      & iext(uri_owl_hasSelf,X10,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(variable_rename,[status(thm)],[90]) ).

fof(350,plain,
    ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_owl_complementOf,uri_ex_c,esk2_0)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk2_0,uri_rdf_type)
    & iext(uri_owl_hasSelf,esk2_0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(skolemize,[status(esa)],[349]) ).

cnf(351,plain,
    iext(uri_owl_hasSelf,esk2_0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[350]) ).

cnf(352,plain,
    iext(uri_owl_onProperty,esk2_0,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[350]) ).

cnf(354,plain,
    iext(uri_owl_complementOf,uri_ex_c,esk2_0),
    inference(split_conjunct,[status(thm)],[350]) ).

cnf(387,plain,
    ( icext(uri_ex_c,X1)
    | icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[119,354,theory(equality)]) ).

cnf(388,plain,
    ( iext(uri_rdf_type,X1,X1)
    | ~ iext(uri_owl_hasSelf,esk2_0,X2)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[211,352,theory(equality)]) ).

cnf(389,plain,
    ( icext(esk2_0,X1)
    | ~ iext(uri_owl_hasSelf,esk2_0,X2)
    | ~ iext(uri_rdf_type,X1,X1) ),
    inference(spm,[status(thm)],[210,352,theory(equality)]) ).

cnf(390,plain,
    ( ~ icext(esk2_0,X1)
    | ~ icext(uri_ex_c,X1) ),
    inference(spm,[status(thm)],[120,354,theory(equality)]) ).

cnf(427,plain,
    ( iext(uri_rdf_type,X1,X1)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[388,351,theory(equality)]) ).

cnf(429,plain,
    ( icext(X1,X1)
    | ~ icext(esk2_0,X1) ),
    inference(spm,[status(thm)],[322,427,theory(equality)]) ).

cnf(431,plain,
    ( icext(esk2_0,X1)
    | ~ iext(uri_rdf_type,X1,X1) ),
    inference(spm,[status(thm)],[389,351,theory(equality)]) ).

cnf(432,plain,
    ( icext(esk2_0,X1)
    | ~ icext(X1,X1) ),
    inference(spm,[status(thm)],[431,321,theory(equality)]) ).

cnf(436,plain,
    icext(esk2_0,uri_ex_c),
    inference(spm,[status(thm)],[432,387,theory(equality)]) ).

cnf(441,plain,
    icext(uri_ex_c,uri_ex_c),
    inference(spm,[status(thm)],[429,436,theory(equality)]) ).

cnf(443,plain,
    ~ icext(esk2_0,uri_ex_c),
    inference(spm,[status(thm)],[390,441,theory(equality)]) ).

cnf(445,plain,
    $false,
    inference(rw,[status(thm)],[443,436,theory(equality)]) ).

cnf(446,plain,
    $false,
    inference(cn,[status(thm)],[445,theory(equality)]) ).

cnf(447,plain,
    $false,
    446,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB030+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp5gcvhF/sel_SWB030+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem SWB030+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB030+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB030+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------