TSTP Solution File: SWB032+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB032+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 00:02:19 EST 2011

% Result   : Theorem 0.31s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   76 (  14 unt;   0 def)
%            Number of atoms       :  263 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  308 ( 121   ~; 131   |;  48   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   83 (   0 sgn  54   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(13,axiom,
    ! [X1] :
      ( icext(uri_xsd_string,X1)
     => icext(uri_rdf_PlainLiteral,X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(17,axiom,
    ! [X1] :
      ( icext(uri_xsd_decimal,X1)
     => icext(uri_owl_rational,X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(21,axiom,
    ! [X4,X5] :
      ( iext(uri_owl_disjointWith,X4,X5)
    <=> ( ic(X4)
        & ic(X5)
        & ! [X1] :
            ~ ( icext(X4,X1)
              & icext(X5,X1) ) ) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_eqdis_disjointwith) ).

fof(22,axiom,
    idc(uri_xsd_integer),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_integer_type) ).

fof(26,axiom,
    ! [X1] :
      ( icext(uri_owl_rational,X1)
     => icext(uri_owl_real,X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_relation_subtype_rational_real) ).

fof(31,axiom,
    ! [X1] :
      ( icext(uri_xsd_integer,X1)
     => icext(uri_xsd_decimal,X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(32,axiom,
    ! [X1] :
      ~ ( icext(uri_rdf_PlainLiteral,X1)
        & icext(uri_owl_real,X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(35,axiom,
    idc(uri_xsd_string),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_string_type) ).

fof(48,axiom,
    idc(uri_xsd_decimal),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_dat_dtype_decimal_type) ).

fof(51,axiom,
    ! [X4,X5] :
      ( iext(uri_rdfs_subClassOf,X4,X5)
    <=> ( ic(X4)
        & ic(X5)
        & ! [X1] :
            ( icext(X4,X1)
           => icext(X5,X1) ) ) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_rdfsext_subclassof) ).

fof(57,axiom,
    ! [X1] :
      ( idc(X1)
     => ic(X1) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',owl_parts_idc_cond_set) ).

fof(60,conjecture,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    file('/tmp/tmpWyNctK/sel_SWB032+1.p_1',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(61,negated_conjecture,
    ~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
      & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(assume_negation,[status(cth)],[60]) ).

fof(92,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_string,X1)
      | icext(uri_rdf_PlainLiteral,X1) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(93,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_string,X2)
      | icext(uri_rdf_PlainLiteral,X2) ),
    inference(variable_rename,[status(thm)],[92]) ).

cnf(94,plain,
    ( icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(split_conjunct,[status(thm)],[93]) ).

fof(105,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_decimal,X1)
      | icext(uri_owl_rational,X1) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(106,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_decimal,X2)
      | icext(uri_owl_rational,X2) ),
    inference(variable_rename,[status(thm)],[105]) ).

cnf(107,plain,
    ( icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(split_conjunct,[status(thm)],[106]) ).

fof(114,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_owl_disjointWith,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X1] :
              ( ~ icext(X4,X1)
              | ~ icext(X5,X1) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ? [X1] :
            ( icext(X4,X1)
            & icext(X5,X1) )
        | iext(uri_owl_disjointWith,X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(115,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_owl_disjointWith,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | ~ icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ? [X9] :
            ( icext(X6,X9)
            & icext(X7,X9) )
        | iext(uri_owl_disjointWith,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[114]) ).

fof(116,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_owl_disjointWith,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | ~ icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk1_2(X6,X7))
          & icext(X7,esk1_2(X6,X7)) )
        | iext(uri_owl_disjointWith,X6,X7) ) ),
    inference(skolemize,[status(esa)],[115]) ).

fof(117,plain,
    ! [X6,X7,X8] :
      ( ( ( ( ~ icext(X6,X8)
            | ~ icext(X7,X8) )
          & ic(X6)
          & ic(X7) )
        | ~ iext(uri_owl_disjointWith,X6,X7) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk1_2(X6,X7))
          & icext(X7,esk1_2(X6,X7)) )
        | iext(uri_owl_disjointWith,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[116]) ).

fof(118,plain,
    ! [X6,X7,X8] :
      ( ( ~ icext(X6,X8)
        | ~ icext(X7,X8)
        | ~ iext(uri_owl_disjointWith,X6,X7) )
      & ( ic(X6)
        | ~ iext(uri_owl_disjointWith,X6,X7) )
      & ( ic(X7)
        | ~ iext(uri_owl_disjointWith,X6,X7) )
      & ( icext(X6,esk1_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_owl_disjointWith,X6,X7) )
      & ( icext(X7,esk1_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_owl_disjointWith,X6,X7) ) ),
    inference(distribute,[status(thm)],[117]) ).

cnf(119,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X2,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[118]) ).

cnf(120,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[118]) ).

cnf(124,plain,
    idc(uri_xsd_integer),
    inference(split_conjunct,[status(thm)],[22]) ).

fof(130,plain,
    ! [X1] :
      ( ~ icext(uri_owl_rational,X1)
      | icext(uri_owl_real,X1) ),
    inference(fof_nnf,[status(thm)],[26]) ).

fof(131,plain,
    ! [X2] :
      ( ~ icext(uri_owl_rational,X2)
      | icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[130]) ).

cnf(132,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(split_conjunct,[status(thm)],[131]) ).

fof(145,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_integer,X1)
      | icext(uri_xsd_decimal,X1) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(146,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_integer,X2)
      | icext(uri_xsd_decimal,X2) ),
    inference(variable_rename,[status(thm)],[145]) ).

cnf(147,plain,
    ( icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_integer,X1) ),
    inference(split_conjunct,[status(thm)],[146]) ).

fof(148,plain,
    ! [X1] :
      ( ~ icext(uri_rdf_PlainLiteral,X1)
      | ~ icext(uri_owl_real,X1) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(149,plain,
    ! [X2] :
      ( ~ icext(uri_rdf_PlainLiteral,X2)
      | ~ icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[148]) ).

cnf(150,plain,
    ( ~ icext(uri_owl_real,X1)
    | ~ icext(uri_rdf_PlainLiteral,X1) ),
    inference(split_conjunct,[status(thm)],[149]) ).

cnf(157,plain,
    idc(uri_xsd_string),
    inference(split_conjunct,[status(thm)],[35]) ).

cnf(198,plain,
    idc(uri_xsd_decimal),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(205,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdfs_subClassOf,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X1] :
              ( ~ icext(X4,X1)
              | icext(X5,X1) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ? [X1] :
            ( icext(X4,X1)
            & ~ icext(X5,X1) )
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[51]) ).

fof(206,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdfs_subClassOf,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ? [X9] :
            ( icext(X6,X9)
            & ~ icext(X7,X9) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[205]) ).

fof(207,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdfs_subClassOf,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk3_2(X6,X7))
          & ~ icext(X7,esk3_2(X6,X7)) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(skolemize,[status(esa)],[206]) ).

fof(208,plain,
    ! [X6,X7,X8] :
      ( ( ( ( ~ icext(X6,X8)
            | icext(X7,X8) )
          & ic(X6)
          & ic(X7) )
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk3_2(X6,X7))
          & ~ icext(X7,esk3_2(X6,X7)) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[207]) ).

fof(209,plain,
    ! [X6,X7,X8] :
      ( ( ~ icext(X6,X8)
        | icext(X7,X8)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ic(X6)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ic(X7)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( icext(X6,esk3_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ~ icext(X7,esk3_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(distribute,[status(thm)],[208]) ).

cnf(210,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(211,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk3_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

fof(233,plain,
    ! [X1] :
      ( ~ idc(X1)
      | ic(X1) ),
    inference(fof_nnf,[status(thm)],[57]) ).

fof(234,plain,
    ! [X2] :
      ( ~ idc(X2)
      | ic(X2) ),
    inference(variable_rename,[status(thm)],[233]) ).

cnf(235,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[234]) ).

fof(241,negated_conjecture,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(fof_nnf,[status(thm)],[61]) ).

cnf(242,negated_conjecture,
    ( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(split_conjunct,[status(thm)],[241]) ).

cnf(258,plain,
    ic(uri_xsd_integer),
    inference(spm,[status(thm)],[235,124,theory(equality)]) ).

cnf(259,plain,
    ic(uri_xsd_string),
    inference(spm,[status(thm)],[235,157,theory(equality)]) ).

cnf(260,plain,
    ic(uri_xsd_decimal),
    inference(spm,[status(thm)],[235,198,theory(equality)]) ).

cnf(283,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[132,107,theory(equality)]) ).

cnf(294,plain,
    ( icext(uri_rdf_PlainLiteral,esk1_2(X1,uri_xsd_string))
    | iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ ic(uri_xsd_string)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[94,119,theory(equality)]) ).

cnf(317,plain,
    ( icext(uri_xsd_decimal,esk3_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1)
    | ~ ic(uri_xsd_integer) ),
    inference(spm,[status(thm)],[147,211,theory(equality)]) ).

cnf(479,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[150,283,theory(equality)]) ).

cnf(493,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,X1)
    | ~ icext(uri_rdf_PlainLiteral,esk1_2(uri_xsd_decimal,X1))
    | ~ ic(X1)
    | ~ ic(uri_xsd_decimal) ),
    inference(spm,[status(thm)],[479,120,theory(equality)]) ).

cnf(498,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,X1)
    | ~ icext(uri_rdf_PlainLiteral,esk1_2(uri_xsd_decimal,X1))
    | ~ ic(X1)
    | $false ),
    inference(rw,[status(thm)],[493,260,theory(equality)]) ).

cnf(499,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,X1)
    | ~ icext(uri_rdf_PlainLiteral,esk1_2(uri_xsd_decimal,X1))
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[498,theory(equality)]) ).

cnf(600,plain,
    ( icext(uri_rdf_PlainLiteral,esk1_2(X1,uri_xsd_string))
    | iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | $false
    | ~ ic(X1) ),
    inference(rw,[status(thm)],[294,259,theory(equality)]) ).

cnf(601,plain,
    ( icext(uri_rdf_PlainLiteral,esk1_2(X1,uri_xsd_string))
    | iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[600,theory(equality)]) ).

cnf(603,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ ic(uri_xsd_string)
    | ~ ic(uri_xsd_decimal) ),
    inference(spm,[status(thm)],[499,601,theory(equality)]) ).

cnf(607,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | $false
    | ~ ic(uri_xsd_decimal) ),
    inference(rw,[status(thm)],[603,259,theory(equality)]) ).

cnf(608,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | $false
    | $false ),
    inference(rw,[status(thm)],[607,260,theory(equality)]) ).

cnf(609,plain,
    iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(cn,[status(thm)],[608,theory(equality)]) ).

cnf(617,negated_conjecture,
    ( $false
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(rw,[status(thm)],[242,609,theory(equality)]) ).

cnf(618,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[617,theory(equality)]) ).

cnf(1352,plain,
    ( icext(uri_xsd_decimal,esk3_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1)
    | $false ),
    inference(rw,[status(thm)],[317,258,theory(equality)]) ).

cnf(1353,plain,
    ( icext(uri_xsd_decimal,esk3_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[1352,theory(equality)]) ).

cnf(1355,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_integer) ),
    inference(spm,[status(thm)],[210,1353,theory(equality)]) ).

cnf(1360,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | $false
    | ~ ic(uri_xsd_integer) ),
    inference(rw,[status(thm)],[1355,260,theory(equality)]) ).

cnf(1361,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | $false
    | $false ),
    inference(rw,[status(thm)],[1360,258,theory(equality)]) ).

cnf(1362,plain,
    iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[1361,theory(equality)]) ).

cnf(1363,plain,
    $false,
    inference(sr,[status(thm)],[1362,618,theory(equality)]) ).

cnf(1364,plain,
    $false,
    1363,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB032+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpWyNctK/sel_SWB032+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB032+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB032+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB032+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
% 
%------------------------------------------------------------------------------