TSTP Solution File: SWB032+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB032+2 : 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 00:02:28 EST 2011

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   74 (  14 unt;   0 def)
%            Number of atoms       :  254 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  300 ( 120   ~; 124   |;  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   :   81 (   0 sgn  54   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    idc(uri_xsd_string),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_string_type) ).

fof(2,axiom,
    ! [X1] :
      ( icext(uri_xsd_decimal,X1)
     => icext(uri_owl_rational,X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(3,axiom,
    ! [X1] :
      ( icext(uri_xsd_integer,X1)
     => icext(uri_xsd_decimal,X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(4,axiom,
    ! [X1] :
      ~ ( icext(uri_rdf_PlainLiteral,X1)
        & icext(uri_owl_real,X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(5,conjecture,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(6,axiom,
    idc(uri_xsd_decimal),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_decimal_type) ).

fof(7,axiom,
    ! [X2,X3] :
      ( iext(uri_rdfs_subClassOf,X2,X3)
    <=> ( ic(X2)
        & ic(X3)
        & ! [X1] :
            ( icext(X2,X1)
           => icext(X3,X1) ) ) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_rdfsext_subclassof) ).

fof(8,axiom,
    ! [X2,X3] :
      ( iext(uri_owl_disjointWith,X2,X3)
    <=> ( ic(X2)
        & ic(X3)
        & ! [X1] :
            ~ ( icext(X2,X1)
              & icext(X3,X1) ) ) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_eqdis_disjointwith) ).

fof(9,axiom,
    idc(uri_xsd_integer),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_integer_type) ).

fof(10,axiom,
    ! [X1] :
      ( idc(X1)
     => ic(X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_parts_idc_cond_set) ).

fof(11,axiom,
    ! [X1] :
      ( icext(uri_xsd_string,X1)
     => icext(uri_rdf_PlainLiteral,X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(12,axiom,
    ! [X1] :
      ( icext(uri_owl_rational,X1)
     => icext(uri_owl_real,X1) ),
    file('/tmp/tmpPxec5i/sel_SWB032+2.p_1',owl_dat_dtype_relation_subtype_rational_real) ).

fof(13,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)],[5]) ).

cnf(14,plain,
    idc(uri_xsd_string),
    inference(split_conjunct,[status(thm)],[1]) ).

fof(15,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_decimal,X1)
      | icext(uri_owl_rational,X1) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(16,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_decimal,X2)
      | icext(uri_owl_rational,X2) ),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(17,plain,
    ( icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(18,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_integer,X1)
      | icext(uri_xsd_decimal,X1) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(19,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_integer,X2)
      | icext(uri_xsd_decimal,X2) ),
    inference(variable_rename,[status(thm)],[18]) ).

cnf(20,plain,
    ( icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_integer,X1) ),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(21,plain,
    ! [X1] :
      ( ~ icext(uri_rdf_PlainLiteral,X1)
      | ~ icext(uri_owl_real,X1) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(22,plain,
    ! [X2] :
      ( ~ icext(uri_rdf_PlainLiteral,X2)
      | ~ icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[21]) ).

cnf(23,plain,
    ( ~ icext(uri_owl_real,X1)
    | ~ icext(uri_rdf_PlainLiteral,X1) ),
    inference(split_conjunct,[status(thm)],[22]) ).

fof(24,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)],[13]) ).

cnf(25,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)],[24]) ).

cnf(26,plain,
    idc(uri_xsd_decimal),
    inference(split_conjunct,[status(thm)],[6]) ).

fof(27,plain,
    ! [X2,X3] :
      ( ( ~ iext(uri_rdfs_subClassOf,X2,X3)
        | ( ic(X2)
          & ic(X3)
          & ! [X1] :
              ( ~ icext(X2,X1)
              | icext(X3,X1) ) ) )
      & ( ~ ic(X2)
        | ~ ic(X3)
        | ? [X1] :
            ( icext(X2,X1)
            & ~ icext(X3,X1) )
        | iext(uri_rdfs_subClassOf,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(28,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdfs_subClassOf,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X6] :
              ( ~ icext(X4,X6)
              | icext(X5,X6) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ? [X7] :
            ( icext(X4,X7)
            & ~ icext(X5,X7) )
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(variable_rename,[status(thm)],[27]) ).

fof(29,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdfs_subClassOf,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X6] :
              ( ~ icext(X4,X6)
              | icext(X5,X6) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ( icext(X4,esk1_2(X4,X5))
          & ~ icext(X5,esk1_2(X4,X5)) )
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(skolemize,[status(esa)],[28]) ).

fof(30,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ~ icext(X4,X6)
            | icext(X5,X6) )
          & ic(X4)
          & ic(X5) )
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ( icext(X4,esk1_2(X4,X5))
          & ~ icext(X5,esk1_2(X4,X5)) )
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[29]) ).

fof(31,plain,
    ! [X4,X5,X6] :
      ( ( ~ icext(X4,X6)
        | icext(X5,X6)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ic(X4)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_rdfs_subClassOf,X4,X5) )
      & ( icext(X4,esk1_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_rdfs_subClassOf,X4,X5) )
      & ( ~ icext(X5,esk1_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(distribute,[status(thm)],[30]) ).

cnf(32,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[31]) ).

cnf(33,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk1_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(37,plain,
    ! [X2,X3] :
      ( ( ~ iext(uri_owl_disjointWith,X2,X3)
        | ( ic(X2)
          & ic(X3)
          & ! [X1] :
              ( ~ icext(X2,X1)
              | ~ icext(X3,X1) ) ) )
      & ( ~ ic(X2)
        | ~ ic(X3)
        | ? [X1] :
            ( icext(X2,X1)
            & icext(X3,X1) )
        | iext(uri_owl_disjointWith,X2,X3) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(38,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_owl_disjointWith,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X6] :
              ( ~ icext(X4,X6)
              | ~ icext(X5,X6) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ? [X7] :
            ( icext(X4,X7)
            & icext(X5,X7) )
        | iext(uri_owl_disjointWith,X4,X5) ) ),
    inference(variable_rename,[status(thm)],[37]) ).

fof(39,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_owl_disjointWith,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X6] :
              ( ~ icext(X4,X6)
              | ~ icext(X5,X6) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ( icext(X4,esk2_2(X4,X5))
          & icext(X5,esk2_2(X4,X5)) )
        | iext(uri_owl_disjointWith,X4,X5) ) ),
    inference(skolemize,[status(esa)],[38]) ).

fof(40,plain,
    ! [X4,X5,X6] :
      ( ( ( ( ~ icext(X4,X6)
            | ~ icext(X5,X6) )
          & ic(X4)
          & ic(X5) )
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ( icext(X4,esk2_2(X4,X5))
          & icext(X5,esk2_2(X4,X5)) )
        | iext(uri_owl_disjointWith,X4,X5) ) ),
    inference(shift_quantors,[status(thm)],[39]) ).

fof(41,plain,
    ! [X4,X5,X6] :
      ( ( ~ icext(X4,X6)
        | ~ icext(X5,X6)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( ic(X4)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_owl_disjointWith,X4,X5) )
      & ( icext(X4,esk2_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_owl_disjointWith,X4,X5) )
      & ( icext(X5,esk2_2(X4,X5))
        | ~ ic(X4)
        | ~ ic(X5)
        | iext(uri_owl_disjointWith,X4,X5) ) ),
    inference(distribute,[status(thm)],[40]) ).

cnf(42,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X2,esk2_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(43,plain,
    ( iext(uri_owl_disjointWith,X1,X2)
    | icext(X1,esk2_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(47,plain,
    idc(uri_xsd_integer),
    inference(split_conjunct,[status(thm)],[9]) ).

fof(48,plain,
    ! [X1] :
      ( ~ idc(X1)
      | ic(X1) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(49,plain,
    ! [X2] :
      ( ~ idc(X2)
      | ic(X2) ),
    inference(variable_rename,[status(thm)],[48]) ).

cnf(50,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(51,plain,
    ! [X1] :
      ( ~ icext(uri_xsd_string,X1)
      | icext(uri_rdf_PlainLiteral,X1) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(52,plain,
    ! [X2] :
      ( ~ icext(uri_xsd_string,X2)
      | icext(uri_rdf_PlainLiteral,X2) ),
    inference(variable_rename,[status(thm)],[51]) ).

cnf(53,plain,
    ( icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(split_conjunct,[status(thm)],[52]) ).

fof(54,plain,
    ! [X1] :
      ( ~ icext(uri_owl_rational,X1)
      | icext(uri_owl_real,X1) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(55,plain,
    ! [X2] :
      ( ~ icext(uri_owl_rational,X2)
      | icext(uri_owl_real,X2) ),
    inference(variable_rename,[status(thm)],[54]) ).

cnf(56,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(split_conjunct,[status(thm)],[55]) ).

cnf(57,plain,
    ic(uri_xsd_string),
    inference(spm,[status(thm)],[50,14,theory(equality)]) ).

cnf(58,plain,
    ic(uri_xsd_decimal),
    inference(spm,[status(thm)],[50,26,theory(equality)]) ).

cnf(59,plain,
    ic(uri_xsd_integer),
    inference(spm,[status(thm)],[50,47,theory(equality)]) ).

cnf(62,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(spm,[status(thm)],[23,56,theory(equality)]) ).

cnf(65,plain,
    ( icext(uri_xsd_decimal,esk1_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1)
    | ~ ic(uri_xsd_integer) ),
    inference(spm,[status(thm)],[20,33,theory(equality)]) ).

cnf(71,plain,
    ( ~ icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(spm,[status(thm)],[62,53,theory(equality)]) ).

cnf(75,plain,
    ( ~ icext(uri_xsd_string,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[71,17,theory(equality)]) ).

cnf(84,plain,
    ( iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ icext(uri_xsd_decimal,esk2_2(X1,uri_xsd_string))
    | ~ ic(uri_xsd_string)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[75,42,theory(equality)]) ).

cnf(87,plain,
    ( iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ icext(uri_xsd_decimal,esk2_2(X1,uri_xsd_string))
    | $false
    | ~ ic(X1) ),
    inference(rw,[status(thm)],[84,57,theory(equality)]) ).

cnf(88,plain,
    ( iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ icext(uri_xsd_decimal,esk2_2(X1,uri_xsd_string))
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[87,theory(equality)]) ).

cnf(93,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_string) ),
    inference(spm,[status(thm)],[88,43,theory(equality)]) ).

cnf(94,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | $false
    | ~ ic(uri_xsd_string) ),
    inference(rw,[status(thm)],[93,58,theory(equality)]) ).

cnf(95,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | $false
    | $false ),
    inference(rw,[status(thm)],[94,57,theory(equality)]) ).

cnf(96,plain,
    iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(cn,[status(thm)],[95,theory(equality)]) ).

cnf(100,negated_conjecture,
    ( $false
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(rw,[status(thm)],[25,96,theory(equality)]) ).

cnf(101,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[100,theory(equality)]) ).

cnf(166,plain,
    ( icext(uri_xsd_decimal,esk1_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1)
    | $false ),
    inference(rw,[status(thm)],[65,59,theory(equality)]) ).

cnf(167,plain,
    ( icext(uri_xsd_decimal,esk1_2(uri_xsd_integer,X1))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,X1)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[166,theory(equality)]) ).

cnf(168,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | ~ ic(uri_xsd_decimal)
    | ~ ic(uri_xsd_integer) ),
    inference(spm,[status(thm)],[32,167,theory(equality)]) ).

cnf(169,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | $false
    | ~ ic(uri_xsd_integer) ),
    inference(rw,[status(thm)],[168,58,theory(equality)]) ).

cnf(170,plain,
    ( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
    | $false
    | $false ),
    inference(rw,[status(thm)],[169,59,theory(equality)]) ).

cnf(171,plain,
    iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[170,theory(equality)]) ).

cnf(172,plain,
    $false,
    inference(sr,[status(thm)],[171,101,theory(equality)]) ).

cnf(173,plain,
    $false,
    172,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB032+2.p
% --creating new selector for []
% -running prover on /tmp/tmpPxec5i/sel_SWB032+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB032+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB032+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB032+2.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
% 
%------------------------------------------------------------------------------