TSTP Solution File: SWB030+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB030+2 : 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 : Wed Feb 16 00:00:50 EST 2011

% Result   : Unsatisfiable 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   44 (   9 unt;   0 def)
%            Number of atoms       :  149 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  169 (  64   ~;  63   |;  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   :   77 (   2 sgn  44   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/tmp/tmpQ7F7dz/sel_SWB030+2.p_1',rdfs_cext_def) ).

fof(2,axiom,
    ! [X3,X2] :
      ( iext(uri_owl_complementOf,X3,X2)
     => ( ic(X3)
        & ic(X2)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X2,X1) ) ) ),
    file('/tmp/tmpQ7F7dz/sel_SWB030+2.p_1',owl_bool_complementof_class) ).

fof(3,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_owl_hasSelf,X3,X5)
        & iext(uri_owl_onProperty,X3,X4) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> iext(X4,X1,X1) ) ),
    file('/tmp/tmpQ7F7dz/sel_SWB030+2.p_1',owl_restrict_hasself) ).

fof(4,axiom,
    ? [X6] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X6)
      & iext(uri_rdf_type,X6,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X6,uri_rdf_type)
      & iext(uri_owl_hasSelf,X6,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/tmp/tmpQ7F7dz/sel_SWB030+2.p_1',testcase_premise_fullish_030_Bad_Class) ).

fof(5,plain,
    ! [X3,X2] :
      ( iext(uri_owl_complementOf,X3,X2)
     => ( ic(X3)
        & ic(X2)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(6,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_rdf_type,X1,X2)
        | icext(X2,X1) )
      & ( ~ icext(X2,X1)
        | iext(uri_rdf_type,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(7,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_rdf_type,X3,X4)
        | icext(X4,X3) )
      & ( ~ icext(X4,X3)
        | iext(uri_rdf_type,X3,X4) ) ),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(8,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

fof(10,plain,
    ! [X3,X2] :
      ( ~ iext(uri_owl_complementOf,X3,X2)
      | ( ic(X3)
        & ic(X2)
        & ! [X1] :
            ( ( ~ icext(X3,X1)
              | ~ icext(X2,X1) )
            & ( icext(X2,X1)
              | icext(X3,X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(11,plain,
    ! [X4,X5] :
      ( ~ iext(uri_owl_complementOf,X4,X5)
      | ( ic(X4)
        & ic(X5)
        & ! [X6] :
            ( ( ~ icext(X4,X6)
              | ~ icext(X5,X6) )
            & ( icext(X5,X6)
              | icext(X4,X6) ) ) ) ),
    inference(variable_rename,[status(thm)],[10]) ).

fof(12,plain,
    ! [X4,X5,X6] :
      ( ( ( ~ icext(X4,X6)
          | ~ icext(X5,X6) )
        & ( icext(X5,X6)
          | icext(X4,X6) )
        & ic(X4)
        & ic(X5) )
      | ~ iext(uri_owl_complementOf,X4,X5) ),
    inference(shift_quantors,[status(thm)],[11]) ).

fof(13,plain,
    ! [X4,X5,X6] :
      ( ( ~ icext(X4,X6)
        | ~ icext(X5,X6)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( icext(X5,X6)
        | icext(X4,X6)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( ic(X4)
        | ~ iext(uri_owl_complementOf,X4,X5) )
      & ( ic(X5)
        | ~ iext(uri_owl_complementOf,X4,X5) ) ),
    inference(distribute,[status(thm)],[12]) ).

cnf(16,plain,
    ( icext(X1,X3)
    | icext(X2,X3)
    | ~ iext(uri_owl_complementOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(17,plain,
    ( ~ iext(uri_owl_complementOf,X1,X2)
    | ~ icext(X2,X3)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[13]) ).

fof(18,plain,
    ! [X3,X4,X5] :
      ( ~ iext(uri_owl_hasSelf,X3,X5)
      | ~ iext(uri_owl_onProperty,X3,X4)
      | ! [X1] :
          ( ( ~ icext(X3,X1)
            | iext(X4,X1,X1) )
          & ( ~ iext(X4,X1,X1)
            | icext(X3,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(19,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_hasSelf,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | iext(X7,X9,X9) )
          & ( ~ iext(X7,X9,X9)
            | icext(X6,X9) ) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(20,plain,
    ! [X6,X7,X8,X9] :
      ( ( ( ~ icext(X6,X9)
          | iext(X7,X9,X9) )
        & ( ~ iext(X7,X9,X9)
          | icext(X6,X9) ) )
      | ~ iext(uri_owl_hasSelf,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7) ),
    inference(shift_quantors,[status(thm)],[19]) ).

fof(21,plain,
    ! [X6,X7,X8,X9] :
      ( ( ~ icext(X6,X9)
        | iext(X7,X9,X9)
        | ~ iext(uri_owl_hasSelf,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( ~ iext(X7,X9,X9)
        | icext(X6,X9)
        | ~ iext(uri_owl_hasSelf,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) ) ),
    inference(distribute,[status(thm)],[20]) ).

cnf(22,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)],[21]) ).

cnf(23,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)],[21]) ).

fof(24,plain,
    ? [X7] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X7)
      & iext(uri_rdf_type,X7,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X7,uri_rdf_type)
      & iext(uri_owl_hasSelf,X7,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(25,plain,
    ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_owl_complementOf,uri_ex_c,esk1_0)
    & iext(uri_rdf_type,esk1_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk1_0,uri_rdf_type)
    & iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(skolemize,[status(esa)],[24]) ).

cnf(26,plain,
    iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(27,plain,
    iext(uri_owl_onProperty,esk1_0,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(29,plain,
    iext(uri_owl_complementOf,uri_ex_c,esk1_0),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(34,plain,
    ( icext(uri_ex_c,X1)
    | icext(esk1_0,X1) ),
    inference(spm,[status(thm)],[16,29,theory(equality)]) ).

cnf(35,plain,
    ( ~ icext(esk1_0,X1)
    | ~ icext(uri_ex_c,X1) ),
    inference(spm,[status(thm)],[17,29,theory(equality)]) ).

cnf(36,plain,
    ( iext(X1,X2,X2)
    | ~ icext(esk1_0,X2)
    | ~ iext(uri_owl_onProperty,esk1_0,X1) ),
    inference(spm,[status(thm)],[23,26,theory(equality)]) ).

cnf(37,plain,
    ( icext(esk1_0,X1)
    | ~ iext(uri_owl_onProperty,esk1_0,X2)
    | ~ iext(X2,X1,X1) ),
    inference(spm,[status(thm)],[22,26,theory(equality)]) ).

cnf(38,plain,
    ( iext(uri_rdf_type,X1,uri_ex_c)
    | icext(esk1_0,X1) ),
    inference(spm,[status(thm)],[8,34,theory(equality)]) ).

cnf(39,plain,
    ( ~ icext(esk1_0,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[35,9,theory(equality)]) ).

cnf(41,plain,
    ( iext(uri_rdf_type,X1,X1)
    | ~ icext(esk1_0,X1) ),
    inference(spm,[status(thm)],[36,27,theory(equality)]) ).

cnf(42,plain,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_rdf_type,X1,esk1_0) ),
    inference(spm,[status(thm)],[39,9,theory(equality)]) ).

cnf(43,plain,
    ( iext(uri_rdf_type,X1,esk1_0)
    | iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[8,38,theory(equality)]) ).

cnf(47,plain,
    ( iext(uri_rdf_type,X1,X1)
    | iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[41,38,theory(equality)]) ).

cnf(48,plain,
    iext(uri_rdf_type,uri_ex_c,uri_ex_c),
    inference(ef,[status(thm)],[47,theory(equality)]) ).

cnf(51,plain,
    ~ iext(uri_rdf_type,uri_ex_c,esk1_0),
    inference(spm,[status(thm)],[42,48,theory(equality)]) ).

cnf(53,plain,
    ( icext(esk1_0,X1)
    | ~ iext(uri_rdf_type,X1,X1) ),
    inference(spm,[status(thm)],[37,27,theory(equality)]) ).

cnf(55,plain,
    ( icext(esk1_0,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,esk1_0) ),
    inference(spm,[status(thm)],[53,43,theory(equality)]) ).

cnf(57,plain,
    icext(esk1_0,uri_ex_c),
    inference(sr,[status(thm)],[55,51,theory(equality)]) ).

cnf(58,plain,
    iext(uri_rdf_type,uri_ex_c,esk1_0),
    inference(spm,[status(thm)],[8,57,theory(equality)]) ).

cnf(61,plain,
    $false,
    inference(sr,[status(thm)],[58,51,theory(equality)]) ).

cnf(62,plain,
    $false,
    61,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB030+2.p
% --creating new selector for []
% -running prover on /tmp/tmpQ7F7dz/sel_SWB030+2.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem SWB030+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB030+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB030+2.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
% 
%------------------------------------------------------------------------------