TSTP Solution File: SWB009+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB009+2 : 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 : Tue Feb 15 23:41:36 EST 2011

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (   5 unt;   0 def)
%            Number of atoms       :  125 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  157 (  65   ~;  58   |;  31   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   65 (   0 sgn  37   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3] :
      ( ( iext(uri_owl_someValuesFrom,X1,X3)
        & iext(uri_owl_onProperty,X1,X2) )
     => ! [X4] :
          ( icext(X1,X4)
        <=> ? [X5] :
              ( iext(X2,X4,X5)
              & icext(X3,X5) ) ) ),
    file('/tmp/tmpMkhaTD/sel_SWB009+2.p_1',owl_restrict_somevaluesfrom) ).

fof(2,axiom,
    ! [X4,X3] :
      ( iext(uri_rdf_type,X4,X3)
    <=> icext(X3,X4) ),
    file('/tmp/tmpMkhaTD/sel_SWB009+2.p_1',rdfs_cext_def) ).

fof(3,conjecture,
    ? [X6] :
      ( iext(uri_ex_p,uri_ex_s,X6)
      & iext(uri_rdf_type,X6,uri_ex_c) ),
    file('/tmp/tmpMkhaTD/sel_SWB009+2.p_1',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(4,axiom,
    ? [X7] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X7)
      & iext(uri_rdf_type,X7,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X7,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X7,uri_ex_c) ),
    file('/tmp/tmpMkhaTD/sel_SWB009+2.p_1',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(5,negated_conjecture,
    ~ ? [X6] :
        ( iext(uri_ex_p,uri_ex_s,X6)
        & iext(uri_rdf_type,X6,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[3]) ).

fof(6,plain,
    ! [X1,X2,X3] :
      ( ~ iext(uri_owl_someValuesFrom,X1,X3)
      | ~ iext(uri_owl_onProperty,X1,X2)
      | ! [X4] :
          ( ( ~ icext(X1,X4)
            | ? [X5] :
                ( iext(X2,X4,X5)
                & icext(X3,X5) ) )
          & ( ! [X5] :
                ( ~ iext(X2,X4,X5)
                | ~ icext(X3,X5) )
            | icext(X1,X4) ) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(7,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ? [X10] :
                ( iext(X7,X9,X10)
                & icext(X8,X10) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(variable_rename,[status(thm)],[6]) ).

fof(8,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ! [X9] :
          ( ( ~ icext(X6,X9)
            | ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
              & icext(X8,esk1_4(X6,X7,X8,X9)) ) )
          & ( ! [X11] :
                ( ~ iext(X7,X9,X11)
                | ~ icext(X8,X11) )
            | icext(X6,X9) ) ) ),
    inference(skolemize,[status(esa)],[7]) ).

fof(9,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ( ~ iext(X7,X9,X11)
          | ~ icext(X8,X11)
          | icext(X6,X9) )
        & ( ~ icext(X6,X9)
          | ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
            & icext(X8,esk1_4(X6,X7,X8,X9)) ) ) )
      | ~ iext(uri_owl_someValuesFrom,X6,X8)
      | ~ iext(uri_owl_onProperty,X6,X7) ),
    inference(shift_quantors,[status(thm)],[8]) ).

fof(10,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ~ iext(X7,X9,X11)
        | ~ icext(X8,X11)
        | icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) )
      & ( icext(X8,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_someValuesFrom,X6,X8)
        | ~ iext(uri_owl_onProperty,X6,X7) ) ),
    inference(distribute,[status(thm)],[9]) ).

cnf(11,plain,
    ( icext(X3,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(12,plain,
    ( iext(X2,X4,esk1_4(X1,X2,X3,X4))
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4) ),
    inference(split_conjunct,[status(thm)],[10]) ).

fof(14,plain,
    ! [X4,X3] :
      ( ( ~ iext(uri_rdf_type,X4,X3)
        | icext(X3,X4) )
      & ( ~ icext(X3,X4)
        | iext(uri_rdf_type,X4,X3) ) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(15,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)],[14]) ).

cnf(16,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[15]) ).

cnf(17,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[15]) ).

fof(18,negated_conjecture,
    ! [X6] :
      ( ~ iext(uri_ex_p,uri_ex_s,X6)
      | ~ iext(uri_rdf_type,X6,uri_ex_c) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(19,negated_conjecture,
    ! [X7] :
      ( ~ iext(uri_ex_p,uri_ex_s,X7)
      | ~ iext(uri_rdf_type,X7,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[18]) ).

cnf(20,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X1) ),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(21,plain,
    ? [X8] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X8)
      & iext(uri_rdf_type,X8,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X8,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X8,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(22,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_s,esk2_0)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    & iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(skolemize,[status(esa)],[21]) ).

cnf(23,plain,
    iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(24,plain,
    iext(uri_owl_onProperty,esk2_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(26,plain,
    iext(uri_rdf_type,uri_ex_s,esk2_0),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(31,negated_conjecture,
    ( ~ iext(uri_rdf_type,esk1_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
    | ~ icext(X1,uri_ex_s)
    | ~ iext(uri_owl_someValuesFrom,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p) ),
    inference(spm,[status(thm)],[20,12,theory(equality)]) ).

cnf(33,plain,
    ( iext(uri_rdf_type,esk1_4(X1,X2,X3,X4),X3)
    | ~ icext(X1,X4)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(spm,[status(thm)],[16,11,theory(equality)]) ).

cnf(37,negated_conjecture,
    ( ~ icext(X1,uri_ex_s)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[31,33,theory(equality)]) ).

cnf(38,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_rdf_type,uri_ex_s,X1) ),
    inference(spm,[status(thm)],[37,17,theory(equality)]) ).

cnf(41,negated_conjecture,
    ( ~ iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    | ~ iext(uri_rdf_type,uri_ex_s,esk2_0) ),
    inference(spm,[status(thm)],[38,23,theory(equality)]) ).

cnf(42,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_s,esk2_0) ),
    inference(rw,[status(thm)],[41,24,theory(equality)]) ).

cnf(43,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[42,26,theory(equality)]) ).

cnf(44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[43,theory(equality)]) ).

cnf(45,negated_conjecture,
    $false,
    44,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB009+2.p
% --creating new selector for []
% -running prover on /tmp/tmpMkhaTD/sel_SWB009+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB009+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB009+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB009+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
% 
%------------------------------------------------------------------------------