TSTP Solution File: SWB008+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB008+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 : Tue Feb 15 23:41:01 EST 2011

% Result   : Theorem 0.33s
% Output   : CNFRefutation 0.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :  113 (  22 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  132 (  50   ~;  49   |;  29   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   59 (   0 sgn  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(19,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_sameAs,X1,X2)
    <=> X1 = X2 ),
    file('/tmp/tmpdKf1GJ/sel_SWB008+1.p_1',owl_eqdis_sameas) ).

fof(20,axiom,
    ! [X1,X7] :
      ( iext(uri_rdf_type,X1,X7)
    <=> icext(X7,X1) ),
    file('/tmp/tmpdKf1GJ/sel_SWB008+1.p_1',rdfs_cext_def) ).

fof(21,axiom,
    ! [X5] :
      ( icext(uri_owl_InverseFunctionalProperty,X5)
    <=> ( ip(X5)
        & ! [X8,X9,X2] :
            ( ( iext(X5,X8,X2)
              & iext(X5,X9,X2) )
           => X8 = X9 ) ) ),
    file('/tmp/tmpdKf1GJ/sel_SWB008+1.p_1',owl_char_inversefunctional) ).

fof(22,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/tmp/tmpdKf1GJ/sel_SWB008+1.p_1',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(23,axiom,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
    file('/tmp/tmpdKf1GJ/sel_SWB008+1.p_1',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(24,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(assume_negation,[status(cth)],[22]) ).

fof(25,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).

fof(84,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_owl_sameAs,X1,X2)
        | X1 = X2 )
      & ( X1 != X2
        | iext(uri_owl_sameAs,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(85,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_owl_sameAs,X3,X4)
        | X3 = X4 )
      & ( X3 != X4
        | iext(uri_owl_sameAs,X3,X4) ) ),
    inference(variable_rename,[status(thm)],[84]) ).

cnf(86,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[85]) ).

fof(88,plain,
    ! [X1,X7] :
      ( ( ~ iext(uri_rdf_type,X1,X7)
        | icext(X7,X1) )
      & ( ~ icext(X7,X1)
        | iext(uri_rdf_type,X1,X7) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(89,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdf_type,X8,X9)
        | icext(X9,X8) )
      & ( ~ icext(X9,X8)
        | iext(uri_rdf_type,X8,X9) ) ),
    inference(variable_rename,[status(thm)],[88]) ).

cnf(91,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[89]) ).

fof(92,plain,
    ! [X5] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X5)
        | ( ip(X5)
          & ! [X8,X9,X2] :
              ( ~ iext(X5,X8,X2)
              | ~ iext(X5,X9,X2)
              | X8 = X9 ) ) )
      & ( ~ ip(X5)
        | ? [X8,X9,X2] :
            ( iext(X5,X8,X2)
            & iext(X5,X9,X2)
            & X8 != X9 )
        | icext(uri_owl_InverseFunctionalProperty,X5) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(93,plain,
    ! [X10] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X10)
        | ( ip(X10)
          & ! [X11,X12,X13] :
              ( ~ iext(X10,X11,X13)
              | ~ iext(X10,X12,X13)
              | X11 = X12 ) ) )
      & ( ~ ip(X10)
        | ? [X14,X15,X16] :
            ( iext(X10,X14,X16)
            & iext(X10,X15,X16)
            & X14 != X15 )
        | icext(uri_owl_InverseFunctionalProperty,X10) ) ),
    inference(variable_rename,[status(thm)],[92]) ).

fof(94,plain,
    ! [X10] :
      ( ( ~ icext(uri_owl_InverseFunctionalProperty,X10)
        | ( ip(X10)
          & ! [X11,X12,X13] :
              ( ~ iext(X10,X11,X13)
              | ~ iext(X10,X12,X13)
              | X11 = X12 ) ) )
      & ( ~ ip(X10)
        | ( iext(X10,esk2_1(X10),esk4_1(X10))
          & iext(X10,esk3_1(X10),esk4_1(X10))
          & esk2_1(X10) != esk3_1(X10) )
        | icext(uri_owl_InverseFunctionalProperty,X10) ) ),
    inference(skolemize,[status(esa)],[93]) ).

fof(95,plain,
    ! [X10,X11,X12,X13] :
      ( ( ( ( ~ iext(X10,X11,X13)
            | ~ iext(X10,X12,X13)
            | X11 = X12 )
          & ip(X10) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X10) )
      & ( ~ ip(X10)
        | ( iext(X10,esk2_1(X10),esk4_1(X10))
          & iext(X10,esk3_1(X10),esk4_1(X10))
          & esk2_1(X10) != esk3_1(X10) )
        | icext(uri_owl_InverseFunctionalProperty,X10) ) ),
    inference(shift_quantors,[status(thm)],[94]) ).

fof(96,plain,
    ! [X10,X11,X12,X13] :
      ( ( ~ iext(X10,X11,X13)
        | ~ iext(X10,X12,X13)
        | X11 = X12
        | ~ icext(uri_owl_InverseFunctionalProperty,X10) )
      & ( ip(X10)
        | ~ icext(uri_owl_InverseFunctionalProperty,X10) )
      & ( iext(X10,esk2_1(X10),esk4_1(X10))
        | ~ ip(X10)
        | icext(uri_owl_InverseFunctionalProperty,X10) )
      & ( iext(X10,esk3_1(X10),esk4_1(X10))
        | ~ ip(X10)
        | icext(uri_owl_InverseFunctionalProperty,X10) )
      & ( esk2_1(X10) != esk3_1(X10)
        | ~ ip(X10)
        | icext(uri_owl_InverseFunctionalProperty,X10) ) ),
    inference(distribute,[status(thm)],[95]) ).

cnf(101,plain,
    ( X2 = X3
    | ~ icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ iext(X1,X3,X4)
    | ~ iext(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[96]) ).

cnf(102,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(103,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(104,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(105,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(118,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[86,theory(equality)]) ).

cnf(134,plain,
    ( X1 = X2
    | ~ iext(X3,X2,X4)
    | ~ iext(X3,X1,X4)
    | ~ iext(uri_rdf_type,X3,uri_owl_InverseFunctionalProperty) ),
    inference(spm,[status(thm)],[101,91,theory(equality)]) ).

cnf(172,plain,
    ( X1 = X2
    | ~ iext(uri_foaf_mbox_sha1sum,X2,X3)
    | ~ iext(uri_foaf_mbox_sha1sum,X1,X3) ),
    inference(spm,[status(thm)],[134,105,theory(equality)]) ).

cnf(183,plain,
    ( X1 = uri_ex_bob
    | ~ iext(uri_foaf_mbox_sha1sum,X1,literal_plain(dat_str_xyz)) ),
    inference(spm,[status(thm)],[172,104,theory(equality)]) ).

cnf(191,plain,
    uri_ex_robert = uri_ex_bob,
    inference(spm,[status(thm)],[183,103,theory(equality)]) ).

cnf(194,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[102,191,theory(equality)]),118,theory(equality)]) ).

cnf(195,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[194,theory(equality)]) ).

cnf(196,negated_conjecture,
    $false,
    195,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB008+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpdKf1GJ/sel_SWB008+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB008+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB008+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB008+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
% 
%------------------------------------------------------------------------------