TSTP Solution File: SWB097+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB097+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art07.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 : Fri Mar  4 00:53:42 EST 2011

% Result   : Theorem 0.30s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :  115 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  146 (  63   ~;  61   |;  19   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-4 aty)
%            Number of variables   :   56 (   0 sgn  35   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X3,X4)
        & iext(uri_owl_onClass,X3,X5) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X2] :
              ( iext(X4,X1,X2)
              & icext(X5,X2) ) ) ),
    file('/tmp/tmpKiyB33/sel_SWB097+1.p_1',owl_restrict_minqcr_object_001) ).

fof(32,axiom,
    ! [X1,X5] :
      ( iext(uri_rdf_type,X1,X5)
    <=> icext(X5,X1) ),
    file('/tmp/tmpKiyB33/sel_SWB097+1.p_1',rdfs_cext_def) ).

fof(34,axiom,
    ( iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_x,uri_ex_c)
    & iext(uri_ex_p,uri_ex_w,uri_ex_x) ),
    file('/tmp/tmpKiyB33/sel_SWB097+1.p_1',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(35,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/tmp/tmpKiyB33/sel_SWB097+1.p_1',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(36,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(assume_negation,[status(cth)],[35]) ).

fof(37,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).

fof(63,plain,
    ! [X3,X4,X5] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X3,X4)
      | ~ iext(uri_owl_onClass,X3,X5)
      | ! [X1] :
          ( ( ~ icext(X3,X1)
            | ? [X2] :
                ( iext(X4,X1,X2)
                & icext(X5,X2) ) )
          & ( ! [X2] :
                ( ~ iext(X4,X1,X2)
                | ~ icext(X5,X2) )
            | icext(X3,X1) ) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(64,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8)
      | ! [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)],[63]) ).

fof(65,plain,
    ! [X6,X7,X8] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8)
      | ! [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)],[64]) ).

fof(66,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_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X6,X7)
      | ~ iext(uri_owl_onClass,X6,X8) ),
    inference(shift_quantors,[status(thm)],[65]) ).

fof(67,plain,
    ! [X6,X7,X8,X9,X11] :
      ( ( ~ iext(X7,X9,X11)
        | ~ icext(X8,X11)
        | icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) )
      & ( iext(X7,X9,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) )
      & ( icext(X8,esk1_4(X6,X7,X8,X9))
        | ~ icext(X6,X9)
        | ~ iext(uri_owl_minQualifiedCardinality,X6,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X6,X7)
        | ~ iext(uri_owl_onClass,X6,X8) ) ),
    inference(distribute,[status(thm)],[66]) ).

cnf(70,plain,
    ( icext(X1,X4)
    | ~ iext(uri_owl_onClass,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ icext(X2,X5)
    | ~ iext(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[67]) ).

fof(172,plain,
    ! [X1,X5] :
      ( ( ~ iext(uri_rdf_type,X1,X5)
        | icext(X5,X1) )
      & ( ~ icext(X5,X1)
        | iext(uri_rdf_type,X1,X5) ) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(173,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdf_type,X6,X7)
        | icext(X7,X6) )
      & ( ~ icext(X7,X6)
        | iext(uri_rdf_type,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[172]) ).

cnf(174,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[173]) ).

cnf(175,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[173]) ).

cnf(190,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_x),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(191,plain,
    iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(192,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(193,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(194,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(195,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(226,plain,
    ( icext(uri_ex_z,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X3)
    | ~ iext(X3,X1,X4)
    | ~ icext(X2,X4) ),
    inference(spm,[status(thm)],[70,194,theory(equality)]) ).

cnf(501,plain,
    ( icext(uri_ex_z,X1)
    | ~ iext(uri_owl_onClass,uri_ex_z,X2)
    | ~ iext(uri_ex_p,X1,X3)
    | ~ icext(X2,X3) ),
    inference(spm,[status(thm)],[226,193,theory(equality)]) ).

cnf(510,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onClass,uri_ex_z,X1)
    | ~ icext(X1,uri_ex_x) ),
    inference(spm,[status(thm)],[501,190,theory(equality)]) ).

cnf(519,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onClass,uri_ex_z,X1)
    | ~ iext(uri_rdf_type,uri_ex_x,X1) ),
    inference(spm,[status(thm)],[510,175,theory(equality)]) ).

cnf(520,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c) ),
    inference(spm,[status(thm)],[519,191,theory(equality)]) ).

cnf(529,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | $false ),
    inference(rw,[status(thm)],[520,192,theory(equality)]) ).

cnf(530,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(cn,[status(thm)],[529,theory(equality)]) ).

cnf(531,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(spm,[status(thm)],[174,530,theory(equality)]) ).

cnf(535,plain,
    $false,
    inference(sr,[status(thm)],[531,195,theory(equality)]) ).

cnf(536,plain,
    $false,
    535,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB097+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpKiyB33/sel_SWB097+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB097+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB097+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB097+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
% 
%------------------------------------------------------------------------------