TSTP Solution File: SWB075+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB075+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 00:46:41 EST 2011

% Result   : Theorem 0.35s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   57 (  16 unt;   0 def)
%            Number of atoms       :  196 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  231 (  92   ~;  95   |;  36   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   99 (   6 sgn  64   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
      ( iodp(X1)
    <=> iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_parts_iodp_def) ).

fof(11,axiom,
    ! [X1] : ir(X1),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',simple_ir) ).

fof(19,axiom,
    ! [X1] :
      ( iodp(X1)
     => ip(X1) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_parts_iodp_cond_set) ).

fof(21,axiom,
    ! [X1,X5] :
      ( iext(uri_owl_topDataProperty,X1,X5)
    <=> ( ir(X1)
        & lv(X5) ) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_prop_topdataproperty_ext) ).

fof(22,axiom,
    ! [X1] :
      ( iodp(X1)
     => ! [X5,X7] :
          ( iext(X1,X5,X7)
         => ( ir(X5)
            & lv(X7) ) ) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_parts_iodp_cond_inst) ).

fof(29,axiom,
    iodp(uri_owl_topDataProperty),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_prop_topdataproperty_type) ).

fof(33,axiom,
    ! [X8,X2,X9] :
      ( iext(X2,X8,X9)
     => ip(X2) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',simple_iext_property) ).

fof(42,axiom,
    ! [X10,X11] :
      ( iext(uri_rdfs_subPropertyOf,X10,X11)
    <=> ( ip(X10)
        & ip(X11)
        & ! [X1,X5] :
            ( iext(X10,X1,X5)
           => iext(X11,X1,X5) ) ) ),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',owl_rdfsext_subpropertyof) ).

fof(44,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',conclusion_rdfbased_sem_prop_topdataproperty_term) ).

fof(45,axiom,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    file('/tmp/tmpCkOGta/sel_SWB075+1.p_1',premise_rdfbased_sem_prop_topdataproperty_term) ).

fof(46,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(assume_negation,[status(cth)],[44]) ).

fof(47,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).

fof(48,plain,
    ! [X1] :
      ( ( ~ iodp(X1)
        | iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) )
      & ( ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty)
        | iodp(X1) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(49,plain,
    ! [X2] :
      ( ( ~ iodp(X2)
        | iext(uri_rdf_type,X2,uri_owl_DatatypeProperty) )
      & ( ~ iext(uri_rdf_type,X2,uri_owl_DatatypeProperty)
        | iodp(X2) ) ),
    inference(variable_rename,[status(thm)],[48]) ).

cnf(50,plain,
    ( iodp(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(86,plain,
    ! [X2] : ir(X2),
    inference(variable_rename,[status(thm)],[11]) ).

cnf(87,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[86]) ).

fof(106,plain,
    ! [X1] :
      ( ~ iodp(X1)
      | ip(X1) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(107,plain,
    ! [X2] :
      ( ~ iodp(X2)
      | ip(X2) ),
    inference(variable_rename,[status(thm)],[106]) ).

cnf(108,plain,
    ( ip(X1)
    | ~ iodp(X1) ),
    inference(split_conjunct,[status(thm)],[107]) ).

fof(110,plain,
    ! [X1,X5] :
      ( ( ~ iext(uri_owl_topDataProperty,X1,X5)
        | ( ir(X1)
          & lv(X5) ) )
      & ( ~ ir(X1)
        | ~ lv(X5)
        | iext(uri_owl_topDataProperty,X1,X5) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(111,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_owl_topDataProperty,X6,X7)
        | ( ir(X6)
          & lv(X7) ) )
      & ( ~ ir(X6)
        | ~ lv(X7)
        | iext(uri_owl_topDataProperty,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[110]) ).

fof(112,plain,
    ! [X6,X7] :
      ( ( ir(X6)
        | ~ iext(uri_owl_topDataProperty,X6,X7) )
      & ( lv(X7)
        | ~ iext(uri_owl_topDataProperty,X6,X7) )
      & ( ~ ir(X6)
        | ~ lv(X7)
        | iext(uri_owl_topDataProperty,X6,X7) ) ),
    inference(distribute,[status(thm)],[111]) ).

cnf(113,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | ~ lv(X2)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[112]) ).

fof(116,plain,
    ! [X1] :
      ( ~ iodp(X1)
      | ! [X5,X7] :
          ( ~ iext(X1,X5,X7)
          | ( ir(X5)
            & lv(X7) ) ) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(117,plain,
    ! [X8] :
      ( ~ iodp(X8)
      | ! [X9,X10] :
          ( ~ iext(X8,X9,X10)
          | ( ir(X9)
            & lv(X10) ) ) ),
    inference(variable_rename,[status(thm)],[116]) ).

fof(118,plain,
    ! [X8,X9,X10] :
      ( ~ iext(X8,X9,X10)
      | ( ir(X9)
        & lv(X10) )
      | ~ iodp(X8) ),
    inference(shift_quantors,[status(thm)],[117]) ).

fof(119,plain,
    ! [X8,X9,X10] :
      ( ( ir(X9)
        | ~ iext(X8,X9,X10)
        | ~ iodp(X8) )
      & ( lv(X10)
        | ~ iext(X8,X9,X10)
        | ~ iodp(X8) ) ),
    inference(distribute,[status(thm)],[118]) ).

cnf(120,plain,
    ( lv(X3)
    | ~ iodp(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[119]) ).

cnf(138,plain,
    iodp(uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(153,plain,
    ! [X8,X2,X9] :
      ( ~ iext(X2,X8,X9)
      | ip(X2) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(154,plain,
    ! [X10,X11,X12] :
      ( ~ iext(X11,X10,X12)
      | ip(X11) ),
    inference(variable_rename,[status(thm)],[153]) ).

cnf(155,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[154]) ).

fof(178,plain,
    ! [X10,X11] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X10,X11)
        | ( ip(X10)
          & ip(X11)
          & ! [X1,X5] :
              ( ~ iext(X10,X1,X5)
              | iext(X11,X1,X5) ) ) )
      & ( ~ ip(X10)
        | ~ ip(X11)
        | ? [X1,X5] :
            ( iext(X10,X1,X5)
            & ~ iext(X11,X1,X5) )
        | iext(uri_rdfs_subPropertyOf,X10,X11) ) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(179,plain,
    ! [X12,X13] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X12,X13)
        | ( ip(X12)
          & ip(X13)
          & ! [X14,X15] :
              ( ~ iext(X12,X14,X15)
              | iext(X13,X14,X15) ) ) )
      & ( ~ ip(X12)
        | ~ ip(X13)
        | ? [X16,X17] :
            ( iext(X12,X16,X17)
            & ~ iext(X13,X16,X17) )
        | iext(uri_rdfs_subPropertyOf,X12,X13) ) ),
    inference(variable_rename,[status(thm)],[178]) ).

fof(180,plain,
    ! [X12,X13] :
      ( ( ~ iext(uri_rdfs_subPropertyOf,X12,X13)
        | ( ip(X12)
          & ip(X13)
          & ! [X14,X15] :
              ( ~ iext(X12,X14,X15)
              | iext(X13,X14,X15) ) ) )
      & ( ~ ip(X12)
        | ~ ip(X13)
        | ( iext(X12,esk6_2(X12,X13),esk7_2(X12,X13))
          & ~ iext(X13,esk6_2(X12,X13),esk7_2(X12,X13)) )
        | iext(uri_rdfs_subPropertyOf,X12,X13) ) ),
    inference(skolemize,[status(esa)],[179]) ).

fof(181,plain,
    ! [X12,X13,X14,X15] :
      ( ( ( ( ~ iext(X12,X14,X15)
            | iext(X13,X14,X15) )
          & ip(X12)
          & ip(X13) )
        | ~ iext(uri_rdfs_subPropertyOf,X12,X13) )
      & ( ~ ip(X12)
        | ~ ip(X13)
        | ( iext(X12,esk6_2(X12,X13),esk7_2(X12,X13))
          & ~ iext(X13,esk6_2(X12,X13),esk7_2(X12,X13)) )
        | iext(uri_rdfs_subPropertyOf,X12,X13) ) ),
    inference(shift_quantors,[status(thm)],[180]) ).

fof(182,plain,
    ! [X12,X13,X14,X15] :
      ( ( ~ iext(X12,X14,X15)
        | iext(X13,X14,X15)
        | ~ iext(uri_rdfs_subPropertyOf,X12,X13) )
      & ( ip(X12)
        | ~ iext(uri_rdfs_subPropertyOf,X12,X13) )
      & ( ip(X13)
        | ~ iext(uri_rdfs_subPropertyOf,X12,X13) )
      & ( iext(X12,esk6_2(X12,X13),esk7_2(X12,X13))
        | ~ ip(X12)
        | ~ ip(X13)
        | iext(uri_rdfs_subPropertyOf,X12,X13) )
      & ( ~ iext(X13,esk6_2(X12,X13),esk7_2(X12,X13))
        | ~ ip(X12)
        | ~ ip(X13)
        | iext(uri_rdfs_subPropertyOf,X12,X13) ) ),
    inference(distribute,[status(thm)],[181]) ).

cnf(183,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X2)
    | ~ ip(X1)
    | ~ iext(X2,esk6_2(X1,X2),esk7_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(184,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | iext(X1,esk6_2(X1,X2),esk7_2(X1,X2))
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[182]) ).

cnf(192,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(193,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[45]) ).

cnf(210,plain,
    ( iext(uri_owl_topDataProperty,X1,X2)
    | $false
    | ~ lv(X2) ),
    inference(rw,[status(thm)],[113,87,theory(equality)]),
    [unfolding] ).

cnf(211,plain,
    ip(uri_owl_topDataProperty),
    inference(spm,[status(thm)],[108,138,theory(equality)]) ).

cnf(304,plain,
    ( lv(esk7_2(X1,X2))
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ iodp(X1)
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[120,184,theory(equality)]) ).

cnf(309,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X1)
    | ~ iext(X2,esk6_2(X1,X2),esk7_2(X1,X2)) ),
    inference(csr,[status(thm)],[183,155]) ).

cnf(690,plain,
    ( lv(esk7_2(X1,X2))
    | iext(uri_rdfs_subPropertyOf,X1,X2)
    | ~ ip(X2)
    | ~ iodp(X1) ),
    inference(csr,[status(thm)],[304,108]) ).

cnf(691,plain,
    ( iext(uri_owl_topDataProperty,X1,esk7_2(X2,X3))
    | iext(uri_rdfs_subPropertyOf,X2,X3)
    | ~ ip(X3)
    | ~ iodp(X2) ),
    inference(spm,[status(thm)],[210,690,theory(equality)]) ).

cnf(695,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ ip(X1)
    | ~ ip(uri_owl_topDataProperty)
    | ~ iodp(X1) ),
    inference(spm,[status(thm)],[309,691,theory(equality)]) ).

cnf(699,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ ip(X1)
    | $false
    | ~ iodp(X1) ),
    inference(rw,[status(thm)],[695,211,theory(equality)]) ).

cnf(700,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ ip(X1)
    | ~ iodp(X1) ),
    inference(cn,[status(thm)],[699,theory(equality)]) ).

cnf(701,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iodp(X1) ),
    inference(csr,[status(thm)],[700,108]) ).

cnf(704,plain,
    ( iext(uri_rdfs_subPropertyOf,X1,uri_owl_topDataProperty)
    | ~ iext(uri_rdf_type,X1,uri_owl_DatatypeProperty) ),
    inference(spm,[status(thm)],[701,50,theory(equality)]) ).

cnf(706,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
    inference(spm,[status(thm)],[192,704,theory(equality)]) ).

cnf(715,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[706,193,theory(equality)]) ).

cnf(716,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[715,theory(equality)]) ).

cnf(717,negated_conjecture,
    $false,
    716,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB075+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpCkOGta/sel_SWB075+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB075+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB075+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB075+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
% 
%------------------------------------------------------------------------------