TSTP Solution File: SWB011+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB011+1 : 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 : Tue Feb 15 23:42:37 EST 2011

% Result   : Unsatisfiable 0.30s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  131 (  52   ~;  47   |;  29   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn  27   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ! [X6,X7] :
      ( iext(uri_owl_disjointWith,X6,X7)
    <=> ( ic(X6)
        & ic(X7)
        & ! [X1] :
            ~ ( icext(X6,X1)
              & icext(X7,X1) ) ) ),
    file('/tmp/tmpyjXmRg/sel_SWB011+1.p_1',owl_eqdis_disjointwith) ).

fof(8,axiom,
    ! [X1,X8] :
      ( iext(uri_rdf_type,X1,X8)
    <=> icext(X8,X1) ),
    file('/tmp/tmpyjXmRg/sel_SWB011+1.p_1',rdfs_cext_def) ).

fof(9,axiom,
    ! [X1] :
      ( icext(uri_owl_Class,X1)
    <=> ic(X1) ),
    file('/tmp/tmpyjXmRg/sel_SWB011+1.p_1',owl_class_classowl_ext) ).

fof(10,axiom,
    ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ),
    file('/tmp/tmpyjXmRg/sel_SWB011+1.p_1',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

fof(25,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_owl_disjointWith,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X1] :
              ( ~ icext(X6,X1)
              | ~ icext(X7,X1) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ? [X1] :
            ( icext(X6,X1)
            & icext(X7,X1) )
        | iext(uri_owl_disjointWith,X6,X7) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(26,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_owl_disjointWith,X8,X9)
        | ( ic(X8)
          & ic(X9)
          & ! [X10] :
              ( ~ icext(X8,X10)
              | ~ icext(X9,X10) ) ) )
      & ( ~ ic(X8)
        | ~ ic(X9)
        | ? [X11] :
            ( icext(X8,X11)
            & icext(X9,X11) )
        | iext(uri_owl_disjointWith,X8,X9) ) ),
    inference(variable_rename,[status(thm)],[25]) ).

fof(27,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_owl_disjointWith,X8,X9)
        | ( ic(X8)
          & ic(X9)
          & ! [X10] :
              ( ~ icext(X8,X10)
              | ~ icext(X9,X10) ) ) )
      & ( ~ ic(X8)
        | ~ ic(X9)
        | ( icext(X8,esk1_2(X8,X9))
          & icext(X9,esk1_2(X8,X9)) )
        | iext(uri_owl_disjointWith,X8,X9) ) ),
    inference(skolemize,[status(esa)],[26]) ).

fof(28,plain,
    ! [X8,X9,X10] :
      ( ( ( ( ~ icext(X8,X10)
            | ~ icext(X9,X10) )
          & ic(X8)
          & ic(X9) )
        | ~ iext(uri_owl_disjointWith,X8,X9) )
      & ( ~ ic(X8)
        | ~ ic(X9)
        | ( icext(X8,esk1_2(X8,X9))
          & icext(X9,esk1_2(X8,X9)) )
        | iext(uri_owl_disjointWith,X8,X9) ) ),
    inference(shift_quantors,[status(thm)],[27]) ).

fof(29,plain,
    ! [X8,X9,X10] :
      ( ( ~ icext(X8,X10)
        | ~ icext(X9,X10)
        | ~ iext(uri_owl_disjointWith,X8,X9) )
      & ( ic(X8)
        | ~ iext(uri_owl_disjointWith,X8,X9) )
      & ( ic(X9)
        | ~ iext(uri_owl_disjointWith,X8,X9) )
      & ( icext(X8,esk1_2(X8,X9))
        | ~ ic(X8)
        | ~ ic(X9)
        | iext(uri_owl_disjointWith,X8,X9) )
      & ( icext(X9,esk1_2(X8,X9))
        | ~ ic(X8)
        | ~ ic(X9)
        | iext(uri_owl_disjointWith,X8,X9) ) ),
    inference(distribute,[status(thm)],[28]) ).

cnf(34,plain,
    ( ~ iext(uri_owl_disjointWith,X1,X2)
    | ~ icext(X2,X3)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(36,plain,
    ! [X1,X8] :
      ( ( ~ iext(uri_rdf_type,X1,X8)
        | icext(X8,X1) )
      & ( ~ icext(X8,X1)
        | iext(uri_rdf_type,X1,X8) ) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(37,plain,
    ! [X9,X10] :
      ( ( ~ iext(uri_rdf_type,X9,X10)
        | icext(X10,X9) )
      & ( ~ icext(X10,X9)
        | iext(uri_rdf_type,X9,X10) ) ),
    inference(variable_rename,[status(thm)],[36]) ).

cnf(39,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(40,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_Class,X1)
        | ic(X1) )
      & ( ~ ic(X1)
        | icext(uri_owl_Class,X1) ) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(41,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_Class,X2)
        | ic(X2) )
      & ( ~ ic(X2)
        | icext(uri_owl_Class,X2) ) ),
    inference(variable_rename,[status(thm)],[40]) ).

cnf(42,plain,
    ( icext(uri_owl_Class,X1)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(43,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

cnf(44,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(45,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(46,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(59,plain,
    ( ic(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[43,39,theory(equality)]) ).

cnf(65,plain,
    ( ~ icext(uri_owl_ObjectProperty,X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(spm,[status(thm)],[34,46,theory(equality)]) ).

cnf(70,plain,
    ( ~ icext(uri_owl_Class,X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_ObjectProperty) ),
    inference(spm,[status(thm)],[65,39,theory(equality)]) ).

cnf(77,plain,
    ( ~ iext(uri_rdf_type,X1,uri_owl_ObjectProperty)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[70,42,theory(equality)]) ).

cnf(101,plain,
    ic(uri_ex_x),
    inference(spm,[status(thm)],[59,45,theory(equality)]) ).

cnf(117,plain,
    ~ ic(uri_ex_x),
    inference(spm,[status(thm)],[77,44,theory(equality)]) ).

cnf(120,plain,
    $false,
    inference(rw,[status(thm)],[117,101,theory(equality)]) ).

cnf(121,plain,
    $false,
    inference(cn,[status(thm)],[120,theory(equality)]) ).

cnf(122,plain,
    $false,
    121,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB011+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpyjXmRg/sel_SWB011+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem SWB011+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB011+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB011+1.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
% 
%------------------------------------------------------------------------------