TSTP Solution File: SWB065+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB065+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 00:45:10 EST 2011

% Result   : Theorem 0.37s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :  157 (  34 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  198 (  77   ~;  81   |;  35   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   59 (   0 sgn  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(16,axiom,
    ! [X5,X6,X12] :
      ( ( iext(uri_rdf_first,X6,X12)
        & iext(uri_rdf_rest,X6,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X5,X6)
      <=> ( ic(X5)
          & ! [X1] :
              ( icext(X5,X1)
            <=> X1 = X12 ) ) ) ),
    file('/tmp/tmpjlMaSB/sel_SWB065+1.p_1',owl_enum_class_001) ).

fof(22,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_sameAs,X1,X2)
    <=> X1 = X2 ),
    file('/tmp/tmpjlMaSB/sel_SWB065+1.p_1',owl_eqdis_sameas) ).

fof(38,axiom,
    ! [X1,X4] :
      ( iext(uri_rdf_type,X1,X4)
    <=> icext(X4,X1) ),
    file('/tmp/tmpjlMaSB/sel_SWB065+1.p_1',rdfs_cext_def) ).

fof(41,axiom,
    ? [X17,X18] :
      ( iext(uri_rdf_first,X17,uri_ex_u)
      & iext(uri_rdf_rest,X17,uri_rdf_nil)
      & iext(uri_owl_oneOf,X18,X17)
      & iext(uri_rdf_type,uri_ex_w,X18) ),
    file('/tmp/tmpjlMaSB/sel_SWB065+1.p_1',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(42,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/tmp/tmpjlMaSB/sel_SWB065+1.p_1',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

fof(43,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[42]) ).

fof(45,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).

fof(102,plain,
    ! [X5,X6,X12] :
      ( ~ iext(uri_rdf_first,X6,X12)
      | ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_oneOf,X5,X6)
          | ( ic(X5)
            & ! [X1] :
                ( ( ~ icext(X5,X1)
                  | X1 = X12 )
                & ( X1 != X12
                  | icext(X5,X1) ) ) ) )
        & ( ~ ic(X5)
          | ? [X1] :
              ( ( ~ icext(X5,X1)
                | X1 != X12 )
              & ( icext(X5,X1)
                | X1 = X12 ) )
          | iext(uri_owl_oneOf,X5,X6) ) ) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(103,plain,
    ! [X13,X14,X15] :
      ( ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_oneOf,X13,X14)
          | ( ic(X13)
            & ! [X16] :
                ( ( ~ icext(X13,X16)
                  | X16 = X15 )
                & ( X16 != X15
                  | icext(X13,X16) ) ) ) )
        & ( ~ ic(X13)
          | ? [X17] :
              ( ( ~ icext(X13,X17)
                | X17 != X15 )
              & ( icext(X13,X17)
                | X17 = X15 ) )
          | iext(uri_owl_oneOf,X13,X14) ) ) ),
    inference(variable_rename,[status(thm)],[102]) ).

fof(104,plain,
    ! [X13,X14,X15] :
      ( ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil)
      | ( ( ~ iext(uri_owl_oneOf,X13,X14)
          | ( ic(X13)
            & ! [X16] :
                ( ( ~ icext(X13,X16)
                  | X16 = X15 )
                & ( X16 != X15
                  | icext(X13,X16) ) ) ) )
        & ( ~ ic(X13)
          | ( ( ~ icext(X13,esk5_3(X13,X14,X15))
              | esk5_3(X13,X14,X15) != X15 )
            & ( icext(X13,esk5_3(X13,X14,X15))
              | esk5_3(X13,X14,X15) = X15 ) )
          | iext(uri_owl_oneOf,X13,X14) ) ) ),
    inference(skolemize,[status(esa)],[103]) ).

fof(105,plain,
    ! [X13,X14,X15,X16] :
      ( ( ( ( ( ~ icext(X13,X16)
              | X16 = X15 )
            & ( X16 != X15
              | icext(X13,X16) )
            & ic(X13) )
          | ~ iext(uri_owl_oneOf,X13,X14) )
        & ( ~ ic(X13)
          | ( ( ~ icext(X13,esk5_3(X13,X14,X15))
              | esk5_3(X13,X14,X15) != X15 )
            & ( icext(X13,esk5_3(X13,X14,X15))
              | esk5_3(X13,X14,X15) = X15 ) )
          | iext(uri_owl_oneOf,X13,X14) ) )
      | ~ iext(uri_rdf_first,X14,X15)
      | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ),
    inference(shift_quantors,[status(thm)],[104]) ).

fof(106,plain,
    ! [X13,X14,X15,X16] :
      ( ( ~ icext(X13,X16)
        | X16 = X15
        | ~ iext(uri_owl_oneOf,X13,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( X16 != X15
        | icext(X13,X16)
        | ~ iext(uri_owl_oneOf,X13,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ic(X13)
        | ~ iext(uri_owl_oneOf,X13,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( ~ icext(X13,esk5_3(X13,X14,X15))
        | esk5_3(X13,X14,X15) != X15
        | ~ ic(X13)
        | iext(uri_owl_oneOf,X13,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) )
      & ( icext(X13,esk5_3(X13,X14,X15))
        | esk5_3(X13,X14,X15) = X15
        | ~ ic(X13)
        | iext(uri_owl_oneOf,X13,X14)
        | ~ iext(uri_rdf_first,X14,X15)
        | ~ iext(uri_rdf_rest,X14,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[105]) ).

cnf(111,plain,
    ( X4 = X2
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_owl_oneOf,X3,X1)
    | ~ icext(X3,X4) ),
    inference(split_conjunct,[status(thm)],[106]) ).

fof(146,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_owl_sameAs,X1,X2)
        | X1 = X2 )
      & ( X1 != X2
        | iext(uri_owl_sameAs,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(147,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_owl_sameAs,X3,X4)
        | X3 = X4 )
      & ( X3 != X4
        | iext(uri_owl_sameAs,X3,X4) ) ),
    inference(variable_rename,[status(thm)],[146]) ).

cnf(148,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[147]) ).

fof(201,plain,
    ! [X1,X4] :
      ( ( ~ iext(uri_rdf_type,X1,X4)
        | icext(X4,X1) )
      & ( ~ icext(X4,X1)
        | iext(uri_rdf_type,X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[38]) ).

fof(202,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)],[201]) ).

cnf(204,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[202]) ).

fof(207,plain,
    ? [X19,X20] :
      ( iext(uri_rdf_first,X19,uri_ex_u)
      & iext(uri_rdf_rest,X19,uri_rdf_nil)
      & iext(uri_owl_oneOf,X20,X19)
      & iext(uri_rdf_type,uri_ex_w,X20) ),
    inference(variable_rename,[status(thm)],[41]) ).

fof(208,plain,
    ( iext(uri_rdf_first,esk10_0,uri_ex_u)
    & iext(uri_rdf_rest,esk10_0,uri_rdf_nil)
    & iext(uri_owl_oneOf,esk11_0,esk10_0)
    & iext(uri_rdf_type,uri_ex_w,esk11_0) ),
    inference(skolemize,[status(esa)],[207]) ).

cnf(209,plain,
    iext(uri_rdf_type,uri_ex_w,esk11_0),
    inference(split_conjunct,[status(thm)],[208]) ).

cnf(210,plain,
    iext(uri_owl_oneOf,esk11_0,esk10_0),
    inference(split_conjunct,[status(thm)],[208]) ).

cnf(211,plain,
    iext(uri_rdf_rest,esk10_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[208]) ).

cnf(212,plain,
    iext(uri_rdf_first,esk10_0,uri_ex_u),
    inference(split_conjunct,[status(thm)],[208]) ).

cnf(213,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[45]) ).

cnf(232,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[148,theory(equality)]) ).

cnf(278,plain,
    ( X1 = X2
    | ~ icext(esk11_0,X2)
    | ~ iext(uri_rdf_rest,esk10_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,esk10_0,X1) ),
    inference(spm,[status(thm)],[111,210,theory(equality)]) ).

cnf(279,plain,
    ( X1 = X2
    | ~ icext(esk11_0,X2)
    | $false
    | ~ iext(uri_rdf_first,esk10_0,X1) ),
    inference(rw,[status(thm)],[278,211,theory(equality)]) ).

cnf(280,plain,
    ( X1 = X2
    | ~ icext(esk11_0,X2)
    | ~ iext(uri_rdf_first,esk10_0,X1) ),
    inference(cn,[status(thm)],[279,theory(equality)]) ).

cnf(645,plain,
    ( uri_ex_u = X1
    | ~ icext(esk11_0,X1) ),
    inference(spm,[status(thm)],[280,212,theory(equality)]) ).

cnf(646,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_rdf_type,X1,esk11_0) ),
    inference(spm,[status(thm)],[645,204,theory(equality)]) ).

cnf(687,plain,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[646,209,theory(equality)]) ).

cnf(698,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[213,687,theory(equality)]),232,theory(equality)]) ).

cnf(699,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[698,theory(equality)]) ).

cnf(700,negated_conjecture,
    $false,
    699,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB065+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpjlMaSB/sel_SWB065+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB065+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB065+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB065+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
% 
%------------------------------------------------------------------------------