TSTP Solution File: SWB054+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB054+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 : Fri Mar  4 00:41:42 EST 2011

% Result   : Theorem 0.39s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (  15 unt;   0 def)
%            Number of atoms       :  127 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  144 (  56   ~;  55   |;  28   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   46 (   2 sgn  32   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1] : ir(X1),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',simple_ir) ).

fof(6,axiom,
    ic(uri_owl_Thing),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',owl_class_thing_type) ).

fof(7,axiom,
    ! [X4,X5] :
      ( iext(uri_rdfs_subClassOf,X4,X5)
    <=> ( ic(X4)
        & ic(X5)
        & ! [X1] :
            ( icext(X4,X1)
           => icext(X5,X1) ) ) ),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',owl_rdfsext_subclassof) ).

fof(16,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',owl_class_thing_ext) ).

fof(18,axiom,
    ! [X1] :
      ( icext(uri_owl_Class,X1)
    <=> ic(X1) ),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',owl_class_classowl_ext) ).

fof(23,axiom,
    ! [X1,X3] :
      ( iext(uri_rdf_type,X1,X3)
    <=> icext(X3,X1) ),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',rdfs_cext_def) ).

fof(24,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',conclusion_rdfbased_sem_class_thing_term) ).

fof(25,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/tmp/tmp4DF8Uf/sel_SWB054+1.p_1',premise_rdfbased_sem_class_thing_term) ).

fof(26,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(assume_negation,[status(cth)],[24]) ).

fof(27,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(fof_simplification,[status(thm)],[26,theory(equality)]) ).

fof(34,plain,
    ! [X2] : ir(X2),
    inference(variable_rename,[status(thm)],[4]) ).

cnf(35,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[34]) ).

cnf(39,plain,
    ic(uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[6]) ).

fof(40,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdfs_subClassOf,X4,X5)
        | ( ic(X4)
          & ic(X5)
          & ! [X1] :
              ( ~ icext(X4,X1)
              | icext(X5,X1) ) ) )
      & ( ~ ic(X4)
        | ~ ic(X5)
        | ? [X1] :
            ( icext(X4,X1)
            & ~ icext(X5,X1) )
        | iext(uri_rdfs_subClassOf,X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(41,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdfs_subClassOf,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ? [X9] :
            ( icext(X6,X9)
            & ~ icext(X7,X9) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[40]) ).

fof(42,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdfs_subClassOf,X6,X7)
        | ( ic(X6)
          & ic(X7)
          & ! [X8] :
              ( ~ icext(X6,X8)
              | icext(X7,X8) ) ) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk1_2(X6,X7))
          & ~ icext(X7,esk1_2(X6,X7)) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(skolemize,[status(esa)],[41]) ).

fof(43,plain,
    ! [X6,X7,X8] :
      ( ( ( ( ~ icext(X6,X8)
            | icext(X7,X8) )
          & ic(X6)
          & ic(X7) )
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ~ ic(X6)
        | ~ ic(X7)
        | ( icext(X6,esk1_2(X6,X7))
          & ~ icext(X7,esk1_2(X6,X7)) )
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[42]) ).

fof(44,plain,
    ! [X6,X7,X8] :
      ( ( ~ icext(X6,X8)
        | icext(X7,X8)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ic(X6)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ic(X7)
        | ~ iext(uri_rdfs_subClassOf,X6,X7) )
      & ( icext(X6,esk1_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_rdfs_subClassOf,X6,X7) )
      & ( ~ icext(X7,esk1_2(X6,X7))
        | ~ ic(X6)
        | ~ ic(X7)
        | iext(uri_rdfs_subClassOf,X6,X7) ) ),
    inference(distribute,[status(thm)],[43]) ).

cnf(45,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk1_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(80,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_Thing,X1)
        | ir(X1) )
      & ( ~ ir(X1)
        | icext(uri_owl_Thing,X1) ) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(81,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_Thing,X2)
        | ir(X2) )
      & ( ~ ir(X2)
        | icext(uri_owl_Thing,X2) ) ),
    inference(variable_rename,[status(thm)],[80]) ).

cnf(82,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[81]) ).

fof(87,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_Class,X1)
        | ic(X1) )
      & ( ~ ic(X1)
        | icext(uri_owl_Class,X1) ) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(88,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_Class,X2)
        | ic(X2) )
      & ( ~ ic(X2)
        | icext(uri_owl_Class,X2) ) ),
    inference(variable_rename,[status(thm)],[87]) ).

cnf(90,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(split_conjunct,[status(thm)],[88]) ).

fof(107,plain,
    ! [X1,X3] :
      ( ( ~ iext(uri_rdf_type,X1,X3)
        | icext(X3,X1) )
      & ( ~ icext(X3,X1)
        | iext(uri_rdf_type,X1,X3) ) ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(108,plain,
    ! [X4,X5] :
      ( ( ~ iext(uri_rdf_type,X4,X5)
        | icext(X5,X4) )
      & ( ~ icext(X5,X4)
        | iext(uri_rdf_type,X4,X5) ) ),
    inference(variable_rename,[status(thm)],[107]) ).

cnf(110,plain,
    ( icext(X1,X2)
    | ~ iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[108]) ).

cnf(111,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[27]) ).

cnf(112,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(123,plain,
    ( icext(uri_owl_Thing,X1)
    | $false ),
    inference(rw,[status(thm)],[82,35,theory(equality)]),
    [unfolding] ).

cnf(144,plain,
    ( ic(X1)
    | ~ iext(uri_rdf_type,X1,uri_owl_Class) ),
    inference(spm,[status(thm)],[90,110,theory(equality)]) ).

cnf(155,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | ~ ic(uri_owl_Thing)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[45,123,theory(equality)]) ).

cnf(160,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | $false
    | ~ ic(X1) ),
    inference(rw,[status(thm)],[155,39,theory(equality)]) ).

cnf(161,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[160,theory(equality)]) ).

cnf(169,negated_conjecture,
    ~ ic(uri_ex_c),
    inference(spm,[status(thm)],[111,161,theory(equality)]) ).

cnf(179,plain,
    ic(uri_ex_c),
    inference(spm,[status(thm)],[144,112,theory(equality)]) ).

cnf(181,plain,
    $false,
    inference(sr,[status(thm)],[179,169,theory(equality)]) ).

cnf(182,plain,
    $false,
    181,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB054+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmp4DF8Uf/sel_SWB054+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB054+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB054+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB054+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
% 
%------------------------------------------------------------------------------