TSTP Solution File: SWB018+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB018+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 : Tue Feb 15 23:49:02 EST 2011

% Result   : Theorem 0.27s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :  102 (   6 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  119 (  45   ~;  43   |;  27   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   53 (   4 sgn  36   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( iext(uri_rdfs_domain,X1,X2)
    <=> ( ip(X1)
        & ic(X2)
        & ! [X3,X4] :
            ( iext(X1,X3,X4)
           => icext(X2,X3) ) ) ),
    file('/tmp/tmpNtvMUK/sel_SWB018+1.p_1',owl_rdfsext_domain) ).

fof(19,axiom,
    ! [X3,X4] :
      ( iext(uri_owl_sameAs,X3,X4)
    <=> X3 = X4 ),
    file('/tmp/tmpNtvMUK/sel_SWB018+1.p_1',owl_eqdis_sameas) ).

fof(20,axiom,
    ! [X3,X2] :
      ( iext(uri_rdf_type,X3,X2)
    <=> icext(X2,X3) ),
    file('/tmp/tmpNtvMUK/sel_SWB018+1.p_1',rdfs_cext_def) ).

fof(21,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/tmp/tmpNtvMUK/sel_SWB018+1.p_1',testcase_conclusion_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(22,axiom,
    ( iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    file('/tmp/tmpNtvMUK/sel_SWB018+1.p_1',testcase_premise_fullish_018_Modified_Logical_Vocabulary_Semantics) ).

fof(23,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(assume_negation,[status(cth)],[21]) ).

fof(24,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(fof_simplification,[status(thm)],[23,theory(equality)]) ).

fof(25,plain,
    ! [X1,X2] :
      ( ( ~ iext(uri_rdfs_domain,X1,X2)
        | ( ip(X1)
          & ic(X2)
          & ! [X3,X4] :
              ( ~ iext(X1,X3,X4)
              | icext(X2,X3) ) ) )
      & ( ~ ip(X1)
        | ~ ic(X2)
        | ? [X3,X4] :
            ( iext(X1,X3,X4)
            & ~ icext(X2,X3) )
        | iext(uri_rdfs_domain,X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(26,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_rdfs_domain,X5,X6)
        | ( ip(X5)
          & ic(X6)
          & ! [X7,X8] :
              ( ~ iext(X5,X7,X8)
              | icext(X6,X7) ) ) )
      & ( ~ ip(X5)
        | ~ ic(X6)
        | ? [X9,X10] :
            ( iext(X5,X9,X10)
            & ~ icext(X6,X9) )
        | iext(uri_rdfs_domain,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[25]) ).

fof(27,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_rdfs_domain,X5,X6)
        | ( ip(X5)
          & ic(X6)
          & ! [X7,X8] :
              ( ~ iext(X5,X7,X8)
              | icext(X6,X7) ) ) )
      & ( ~ ip(X5)
        | ~ ic(X6)
        | ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
          & ~ icext(X6,esk1_2(X5,X6)) )
        | iext(uri_rdfs_domain,X5,X6) ) ),
    inference(skolemize,[status(esa)],[26]) ).

fof(28,plain,
    ! [X5,X6,X7,X8] :
      ( ( ( ( ~ iext(X5,X7,X8)
            | icext(X6,X7) )
          & ip(X5)
          & ic(X6) )
        | ~ iext(uri_rdfs_domain,X5,X6) )
      & ( ~ ip(X5)
        | ~ ic(X6)
        | ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
          & ~ icext(X6,esk1_2(X5,X6)) )
        | iext(uri_rdfs_domain,X5,X6) ) ),
    inference(shift_quantors,[status(thm)],[27]) ).

fof(29,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ iext(X5,X7,X8)
        | icext(X6,X7)
        | ~ iext(uri_rdfs_domain,X5,X6) )
      & ( ip(X5)
        | ~ iext(uri_rdfs_domain,X5,X6) )
      & ( ic(X6)
        | ~ iext(uri_rdfs_domain,X5,X6) )
      & ( iext(X5,esk1_2(X5,X6),esk2_2(X5,X6))
        | ~ ip(X5)
        | ~ ic(X6)
        | iext(uri_rdfs_domain,X5,X6) )
      & ( ~ icext(X6,esk1_2(X5,X6))
        | ~ ip(X5)
        | ~ ic(X6)
        | iext(uri_rdfs_domain,X5,X6) ) ),
    inference(distribute,[status(thm)],[28]) ).

cnf(34,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X2)
    | ~ iext(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(88,plain,
    ! [X3,X4] :
      ( ( ~ iext(uri_owl_sameAs,X3,X4)
        | X3 = X4 )
      & ( X3 != X4
        | iext(uri_owl_sameAs,X3,X4) ) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(89,plain,
    ! [X5,X6] :
      ( ( ~ iext(uri_owl_sameAs,X5,X6)
        | X5 = X6 )
      & ( X5 != X6
        | iext(uri_owl_sameAs,X5,X6) ) ),
    inference(variable_rename,[status(thm)],[88]) ).

cnf(90,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[89]) ).

fof(92,plain,
    ! [X3,X2] :
      ( ( ~ iext(uri_rdf_type,X3,X2)
        | icext(X2,X3) )
      & ( ~ icext(X2,X3)
        | iext(uri_rdf_type,X3,X2) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(93,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)],[92]) ).

cnf(94,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[93]) ).

cnf(96,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[24]) ).

cnf(98,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(split_conjunct,[status(thm)],[22]) ).

cnf(116,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[90,theory(equality)]) ).

cnf(132,plain,
    ( icext(uri_ex_Person,X1)
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(spm,[status(thm)],[34,98,theory(equality)]) ).

cnf(174,plain,
    icext(uri_ex_Person,X1),
    inference(spm,[status(thm)],[132,116,theory(equality)]) ).

cnf(178,plain,
    iext(uri_rdf_type,X1,uri_ex_Person),
    inference(spm,[status(thm)],[94,174,theory(equality)]) ).

cnf(184,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[96,178,theory(equality)]) ).

cnf(185,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[184,theory(equality)]) ).

cnf(186,negated_conjecture,
    $false,
    185,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB018+1.p
% --creating new selector for [SWB001+0.ax]
% -running prover on /tmp/tmpNtvMUK/sel_SWB018+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWB018+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB018+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB018+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
% 
%------------------------------------------------------------------------------