TSTP Solution File: SWB005+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWB005+2 : TPTP v5.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 23:39:57 EST 2011

% Result   : Theorem 0.49s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   52 (  14 unt;   0 def)
%            Number of atoms       :  167 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  194 (  79   ~;  85   |;  24   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   43 (   7 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
      ( icext(uri_owl_ObjectProperty,X1)
    <=> ip(X1) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',owl_class_objectproperty_ext) ).

fof(2,axiom,
    ! [X2,X3,X4] :
      ( iext(X3,X2,X4)
     => ip(X3) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',simple_iext_property) ).

fof(3,axiom,
    ! [X3] :
      ( iext(uri_rdf_type,X3,uri_rdf_Property)
    <=> ip(X3) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',rdf_type_ip) ).

fof(4,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',owl_class_thing_ext) ).

fof(5,axiom,
    ! [X1] :
      ( ir(X1)
    <=> icext(uri_rdfs_Resource,X1) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',rdfs_ir_def) ).

fof(6,axiom,
    ! [X1] : ir(X1),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',simple_ir) ).

fof(7,axiom,
    ! [X1,X5] :
      ( iext(uri_rdf_type,X1,X5)
    <=> icext(X5,X1) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',rdfs_cext_def) ).

fof(8,conjecture,
    ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(9,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/tmp/tmpcl9-E0/sel_SWB005+2.p_1',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(10,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(assume_negation,[status(cth)],[8]) ).

fof(11,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_ObjectProperty,X1)
        | ip(X1) )
      & ( ~ ip(X1)
        | icext(uri_owl_ObjectProperty,X1) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(12,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_ObjectProperty,X2)
        | ip(X2) )
      & ( ~ ip(X2)
        | icext(uri_owl_ObjectProperty,X2) ) ),
    inference(variable_rename,[status(thm)],[11]) ).

cnf(13,plain,
    ( icext(uri_owl_ObjectProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[12]) ).

fof(15,plain,
    ! [X2,X3,X4] :
      ( ~ iext(X3,X2,X4)
      | ip(X3) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(16,plain,
    ! [X5,X6,X7] :
      ( ~ iext(X6,X5,X7)
      | ip(X6) ),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(17,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(18,plain,
    ! [X3] :
      ( ( ~ iext(uri_rdf_type,X3,uri_rdf_Property)
        | ip(X3) )
      & ( ~ ip(X3)
        | iext(uri_rdf_type,X3,uri_rdf_Property) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(19,plain,
    ! [X4] :
      ( ( ~ iext(uri_rdf_type,X4,uri_rdf_Property)
        | ip(X4) )
      & ( ~ ip(X4)
        | iext(uri_rdf_type,X4,uri_rdf_Property) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

cnf(20,plain,
    ( iext(uri_rdf_type,X1,uri_rdf_Property)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(22,plain,
    ! [X1] :
      ( ( ~ icext(uri_owl_Thing,X1)
        | ir(X1) )
      & ( ~ ir(X1)
        | icext(uri_owl_Thing,X1) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(23,plain,
    ! [X2] :
      ( ( ~ icext(uri_owl_Thing,X2)
        | ir(X2) )
      & ( ~ ir(X2)
        | icext(uri_owl_Thing,X2) ) ),
    inference(variable_rename,[status(thm)],[22]) ).

cnf(24,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(26,plain,
    ! [X1] :
      ( ( ~ ir(X1)
        | icext(uri_rdfs_Resource,X1) )
      & ( ~ icext(uri_rdfs_Resource,X1)
        | ir(X1) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(27,plain,
    ! [X2] :
      ( ( ~ ir(X2)
        | icext(uri_rdfs_Resource,X2) )
      & ( ~ icext(uri_rdfs_Resource,X2)
        | ir(X2) ) ),
    inference(variable_rename,[status(thm)],[26]) ).

cnf(29,plain,
    ( icext(uri_rdfs_Resource,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[27]) ).

fof(30,plain,
    ! [X2] : ir(X2),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(31,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[30]) ).

fof(32,plain,
    ! [X1,X5] :
      ( ( ~ iext(uri_rdf_type,X1,X5)
        | icext(X5,X1) )
      & ( ~ icext(X5,X1)
        | iext(uri_rdf_type,X1,X5) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(33,plain,
    ! [X6,X7] :
      ( ( ~ iext(uri_rdf_type,X6,X7)
        | icext(X7,X6) )
      & ( ~ icext(X7,X6)
        | iext(uri_rdf_type,X6,X7) ) ),
    inference(variable_rename,[status(thm)],[32]) ).

cnf(34,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(36,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(fof_nnf,[status(thm)],[10]) ).

cnf(37,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(split_conjunct,[status(thm)],[36]) ).

cnf(38,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(split_conjunct,[status(thm)],[9]) ).

cnf(41,plain,
    ( icext(uri_owl_Thing,X1)
    | $false ),
    inference(rw,[status(thm)],[24,31,theory(equality)]),
    [unfolding] ).

cnf(42,plain,
    ( icext(uri_rdfs_Resource,X1)
    | $false ),
    inference(rw,[status(thm)],[29,31,theory(equality)]),
    [unfolding] ).

cnf(44,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[17,38,theory(equality)]) ).

cnf(48,plain,
    iext(uri_rdf_type,X1,uri_owl_Thing),
    inference(spm,[status(thm)],[34,41,theory(equality)]) ).

cnf(49,plain,
    iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(spm,[status(thm)],[34,42,theory(equality)]) ).

cnf(51,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[20,44,theory(equality)]) ).

cnf(52,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(spm,[status(thm)],[13,44,theory(equality)]) ).

cnf(54,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[37,48,theory(equality)]) ).

cnf(55,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[54,48,theory(equality)]) ).

cnf(56,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | $false
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[55,48,theory(equality)]) ).

cnf(57,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(cn,[status(thm)],[56,theory(equality)]) ).

cnf(62,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[57,49,theory(equality)]) ).

cnf(63,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[62,51,theory(equality)]) ).

cnf(64,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | $false
    | $false
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(rw,[status(thm)],[63,49,theory(equality)]) ).

cnf(65,negated_conjecture,
    ( $false
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[64,49,theory(equality)]) ).

cnf(66,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(cn,[status(thm)],[65,theory(equality)]) ).

cnf(72,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(spm,[status(thm)],[34,52,theory(equality)]) ).

cnf(73,plain,
    $false,
    inference(sr,[status(thm)],[72,66,theory(equality)]) ).

cnf(74,plain,
    $false,
    73,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWB/SWB005+2.p
% --creating new selector for []
% -running prover on /tmp/tmpcl9-E0/sel_SWB005+2.p_1 with time limit 29
% -prover status Theorem
% Problem SWB005+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWB/SWB005+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWB/SWB005+2.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
% 
%------------------------------------------------------------------------------