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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWB005+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Jul 25 04:05:08 PM UTC 2025

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   46 (  13 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   97 (  40   ~;  37   |;  14   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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   :   20 (   3 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,plain,
    ( 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('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(testcase_conclusion_fullish_005_Everything_is_a_Resource_negated,plain,
    ~ ( 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(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).

cnf(12,plain,
    ( ~ 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)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(cnf,[status(esa)],[testcase_conclusion_fullish_005_Everything_is_a_Resource_negated]) ).

cnf(l0,plain,
    ( ~ 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)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(instantiation,[status(thm)],[12]) ).

fof(rdfs_cext_def,plain,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

cnf(5,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

cnf(l10,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_o)
    | iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l2,plain,
    ( ~ icext(uri_rdfs_Resource,uri_ex_p)
    | iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l11,plain,
    ( ~ icext(uri_owl_ObjectProperty,uri_ex_p)
    | iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l7,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_p)
    | iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    inference(instantiation,[status(thm)],[5]) ).

fof(rdf_type_ip,plain,
    ! [P] :
      ( iext(uri_rdf_type,P,uri_rdf_Property)
    <=> ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

cnf(3,plain,
    ( ~ ip(X0)
    | iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf,[status(esa)],[rdf_type_ip]) ).

cnf(l1,plain,
    ( ~ ip(uri_ex_p)
    | iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
    inference(instantiation,[status(thm)],[3]) ).

cnf(l6,plain,
    ( ~ icext(uri_rdfs_Resource,uri_ex_o)
    | iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(instantiation,[status(thm)],[5]) ).

fof(owl_class_thing_ext,plain,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

cnf(9,plain,
    ( ~ ir(X0)
    | icext(uri_owl_Thing,X0) ),
    inference(cnf,[status(esa)],[owl_class_thing_ext]) ).

cnf(l9,plain,
    ( ~ ir(uri_ex_p)
    | icext(uri_owl_Thing,uri_ex_p) ),
    inference(instantiation,[status(thm)],[9]) ).

fof(rdfs_ir_def,plain,
    ! [X] :
      ( ir(X)
    <=> icext(uri_rdfs_Resource,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).

cnf(6,plain,
    ( ~ ir(X0)
    | icext(uri_rdfs_Resource,X0) ),
    inference(cnf,[status(esa)],[rdfs_ir_def]) ).

cnf(l12,plain,
    ( ~ ir(uri_ex_p)
    | icext(uri_rdfs_Resource,uri_ex_p) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l16,plain,
    ( ~ icext(uri_rdfs_Resource,uri_ex_s)
    | iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(instantiation,[status(thm)],[5]) ).

fof(simple_iext_property,plain,
    ! [S,P,O] :
      ( iext(P,S,O)
     => ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

cnf(1,plain,
    ( ~ iext(X0,X1,X2)
    | ip(X0) ),
    inference(cnf,[status(esa)],[simple_iext_property]) ).

cnf(l4,plain,
    ( ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[1]) ).

fof(owl_class_objectproperty_ext,plain,
    ! [X] :
      ( icext(uri_owl_ObjectProperty,X)
    <=> ip(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

cnf(11,plain,
    ( ~ ip(X0)
    | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf,[status(esa)],[owl_class_objectproperty_ext]) ).

cnf(l21,plain,
    ( ~ ip(uri_ex_p)
    | icext(uri_owl_ObjectProperty,uri_ex_p) ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l3,plain,
    ( ~ icext(uri_owl_Thing,uri_ex_s)
    | iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l5,plain,
    ( ~ ir(uri_ex_s)
    | icext(uri_owl_Thing,uri_ex_s) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(l25,plain,
    ( ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ip(uri_ex_p) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l19,plain,
    ( ~ ir(uri_ex_s)
    | icext(uri_rdfs_Resource,uri_ex_s) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l15,plain,
    ( ~ ir(uri_ex_o)
    | icext(uri_owl_Thing,uri_ex_o) ),
    inference(instantiation,[status(thm)],[9]) ).

fof(simple_ir,plain,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

cnf(0,plain,
    ir(X0),
    inference(cnf,[status(esa)],[simple_ir]) ).

cnf(l24,plain,
    ir(uri_ex_o),
    inference(instantiation,[status(thm)],[0]) ).

fof(testcase_premise_fullish_005_Everything_is_a_Resource,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

cnf(13,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf,[status(esa)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).

cnf(l27,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l17,plain,
    ir(uri_ex_p),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l23,plain,
    ir(uri_ex_p),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l14,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l13,plain,
    ( ~ ir(uri_ex_o)
    | icext(uri_rdfs_Resource,uri_ex_o) ),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l8,plain,
    ir(uri_ex_s),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l22,plain,
    ir(uri_ex_o),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l20,plain,
    ir(uri_ex_s),
    inference(instantiation,[status(thm)],[0]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l10,l2,l11,l7,l1,l6,l9,l12,l16,l4,l21,l3,l5,l25,l19,l15,l24,l27,l17,l23,l14,l13,l8,l22,l20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWB005+2 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 22 03:52:49 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 7
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 2
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 6
% 0.12/0.33  % launching worker at depth: 1
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 9
% 0.12/0.33  % launching worker at depth: 10
% 0.12/0.34  % launching worker at depth: 11
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------