TSTP Solution File: SWB003+4 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 : 600s
% DateTime : Tue Jul 19 19:13:07 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 125
% Syntax : Number of formulae : 483 ( 349 unt; 43 typ; 0 def)
% Number of atoms : 1743 ( 447 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 2778 ( 351 ~; 335 |; 34 &;2018 @)
% ( 10 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 43 usr; 38 con; 0-3 aty)
% Number of variables : 580 ( 0 ^ 576 !; 4 ?; 580 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dat_str_foo,type,
dat_str_foo: $i ).
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_ir,type,
ir: $i > $o ).
thf(tp_literal_plain,type,
literal_plain: $i > $i ).
thf(tp_lv,type,
lv: $i > $o ).
thf(tp_uri_ex_p,type,
uri_ex_p: $i ).
thf(tp_uri_ex_s,type,
uri_ex_s: $i ).
thf(tp_uri_rdf_Alt,type,
uri_rdf_Alt: $i ).
thf(tp_uri_rdf_Bag,type,
uri_rdf_Bag: $i ).
thf(tp_uri_rdf_List,type,
uri_rdf_List: $i ).
thf(tp_uri_rdf_Property,type,
uri_rdf_Property: $i ).
thf(tp_uri_rdf_XMLLiteral,type,
uri_rdf_XMLLiteral: $i ).
thf(tp_uri_rdf__1,type,
uri_rdf__1: $i ).
thf(tp_uri_rdf__2,type,
uri_rdf__2: $i ).
thf(tp_uri_rdf__3,type,
uri_rdf__3: $i ).
thf(tp_uri_rdf_first,type,
uri_rdf_first: $i ).
thf(tp_uri_rdf_nil,type,
uri_rdf_nil: $i ).
thf(tp_uri_rdf_object,type,
uri_rdf_object: $i ).
thf(tp_uri_rdf_predicate,type,
uri_rdf_predicate: $i ).
thf(tp_uri_rdf_rest,type,
uri_rdf_rest: $i ).
thf(tp_uri_rdf_subject,type,
uri_rdf_subject: $i ).
thf(tp_uri_rdf_type,type,
uri_rdf_type: $i ).
thf(tp_uri_rdf_value,type,
uri_rdf_value: $i ).
thf(tp_uri_rdfs_Class,type,
uri_rdfs_Class: $i ).
thf(tp_uri_rdfs_Container,type,
uri_rdfs_Container: $i ).
thf(tp_uri_rdfs_ContainerMembershipProperty,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(tp_uri_rdfs_Datatype,type,
uri_rdfs_Datatype: $i ).
thf(tp_uri_rdfs_Literal,type,
uri_rdfs_Literal: $i ).
thf(tp_uri_rdfs_Resource,type,
uri_rdfs_Resource: $i ).
thf(tp_uri_rdfs_Seq,type,
uri_rdfs_Seq: $i ).
thf(tp_uri_rdfs_Statement,type,
uri_rdfs_Statement: $i ).
thf(tp_uri_rdfs_comment,type,
uri_rdfs_comment: $i ).
thf(tp_uri_rdfs_domain,type,
uri_rdfs_domain: $i ).
thf(tp_uri_rdfs_isDefinedBy,type,
uri_rdfs_isDefinedBy: $i ).
thf(tp_uri_rdfs_label,type,
uri_rdfs_label: $i ).
thf(tp_uri_rdfs_member,type,
uri_rdfs_member: $i ).
thf(tp_uri_rdfs_range,type,
uri_rdfs_range: $i ).
thf(tp_uri_rdfs_seeAlso,type,
uri_rdfs_seeAlso: $i ).
thf(tp_uri_rdfs_subClassOf,type,
uri_rdfs_subClassOf: $i ).
thf(tp_uri_rdfs_subPropertyOf,type,
uri_rdfs_subPropertyOf: $i ).
thf(1,axiom,
iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).
thf(2,axiom,
iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(3,axiom,
iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(4,axiom,
iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(5,axiom,
iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(6,axiom,
! [P: $i,Q: $i,R: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
& ( iext @ uri_rdfs_subPropertyOf @ Q @ R ) )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(7,axiom,
! [P: $i] :
( ( ip @ P )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(8,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(9,axiom,
! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(10,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(11,axiom,
! [C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ C @ D )
& ( iext @ uri_rdfs_subClassOf @ D @ E ) )
=> ( iext @ uri_rdfs_subClassOf @ C @ E ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(12,axiom,
! [C: $i] :
( ( ic @ C )
=> ( iext @ uri_rdfs_subClassOf @ C @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(13,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(14,axiom,
! [C: $i,D: $i] :
( ( iext @ uri_rdfs_subClassOf @ C @ D )
=> ( ( ic @ C )
& ( ic @ D )
& ! [X: $i] :
( ( icext @ C @ X )
=> ( icext @ D @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(15,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(16,axiom,
iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(17,axiom,
iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(18,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(19,axiom,
iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(20,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(21,axiom,
iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(22,axiom,
iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(23,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_range @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(24,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(25,axiom,
iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(26,axiom,
! [X: $i] :
( ( lv @ X )
<=> ( icext @ uri_rdfs_Literal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(27,axiom,
! [X: $i] :
( ( ir @ X )
<=> ( icext @ uri_rdfs_Resource @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(28,axiom,
! [X: $i] :
( ( ic @ X )
<=> ( icext @ uri_rdfs_Class @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(29,axiom,
iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(30,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(31,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(32,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(33,axiom,
! [D: $i] :
( ( icext @ uri_rdfs_Datatype @ D )
=> ( iext @ uri_rdfs_subClassOf @ D @ uri_rdfs_Literal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(34,axiom,
iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(35,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(36,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(37,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(38,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(39,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(40,axiom,
iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(41,axiom,
iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(42,axiom,
iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(43,axiom,
iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(44,axiom,
iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(45,axiom,
iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(46,axiom,
iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(47,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(48,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(49,axiom,
! [P: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ P )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ uri_rdfs_member ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(50,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(51,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(52,axiom,
iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(53,axiom,
iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(54,axiom,
iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(55,axiom,
iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(56,axiom,
! [C: $i] :
( ( ic @ C )
=> ( iext @ uri_rdfs_subClassOf @ C @ uri_rdfs_Resource ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(57,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(58,axiom,
iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(59,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(60,axiom,
iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(61,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(62,axiom,
iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(63,axiom,
iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(64,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(65,axiom,
iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(66,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(67,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_value_type) ).
thf(68,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_type) ).
thf(69,axiom,
! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(70,axiom,
iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(71,axiom,
iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(72,axiom,
iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(73,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(74,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(75,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(76,axiom,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(77,axiom,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(78,axiom,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(79,axiom,
! [X: $i] :
( ( lv @ X )
=> ( ir @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_lv) ).
thf(80,axiom,
! [X: $i] : ( ir @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(81,axiom,
! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
thf(82,conjecture,
? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).
thf(83,negated_conjecture,
( ( ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
= $false ),
inference(negate_conjecture,[status(cth)],[82]) ).
thf(84,plain,
( ( ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
= $false ),
inference(unfold_def,[status(thm)],[83]) ).
thf(85,plain,
( ( iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(86,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(87,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(88,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(89,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(90,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
& ( iext @ uri_rdfs_subPropertyOf @ Q @ R ) )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(91,plain,
( ( ! [P: $i] :
( ( ip @ P )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(92,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(93,plain,
( ( ! [P: $i,Q: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
=> ( ( ip @ P )
& ( ip @ Q )
& ! [X: $i,Y: $i] :
( ( iext @ P @ X @ Y )
=> ( iext @ Q @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(94,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(95,plain,
( ( ! [C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ C @ D )
& ( iext @ uri_rdfs_subClassOf @ D @ E ) )
=> ( iext @ uri_rdfs_subClassOf @ C @ E ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(96,plain,
( ( ! [C: $i] :
( ( ic @ C )
=> ( iext @ uri_rdfs_subClassOf @ C @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(97,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(98,plain,
( ( ! [C: $i,D: $i] :
( ( iext @ uri_rdfs_subClassOf @ C @ D )
=> ( ( ic @ C )
& ( ic @ D )
& ! [X: $i] :
( ( icext @ C @ X )
=> ( icext @ D @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(99,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(100,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(101,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(102,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(103,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(104,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(105,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(106,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(107,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_range @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(108,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(109,plain,
( ( iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(110,plain,
( ( ! [X: $i] :
( ( lv @ X )
<=> ( icext @ uri_rdfs_Literal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(111,plain,
( ( ! [X: $i] :
( ( ir @ X )
<=> ( icext @ uri_rdfs_Resource @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(112,plain,
( ( ! [X: $i] :
( ( ic @ X )
<=> ( icext @ uri_rdfs_Class @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(113,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(114,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( ( iext @ uri_rdfs_domain @ P @ C )
& ( iext @ P @ X @ Y ) )
=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(115,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(116,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(117,plain,
( ( ! [D: $i] :
( ( icext @ uri_rdfs_Datatype @ D )
=> ( iext @ uri_rdfs_subClassOf @ D @ uri_rdfs_Literal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(118,plain,
( ( iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(119,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(120,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(121,plain,
( ( iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(122,plain,
( ( iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(123,plain,
( ( iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(124,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(125,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(126,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(127,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(128,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(129,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(130,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(131,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(132,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(133,plain,
( ( ! [P: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ P )
=> ( iext @ uri_rdfs_subPropertyOf @ P @ uri_rdfs_member ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(134,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(135,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(136,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(137,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(138,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(139,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(140,plain,
( ( ! [C: $i] :
( ( ic @ C )
=> ( iext @ uri_rdfs_subClassOf @ C @ uri_rdfs_Resource ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(141,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(142,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(143,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(144,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(145,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(146,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(147,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(148,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(149,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(150,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(151,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(152,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(153,plain,
( ( ! [P: $i] :
( ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
<=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(154,plain,
( ( iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(155,plain,
( ( iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(156,plain,
( ( iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(157,plain,
( ( iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(158,plain,
( ( iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(159,plain,
( ( iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(160,plain,
( ( iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(161,plain,
( ( iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(162,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(163,plain,
( ( ! [X: $i] :
( ( lv @ X )
=> ( ir @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(164,plain,
( ( ! [X: $i] : ( ir @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(165,plain,
( ( ! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(166,plain,
( ( ~ ? [BNODE_x: $i] : ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
= $true ),
inference(polarity_switch,[status(thm)],[84]) ).
thf(167,plain,
( ( ! [BNODE_x: $i] :
~ ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
= $true ),
inference(extcnf_combined,[status(esa)],[166]) ).
thf(168,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ~ ( iext @ uri_rdfs_subPropertyOf @ Q @ R )
| ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(169,plain,
( ( ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdfs_subPropertyOf @ P @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(170,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P @ X @ Y )
| ( iext @ Q @ X @ Y ) ) )
& ! [P: $i] :
( ! [Q: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ( ip @ P ) )
& ! [P: $i,Q: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ( ip @ Q ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(171,plain,
( ( ! [C: $i,D: $i,E: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ~ ( iext @ uri_rdfs_subClassOf @ D @ E )
| ( iext @ uri_rdfs_subClassOf @ C @ E ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[95]) ).
thf(172,plain,
( ( ! [C: $i] :
( ~ ( ic @ C )
| ( iext @ uri_rdfs_subClassOf @ C @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[96]) ).
thf(173,plain,
( ( ! [C: $i,D: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ! [X: $i] :
( ~ ( icext @ C @ X )
| ( icext @ D @ X ) ) )
& ! [C: $i] :
( ! [D: $i] :
~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ( ic @ C ) )
& ! [C: $i,D: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ( ic @ D ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(174,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext @ uri_rdfs_range @ P @ C )
| ~ ( iext @ P @ X @ Y )
| ( icext @ C @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[107]) ).
thf(175,plain,
( ( ! [X: $i] :
( ~ ( icext @ uri_rdfs_Literal @ X )
| ( lv @ X ) )
& ! [X: $i] :
( ~ ( lv @ X )
| ( icext @ uri_rdfs_Literal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[110]) ).
thf(176,plain,
( ( ! [X: $i] :
( ~ ( icext @ uri_rdfs_Resource @ X )
| ( ir @ X ) )
& ! [X: $i] :
( ~ ( ir @ X )
| ( icext @ uri_rdfs_Resource @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[111]) ).
thf(177,plain,
( ( ! [X: $i] :
( ~ ( ic @ X )
| ( icext @ uri_rdfs_Class @ X ) )
& ! [X: $i] :
( ~ ( icext @ uri_rdfs_Class @ X )
| ( ic @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[112]) ).
thf(178,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(179,plain,
( ( ! [D: $i] :
( ~ ( icext @ uri_rdfs_Datatype @ D )
| ( iext @ uri_rdfs_subClassOf @ D @ uri_rdfs_Literal ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[117]) ).
thf(180,plain,
( ( ! [P: $i] :
( ~ ( icext @ uri_rdfs_ContainerMembershipProperty @ P )
| ( iext @ uri_rdfs_subPropertyOf @ P @ uri_rdfs_member ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[133]) ).
thf(181,plain,
( ( ! [C: $i] :
( ~ ( ic @ C )
| ( iext @ uri_rdfs_subClassOf @ C @ uri_rdfs_Resource ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[140]) ).
thf(182,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[141]) ).
thf(183,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[153]) ).
thf(184,plain,
( ( ! [X: $i] :
( ~ ( lv @ X )
| ( ir @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(185,plain,
( ( ! [S: $i,P: $i] :
( ! [O: $i] :
~ ( iext @ P @ S @ O )
| ( ip @ P ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[165]) ).
thf(186,plain,
( ( ! [S: $i,P: $i] :
( ! [O: $i] :
~ ( iext @ P @ S @ O )
| ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(187,plain,
( ( ! [X: $i] : ( ir @ X ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(188,plain,
( ( ! [X: $i] :
( ~ ( lv @ X )
| ( ir @ X ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(189,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(190,plain,
( ( iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(191,plain,
( ( iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(192,plain,
( ( iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(193,plain,
( ( iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(194,plain,
( ( iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(195,plain,
( ( iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(196,plain,
( ( iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(197,plain,
( ( iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(198,plain,
( ( ! [P: $i] :
( ~ ( iext @ uri_rdf_type @ P @ uri_rdf_Property )
| ( ip @ P ) )
& ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdf_type @ P @ uri_rdf_Property ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(199,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(200,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(201,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(202,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(203,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(204,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(205,plain,
( ( iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(206,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(207,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(208,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(209,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(210,plain,
( ( ! [X: $i,C: $i] :
( ~ ( icext @ C @ X )
| ( iext @ uri_rdf_type @ X @ C ) )
& ! [X: $i,C: $i] :
( ~ ( iext @ uri_rdf_type @ X @ C )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(211,plain,
( ( ! [C: $i] :
( ~ ( ic @ C )
| ( iext @ uri_rdfs_subClassOf @ C @ uri_rdfs_Resource ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(212,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(213,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(214,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(215,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(216,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(217,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(218,plain,
( ( ! [P: $i] :
( ~ ( icext @ uri_rdfs_ContainerMembershipProperty @ P )
| ( iext @ uri_rdfs_subPropertyOf @ P @ uri_rdfs_member ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(219,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(220,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(221,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(222,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(223,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(224,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(225,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(226,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(227,plain,
( ( iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(228,plain,
( ( iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(229,plain,
( ( iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(230,plain,
( ( iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(231,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(232,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(233,plain,
( ( iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(234,plain,
( ( ! [D: $i] :
( ~ ( icext @ uri_rdfs_Datatype @ D )
| ( iext @ uri_rdfs_subClassOf @ D @ uri_rdfs_Literal ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(235,plain,
( ( iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(236,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(237,plain,
( ( ! [P: $i,C: $i,X: $i] :
( ~ ( iext @ uri_rdfs_domain @ P @ C )
| ! [Y: $i] :
~ ( iext @ P @ X @ Y )
| ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(238,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(239,plain,
( ( ! [X: $i] :
( ~ ( ic @ X )
| ( icext @ uri_rdfs_Class @ X ) )
& ! [X: $i] :
( ~ ( icext @ uri_rdfs_Class @ X )
| ( ic @ X ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(240,plain,
( ( ! [X: $i] :
( ~ ( icext @ uri_rdfs_Resource @ X )
| ( ir @ X ) )
& ! [X: $i] :
( ~ ( ir @ X )
| ( icext @ uri_rdfs_Resource @ X ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(241,plain,
( ( ! [X: $i] :
( ~ ( icext @ uri_rdfs_Literal @ X )
| ( lv @ X ) )
& ! [X: $i] :
( ~ ( lv @ X )
| ( icext @ uri_rdfs_Literal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(242,plain,
( ( iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(243,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(244,plain,
( ( ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext @ uri_rdfs_range @ P @ C )
| ~ ( iext @ P @ X @ Y )
| ( icext @ C @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(245,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(246,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(247,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(248,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(249,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(250,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(251,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(252,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(253,plain,
( ( ! [C: $i,D: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ! [X: $i] :
( ~ ( icext @ C @ X )
| ( icext @ D @ X ) ) )
& ! [C: $i] :
( ! [D: $i] :
~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ( ic @ C ) )
& ! [C: $i,D: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ( ic @ D ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(254,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(255,plain,
( ( ! [C: $i] :
( ~ ( ic @ C )
| ( iext @ uri_rdfs_subClassOf @ C @ C ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(256,plain,
( ( ! [C: $i,D: $i,E: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ C @ D )
| ~ ( iext @ uri_rdfs_subClassOf @ D @ E )
| ( iext @ uri_rdfs_subClassOf @ C @ E ) ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(257,plain,
( ( iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(258,plain,
( ( ! [P: $i,Q: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ! [X: $i,Y: $i] :
( ~ ( iext @ P @ X @ Y )
| ( iext @ Q @ X @ Y ) ) )
& ! [P: $i] :
( ! [Q: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ( ip @ P ) )
& ! [P: $i,Q: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ( ip @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(259,plain,
( ( iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(260,plain,
( ( ! [P: $i] :
( ~ ( ip @ P )
| ( iext @ uri_rdfs_subPropertyOf @ P @ P ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(261,plain,
( ( ! [P: $i,Q: $i,R: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
| ~ ( iext @ uri_rdfs_subPropertyOf @ Q @ R )
| ( iext @ uri_rdfs_subPropertyOf @ P @ R ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(262,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(263,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(264,plain,
( ( iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(265,plain,
( ( iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(266,plain,
( ( iext @ uri_ex_p @ uri_ex_s @ ( literal_plain @ dat_str_foo ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(267,plain,
( ( ! [BNODE_x: $i] :
~ ( iext @ uri_ex_p @ uri_ex_s @ BNODE_x ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(268,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(269,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(270,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ic @ SX0 )
| ( icext @ uri_rdfs_Class @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Class @ SX0 )
| ( ic @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(271,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(272,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Resource @ SX0 )
| ( ir @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ir @ SX0 )
| ( icext @ uri_rdfs_Resource @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(273,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(274,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Literal @ SX0 )
| ( lv @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( lv @ SX0 )
| ( icext @ uri_rdfs_Literal @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(275,plain,
! [SV1: $i] :
( ( ! [SY38: $i] :
( ! [SY39: $i] :
~ ( iext @ SY38 @ SV1 @ SY39 )
| ( ip @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(276,plain,
! [SV2: $i] :
( ( ir @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(277,plain,
! [SV3: $i] :
( ( ~ ( lv @ SV3 )
| ( ir @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(278,plain,
! [SV4: $i] :
( ( ~ ( ic @ SV4 )
| ( iext @ uri_rdfs_subClassOf @ SV4 @ uri_rdfs_Resource ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(279,plain,
! [SV5: $i] :
( ( ~ ( icext @ uri_rdfs_ContainerMembershipProperty @ SV5 )
| ( iext @ uri_rdfs_subPropertyOf @ SV5 @ uri_rdfs_member ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(280,plain,
! [SV6: $i] :
( ( ~ ( icext @ uri_rdfs_Datatype @ SV6 )
| ( iext @ uri_rdfs_subClassOf @ SV6 @ uri_rdfs_Literal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(281,plain,
! [SV7: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV7 @ SY40 )
| ! [SY42: $i] :
~ ( iext @ SV7 @ SY41 @ SY42 )
| ( icext @ SY40 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(282,plain,
! [SV8: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ( iext @ uri_rdfs_range @ SV8 @ SY43 )
| ~ ( iext @ SV8 @ SY44 @ SY45 )
| ( icext @ SY43 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(283,plain,
! [SV9: $i] :
( ( ~ ( ic @ SV9 )
| ( iext @ uri_rdfs_subClassOf @ SV9 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(284,plain,
! [SV10: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV10 @ SY46 )
| ~ ( iext @ uri_rdfs_subClassOf @ SY46 @ SY47 )
| ( iext @ uri_rdfs_subClassOf @ SV10 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(285,plain,
! [SV11: $i] :
( ( ~ ( ip @ SV11 )
| ( iext @ uri_rdfs_subPropertyOf @ SV11 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(286,plain,
! [SV12: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SY48 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SY48 @ SY49 )
| ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(287,plain,
! [SV13: $i] :
( ( ~ ( iext @ uri_ex_p @ uri_ex_s @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(288,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(289,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(290,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ic @ SX0 )
| ( icext @ uri_rdfs_Class @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Class @ SX0 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(291,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(292,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Resource @ SX0 )
| ( ir @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( ir @ SX0 )
| ( icext @ uri_rdfs_Resource @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(293,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(294,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Literal @ SX0 )
| ( lv @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( lv @ SX0 )
| ( icext @ uri_rdfs_Literal @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(295,plain,
! [SV1: $i,SV14: $i] :
( ( ! [SY50: $i] :
~ ( iext @ SV14 @ SV1 @ SY50 )
| ( ip @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(296,plain,
! [SV3: $i] :
( ( ( ~ ( lv @ SV3 ) )
= $true )
| ( ( ir @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(297,plain,
! [SV4: $i] :
( ( ( ~ ( ic @ SV4 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ uri_rdfs_Resource )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(298,plain,
! [SV5: $i] :
( ( ( ~ ( icext @ uri_rdfs_ContainerMembershipProperty @ SV5 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV5 @ uri_rdfs_member )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(299,plain,
! [SV6: $i] :
( ( ( ~ ( icext @ uri_rdfs_Datatype @ SV6 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV6 @ uri_rdfs_Literal )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(300,plain,
! [SV15: $i,SV7: $i] :
( ( ! [SY51: $i] :
( ~ ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
| ! [SY42: $i] :
~ ( iext @ SV7 @ SY51 @ SY42 )
| ( icext @ SV15 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(301,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY53: $i,SY54: $i] :
( ~ ( iext @ uri_rdfs_range @ SV8 @ SV16 )
| ~ ( iext @ SV8 @ SY53 @ SY54 )
| ( icext @ SV16 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(302,plain,
! [SV9: $i] :
( ( ( ~ ( ic @ SV9 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(303,plain,
! [SV17: $i,SV10: $i] :
( ( ! [SY55: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV17 @ SY55 )
| ( iext @ uri_rdfs_subClassOf @ SV10 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(304,plain,
! [SV11: $i] :
( ( ( ~ ( ip @ SV11 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV11 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(305,plain,
! [SV18: $i,SV12: $i] :
( ( ! [SY56: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SY56 )
| ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(306,plain,
! [SV13: $i] :
( ( iext @ uri_ex_p @ uri_ex_s @ SV13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(307,plain,
( ( ~ ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(308,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(309,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(310,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ic @ SX0 )
| ( icext @ uri_rdfs_Class @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(312,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Class @ SX0 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(313,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(314,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(315,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Resource @ SX0 )
| ( ir @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(316,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ir @ SX0 )
| ( icext @ uri_rdfs_Resource @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[292]) ).
thf(317,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(318,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(319,plain,
( ( ~ ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Literal @ SX0 )
| ( lv @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(320,plain,
( ( ~ ! [SX0: $i] :
( ~ ( lv @ SX0 )
| ( icext @ uri_rdfs_Literal @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(321,plain,
! [SV1: $i,SV14: $i] :
( ( ( ! [SY50: $i] :
~ ( iext @ SV14 @ SV1 @ SY50 ) )
= $true )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(322,plain,
! [SV3: $i] :
( ( ( lv @ SV3 )
= $false )
| ( ( ir @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(323,plain,
! [SV4: $i] :
( ( ( ic @ SV4 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV4 @ uri_rdfs_Resource )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(324,plain,
! [SV5: $i] :
( ( ( icext @ uri_rdfs_ContainerMembershipProperty @ SV5 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV5 @ uri_rdfs_member )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(325,plain,
! [SV6: $i] :
( ( ( icext @ uri_rdfs_Datatype @ SV6 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV6 @ uri_rdfs_Literal )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(326,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ~ ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
| ! [SY57: $i] :
~ ( iext @ SV7 @ SV19 @ SY57 )
| ( icext @ SV15 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(327,plain,
! [SV20: $i,SV16: $i,SV8: $i] :
( ( ! [SY58: $i] :
( ~ ( iext @ uri_rdfs_range @ SV8 @ SV16 )
| ~ ( iext @ SV8 @ SV20 @ SY58 )
| ( icext @ SV16 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(328,plain,
! [SV9: $i] :
( ( ( ic @ SV9 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV9 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(329,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV17 @ SV21 )
| ( iext @ uri_rdfs_subClassOf @ SV10 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(330,plain,
! [SV11: $i] :
( ( ( ip @ SV11 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV11 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(331,plain,
! [SV22: $i,SV18: $i,SV12: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SV22 )
| ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(332,plain,
( ( ! [SX0: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(333,plain,
( ( ! [SX0: $i] :
( ~ ( ip @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ uri_rdf_Property ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(334,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ! [SX2: $i,SX3: $i] :
( ~ ( iext @ SX0 @ SX2 @ SX3 )
| ( iext @ SX1 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(335,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(336,plain,
( ( ! [SX0: $i] :
( ~ ( ic @ SX0 )
| ( icext @ uri_rdfs_Class @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(337,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Class @ SX0 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(338,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( icext @ SX0 @ SX2 )
| ( icext @ SX1 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(339,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(340,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Resource @ SX0 )
| ( ir @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(341,plain,
( ( ! [SX0: $i] :
( ~ ( ir @ SX0 )
| ( icext @ uri_rdfs_Resource @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(342,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(343,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(344,plain,
( ( ! [SX0: $i] :
( ~ ( icext @ uri_rdfs_Literal @ SX0 )
| ( lv @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(345,plain,
( ( ! [SX0: $i] :
( ~ ( lv @ SX0 )
| ( icext @ uri_rdfs_Literal @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(346,plain,
! [SV23: $i,SV1: $i,SV14: $i] :
( ( ( ~ ( iext @ SV14 @ SV1 @ SV23 ) )
= $true )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(347,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
| ! [SY57: $i] :
~ ( iext @ SV7 @ SV19 @ SY57 ) )
= $true )
| ( ( icext @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(348,plain,
! [SV24: $i,SV20: $i,SV16: $i,SV8: $i] :
( ( ~ ( iext @ uri_rdfs_range @ SV8 @ SV16 )
| ~ ( iext @ SV8 @ SV20 @ SV24 )
| ( icext @ SV16 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(349,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV17 @ SV21 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(350,plain,
! [SV22: $i,SV18: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SV22 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(351,plain,
! [SV25: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV25 @ uri_rdf_Property )
| ( ip @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(352,plain,
! [SV26: $i] :
( ( ~ ( ip @ SV26 )
| ( iext @ uri_rdf_type @ SV26 @ uri_rdf_Property ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(353,plain,
! [SV27: $i] :
( ( ! [SY59: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SY59 )
| ! [SY60: $i,SY61: $i] :
( ~ ( iext @ SV27 @ SY60 @ SY61 )
| ( iext @ SY59 @ SY60 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(354,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(355,plain,
! [SV28: $i] :
( ( ~ ( ic @ SV28 )
| ( icext @ uri_rdfs_Class @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(356,plain,
! [SV29: $i] :
( ( ~ ( icext @ uri_rdfs_Class @ SV29 )
| ( ic @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(357,plain,
! [SV30: $i] :
( ( ! [SY62: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV30 @ SY62 )
| ! [SY63: $i] :
( ~ ( icext @ SV30 @ SY63 )
| ( icext @ SY62 @ SY63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(358,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(359,plain,
! [SV31: $i] :
( ( ~ ( icext @ uri_rdfs_Resource @ SV31 )
| ( ir @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(360,plain,
! [SV32: $i] :
( ( ~ ( ir @ SV32 )
| ( icext @ uri_rdfs_Resource @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(361,plain,
! [SV33: $i] :
( ( ! [SY64: $i] :
( ~ ( icext @ SY64 @ SV33 )
| ( iext @ uri_rdf_type @ SV33 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(362,plain,
! [SV34: $i] :
( ( ! [SY65: $i] :
( ~ ( iext @ uri_rdf_type @ SV34 @ SY65 )
| ( icext @ SY65 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(363,plain,
! [SV35: $i] :
( ( ~ ( icext @ uri_rdfs_Literal @ SV35 )
| ( lv @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(364,plain,
! [SV36: $i] :
( ( ~ ( lv @ SV36 )
| ( icext @ uri_rdfs_Literal @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(365,plain,
! [SV23: $i,SV1: $i,SV14: $i] :
( ( ( iext @ SV14 @ SV1 @ SV23 )
= $false )
| ( ( ip @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(366,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdfs_domain @ SV7 @ SV15 ) )
= $true )
| ( ( ! [SY57: $i] :
~ ( iext @ SV7 @ SV19 @ SY57 ) )
= $true )
| ( ( icext @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(367,plain,
! [SV24: $i,SV20: $i,SV16: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_rdfs_range @ SV8 @ SV16 )
| ~ ( iext @ SV8 @ SV20 @ SV24 ) )
= $true )
| ( ( icext @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(368,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV17 @ SV21 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(369,plain,
! [SV22: $i,SV18: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SV22 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(370,plain,
! [SV25: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV25 @ uri_rdf_Property ) )
= $true )
| ( ( ip @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(371,plain,
! [SV26: $i] :
( ( ( ~ ( ip @ SV26 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV26 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(372,plain,
! [SV37: $i,SV27: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
| ! [SY66: $i,SY67: $i] :
( ~ ( iext @ SV27 @ SY66 @ SY67 )
| ( iext @ SV37 @ SY66 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(373,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(374,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(375,plain,
! [SV28: $i] :
( ( ( ~ ( ic @ SV28 ) )
= $true )
| ( ( icext @ uri_rdfs_Class @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(376,plain,
! [SV29: $i] :
( ( ( ~ ( icext @ uri_rdfs_Class @ SV29 ) )
= $true )
| ( ( ic @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(377,plain,
! [SV38: $i,SV30: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 )
| ! [SY68: $i] :
( ~ ( icext @ SV30 @ SY68 )
| ( icext @ SV38 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(378,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(379,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(380,plain,
! [SV31: $i] :
( ( ( ~ ( icext @ uri_rdfs_Resource @ SV31 ) )
= $true )
| ( ( ir @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(381,plain,
! [SV32: $i] :
( ( ( ~ ( ir @ SV32 ) )
= $true )
| ( ( icext @ uri_rdfs_Resource @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(382,plain,
! [SV33: $i,SV39: $i] :
( ( ~ ( icext @ SV39 @ SV33 )
| ( iext @ uri_rdf_type @ SV33 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(383,plain,
! [SV40: $i,SV34: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV34 @ SV40 )
| ( icext @ SV40 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(384,plain,
! [SV35: $i] :
( ( ( ~ ( icext @ uri_rdfs_Literal @ SV35 ) )
= $true )
| ( ( lv @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(385,plain,
! [SV36: $i] :
( ( ( ~ ( lv @ SV36 ) )
= $true )
| ( ( icext @ uri_rdfs_Literal @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(386,plain,
! [SV19: $i,SV15: $i,SV7: $i] :
( ( ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
= $false )
| ( ( ! [SY57: $i] :
~ ( iext @ SV7 @ SV19 @ SY57 ) )
= $true )
| ( ( icext @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(387,plain,
! [SV24: $i,SV20: $i,SV16: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_rdfs_range @ SV8 @ SV16 ) )
= $true )
| ( ( ~ ( iext @ SV8 @ SV20 @ SV24 ) )
= $true )
| ( ( icext @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(388,plain,
! [SV21: $i,SV17: $i,SV10: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV17 @ SV21 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(389,plain,
! [SV22: $i,SV18: $i,SV12: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SV22 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(390,plain,
! [SV25: $i] :
( ( ( iext @ uri_rdf_type @ SV25 @ uri_rdf_Property )
= $false )
| ( ( ip @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(391,plain,
! [SV26: $i] :
( ( ( ip @ SV26 )
= $false )
| ( ( iext @ uri_rdf_type @ SV26 @ uri_rdf_Property )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(392,plain,
! [SV37: $i,SV27: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 ) )
= $true )
| ( ( ! [SY66: $i,SY67: $i] :
( ~ ( iext @ SV27 @ SY66 @ SY67 )
| ( iext @ SV37 @ SY66 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(393,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(394,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ( ip @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(395,plain,
! [SV28: $i] :
( ( ( ic @ SV28 )
= $false )
| ( ( icext @ uri_rdfs_Class @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(396,plain,
! [SV29: $i] :
( ( ( icext @ uri_rdfs_Class @ SV29 )
= $false )
| ( ( ic @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(397,plain,
! [SV38: $i,SV30: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 ) )
= $true )
| ( ( ! [SY68: $i] :
( ~ ( icext @ SV30 @ SY68 )
| ( icext @ SV38 @ SY68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(398,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(399,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ( ic @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(400,plain,
! [SV31: $i] :
( ( ( icext @ uri_rdfs_Resource @ SV31 )
= $false )
| ( ( ir @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(401,plain,
! [SV32: $i] :
( ( ( ir @ SV32 )
= $false )
| ( ( icext @ uri_rdfs_Resource @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(402,plain,
! [SV33: $i,SV39: $i] :
( ( ( ~ ( icext @ SV39 @ SV33 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV33 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(403,plain,
! [SV40: $i,SV34: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV34 @ SV40 ) )
= $true )
| ( ( icext @ SV40 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(404,plain,
! [SV35: $i] :
( ( ( icext @ uri_rdfs_Literal @ SV35 )
= $false )
| ( ( lv @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(405,plain,
! [SV36: $i] :
( ( ( lv @ SV36 )
= $false )
| ( ( icext @ uri_rdfs_Literal @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(406,plain,
! [SV15: $i,SV41: $i,SV19: $i,SV7: $i] :
( ( ( ~ ( iext @ SV7 @ SV19 @ SV41 ) )
= $true )
| ( ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
= $false )
| ( ( icext @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(407,plain,
! [SV24: $i,SV20: $i,SV16: $i,SV8: $i] :
( ( ( iext @ uri_rdfs_range @ SV8 @ SV16 )
= $false )
| ( ( ~ ( iext @ SV8 @ SV20 @ SV24 ) )
= $true )
| ( ( icext @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(408,plain,
! [SV10: $i,SV21: $i,SV17: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV17 @ SV21 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV17 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(409,plain,
! [SV12: $i,SV22: $i,SV18: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV18 @ SV22 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV18 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV12 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(410,plain,
! [SV37: $i,SV27: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
= $false )
| ( ( ! [SY66: $i,SY67: $i] :
( ~ ( iext @ SV27 @ SY66 @ SY67 )
| ( iext @ SV37 @ SY66 @ SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV42: $i] :
( ( ! [SY69: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SV42 @ SY69 )
| ( ip @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(412,plain,
! [SV43: $i] :
( ( ! [SY70: $i] :
( ~ ( iext @ uri_rdfs_subPropertyOf @ SV43 @ SY70 )
| ( ip @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(413,plain,
! [SV38: $i,SV30: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 )
= $false )
| ( ( ! [SY68: $i] :
( ~ ( icext @ SV30 @ SY68 )
| ( icext @ SV38 @ SY68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(414,plain,
! [SV44: $i] :
( ( ! [SY71: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SV44 @ SY71 )
| ( ic @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(415,plain,
! [SV45: $i] :
( ( ! [SY72: $i] :
( ~ ( iext @ uri_rdfs_subClassOf @ SV45 @ SY72 )
| ( ic @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(416,plain,
! [SV33: $i,SV39: $i] :
( ( ( icext @ SV39 @ SV33 )
= $false )
| ( ( iext @ uri_rdf_type @ SV33 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(417,plain,
! [SV40: $i,SV34: $i] :
( ( ( iext @ uri_rdf_type @ SV34 @ SV40 )
= $false )
| ( ( icext @ SV40 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(418,plain,
! [SV15: $i,SV41: $i,SV19: $i,SV7: $i] :
( ( ( iext @ SV7 @ SV19 @ SV41 )
= $false )
| ( ( iext @ uri_rdfs_domain @ SV7 @ SV15 )
= $false )
| ( ( icext @ SV15 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(419,plain,
! [SV16: $i,SV24: $i,SV20: $i,SV8: $i] :
( ( ( iext @ SV8 @ SV20 @ SV24 )
= $false )
| ( ( iext @ uri_rdfs_range @ SV8 @ SV16 )
= $false )
| ( ( icext @ SV16 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(420,plain,
! [SV37: $i,SV46: $i,SV27: $i] :
( ( ( ! [SY73: $i] :
( ~ ( iext @ SV27 @ SV46 @ SY73 )
| ( iext @ SV37 @ SV46 @ SY73 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(421,plain,
! [SV42: $i] :
( ( ( ! [SY69: $i] :
~ ( iext @ uri_rdfs_subPropertyOf @ SV42 @ SY69 ) )
= $true )
| ( ( ip @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(422,plain,
! [SV47: $i,SV43: $i] :
( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV43 @ SV47 )
| ( ip @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(423,plain,
! [SV38: $i,SV48: $i,SV30: $i] :
( ( ( ~ ( icext @ SV30 @ SV48 )
| ( icext @ SV38 @ SV48 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(424,plain,
! [SV44: $i] :
( ( ( ! [SY71: $i] :
~ ( iext @ uri_rdfs_subClassOf @ SV44 @ SY71 ) )
= $true )
| ( ( ic @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(425,plain,
! [SV49: $i,SV45: $i] :
( ( ~ ( iext @ uri_rdfs_subClassOf @ SV45 @ SV49 )
| ( ic @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(426,plain,
! [SV37: $i,SV50: $i,SV46: $i,SV27: $i] :
( ( ( ~ ( iext @ SV27 @ SV46 @ SV50 )
| ( iext @ SV37 @ SV46 @ SV50 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(427,plain,
! [SV51: $i,SV42: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV42 @ SV51 ) )
= $true )
| ( ( ip @ SV42 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(428,plain,
! [SV47: $i,SV43: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV43 @ SV47 ) )
= $true )
| ( ( ip @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(429,plain,
! [SV38: $i,SV48: $i,SV30: $i] :
( ( ( ~ ( icext @ SV30 @ SV48 ) )
= $true )
| ( ( icext @ SV38 @ SV48 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(430,plain,
! [SV52: $i,SV44: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV44 @ SV52 ) )
= $true )
| ( ( ic @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(431,plain,
! [SV49: $i,SV45: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV45 @ SV49 ) )
= $true )
| ( ( ic @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(432,plain,
! [SV37: $i,SV50: $i,SV46: $i,SV27: $i] :
( ( ( ~ ( iext @ SV27 @ SV46 @ SV50 ) )
= $true )
| ( ( iext @ SV37 @ SV46 @ SV50 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(433,plain,
! [SV51: $i,SV42: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV42 @ SV51 )
= $false )
| ( ( ip @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(434,plain,
! [SV47: $i,SV43: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV43 @ SV47 )
= $false )
| ( ( ip @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(435,plain,
! [SV38: $i,SV48: $i,SV30: $i] :
( ( ( icext @ SV30 @ SV48 )
= $false )
| ( ( icext @ SV38 @ SV48 )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV30 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(436,plain,
! [SV52: $i,SV44: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV44 @ SV52 )
= $false )
| ( ( ic @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(437,plain,
! [SV49: $i,SV45: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV45 @ SV49 )
= $false )
| ( ( ic @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(438,plain,
! [SV37: $i,SV50: $i,SV46: $i,SV27: $i] :
( ( ( iext @ SV27 @ SV46 @ SV50 )
= $false )
| ( ( iext @ SV37 @ SV46 @ SV50 )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV27 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(439,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[189,438,437,436,435,434,433,419,418,417,416,409,408,405,404,401,400,396,395,391,390,365,330,328,325,324,323,322,306,276,266,265,264,263,262,259,257,254,252,251,250,249,248,247,246,245,243,242,238,236,235,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,217,216,215,214,213,212,209,208,207,206,205,204,203,202,201,200,199,197,196,195,194,193,192,191,190]) ).
thf(440,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB003+4 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 07:52:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.38
% 0.21/0.38 No.of.Axioms: 81
% 0.21/0.38
% 0.21/0.38 Length.of.Defs: 0
% 0.21/0.38
% 0.21/0.38 Contains.Choice.Funs: false
% 0.21/0.38 .
% 0.21/0.39 (rf:0,axioms:81,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:83,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.21/0.52
% 0.21/0.52 ********************************
% 0.21/0.52 * All subproblems solved! *
% 0.21/0.52 ********************************
% 0.21/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:81,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:439,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.39/0.56
% 0.39/0.56 %**** Beginning of derivation protocol ****
% 0.39/0.56 % SZS output start CNFRefutation
% See solution above
% 0.39/0.57
% 0.39/0.57 %**** End of derivation protocol ****
% 0.39/0.57 %**** no. of clauses in derivation: 440 ****
% 0.39/0.57 %**** clause counter: 439 ****
% 0.39/0.57
% 0.39/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:81,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:439,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------