%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:50:56 AM UTC 2026
% Result : Theorem 2.97s 0.78s
% Output : CNFRefutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 23
% Syntax : Number of formulae : 425 ( 204 unt; 0 typ; 0 def)
% Number of atoms : 5291 (1754 equ; 0 cnn)
% Maximal formula atoms : 11 ( 12 avg)
% Number of connectives : 12701 (4064 ~;1993 |; 158 &;6453 @)
% ( 9 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 182 ( 179 usr; 166 con; 0-6 aty)
% Number of variables : 1577 ( 0 ^;1536 !; 41 ?;1577 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_dat_str_0,type,
dat_str_0: $i ).
thf(tp_dat_str_1,type,
dat_str_1: $i ).
thf(tp_dat_str_2,type,
dat_str_2: $i ).
thf(tp_dat_str_3,type,
dat_str_3: $i ).
thf(tp_ic,type,
ic: $i > $o ).
thf(tp_icext,type,
icext: $i > $i > $o ).
thf(tp_idc,type,
idc: $i > $o ).
thf(tp_iext,type,
iext: $i > $i > $i > $o ).
thf(tp_ioap,type,
ioap: $i > $o ).
thf(tp_iodp,type,
iodp: $i > $o ).
thf(tp_ioxp,type,
ioxp: $i > $o ).
thf(tp_ip,type,
ip: $i > $o ).
thf(tp_ir,type,
ir: $i > $o ).
thf(tp_ix,type,
ix: $i > $o ).
thf(tp_literal_typed,type,
literal_typed: $i > $i > $i ).
thf(tp_lv,type,
lv: $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY88,type,
sK3_SY88: $i ).
thf(tp_sK4_SY132,type,
sK4_SY132: $i ).
thf(tp_sK5_SY65,type,
sK5_SY65: $i > $i > $i ).
thf(tp_sK6_SY79,type,
sK6_SY79: $i > $i > $i > $i > $i ).
thf(tp_sK7_SY75,type,
sK7_SY75: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_tautology,type,
tautology: $o ).
thf(tp_uri_ex_w1,type,
uri_ex_w1: $i ).
thf(tp_uri_ex_w2,type,
uri_ex_w2: $i ).
thf(tp_uri_ex_w3,type,
uri_ex_w3: $i ).
thf(tp_uri_owl_AllDifferent,type,
uri_owl_AllDifferent: $i ).
thf(tp_uri_owl_AllDisjointClasses,type,
uri_owl_AllDisjointClasses: $i ).
thf(tp_uri_owl_AllDisjointProperties,type,
uri_owl_AllDisjointProperties: $i ).
thf(tp_uri_owl_Annotation,type,
uri_owl_Annotation: $i ).
thf(tp_uri_owl_AnnotationProperty,type,
uri_owl_AnnotationProperty: $i ).
thf(tp_uri_owl_AsymmetricProperty,type,
uri_owl_AsymmetricProperty: $i ).
thf(tp_uri_owl_Axiom,type,
uri_owl_Axiom: $i ).
thf(tp_uri_owl_Class,type,
uri_owl_Class: $i ).
thf(tp_uri_owl_DataRange,type,
uri_owl_DataRange: $i ).
thf(tp_uri_owl_DatatypeProperty,type,
uri_owl_DatatypeProperty: $i ).
thf(tp_uri_owl_DeprecatedClass,type,
uri_owl_DeprecatedClass: $i ).
thf(tp_uri_owl_DeprecatedProperty,type,
uri_owl_DeprecatedProperty: $i ).
thf(tp_uri_owl_FunctionalProperty,type,
uri_owl_FunctionalProperty: $i ).
thf(tp_uri_owl_InverseFunctionalProperty,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(tp_uri_owl_IrreflexiveProperty,type,
uri_owl_IrreflexiveProperty: $i ).
thf(tp_uri_owl_IrreflexiveReflexiveProperty,type,
uri_owl_IrreflexiveReflexiveProperty: $i ).
thf(tp_uri_owl_NamedIndividual,type,
uri_owl_NamedIndividual: $i ).
thf(tp_uri_owl_NegativePropertyAssertion,type,
uri_owl_NegativePropertyAssertion: $i ).
thf(tp_uri_owl_Nothing,type,
uri_owl_Nothing: $i ).
thf(tp_uri_owl_ObjectProperty,type,
uri_owl_ObjectProperty: $i ).
thf(tp_uri_owl_Ontology,type,
uri_owl_Ontology: $i ).
thf(tp_uri_owl_OntologyProperty,type,
uri_owl_OntologyProperty: $i ).
thf(tp_uri_owl_ReflexiveProperty,type,
uri_owl_ReflexiveProperty: $i ).
thf(tp_uri_owl_Restriction,type,
uri_owl_Restriction: $i ).
thf(tp_uri_owl_SymmetricProperty,type,
uri_owl_SymmetricProperty: $i ).
thf(tp_uri_owl_Thing,type,
uri_owl_Thing: $i ).
thf(tp_uri_owl_TransitiveProperty,type,
uri_owl_TransitiveProperty: $i ).
thf(tp_uri_owl_allValuesFrom,type,
uri_owl_allValuesFrom: $i ).
thf(tp_uri_owl_annotatedProperty,type,
uri_owl_annotatedProperty: $i ).
thf(tp_uri_owl_annotatedSource,type,
uri_owl_annotatedSource: $i ).
thf(tp_uri_owl_annotatedTarget,type,
uri_owl_annotatedTarget: $i ).
thf(tp_uri_owl_assertionProperty,type,
uri_owl_assertionProperty: $i ).
thf(tp_uri_owl_backwardCompatibleWith,type,
uri_owl_backwardCompatibleWith: $i ).
thf(tp_uri_owl_bottomDataProperty,type,
uri_owl_bottomDataProperty: $i ).
thf(tp_uri_owl_bottomObjectProperty,type,
uri_owl_bottomObjectProperty: $i ).
thf(tp_uri_owl_cardinality,type,
uri_owl_cardinality: $i ).
thf(tp_uri_owl_complementOf,type,
uri_owl_complementOf: $i ).
thf(tp_uri_owl_datatypeComplementOf,type,
uri_owl_datatypeComplementOf: $i ).
thf(tp_uri_owl_deprecated,type,
uri_owl_deprecated: $i ).
thf(tp_uri_owl_differentFrom,type,
uri_owl_differentFrom: $i ).
thf(tp_uri_owl_disjointUnionOf,type,
uri_owl_disjointUnionOf: $i ).
thf(tp_uri_owl_disjointWith,type,
uri_owl_disjointWith: $i ).
thf(tp_uri_owl_distinctMembers,type,
uri_owl_distinctMembers: $i ).
thf(tp_uri_owl_equivalentClass,type,
uri_owl_equivalentClass: $i ).
thf(tp_uri_owl_equivalentProperty,type,
uri_owl_equivalentProperty: $i ).
thf(tp_uri_owl_hasKey,type,
uri_owl_hasKey: $i ).
thf(tp_uri_owl_hasSelf,type,
uri_owl_hasSelf: $i ).
thf(tp_uri_owl_hasValue,type,
uri_owl_hasValue: $i ).
thf(tp_uri_owl_imports,type,
uri_owl_imports: $i ).
thf(tp_uri_owl_incompatibleWith,type,
uri_owl_incompatibleWith: $i ).
thf(tp_uri_owl_intersectionOf,type,
uri_owl_intersectionOf: $i ).
thf(tp_uri_owl_inverseOf,type,
uri_owl_inverseOf: $i ).
thf(tp_uri_owl_maxCardinality,type,
uri_owl_maxCardinality: $i ).
thf(tp_uri_owl_maxQualifiedCardinality,type,
uri_owl_maxQualifiedCardinality: $i ).
thf(tp_uri_owl_members,type,
uri_owl_members: $i ).
thf(tp_uri_owl_minCardinality,type,
uri_owl_minCardinality: $i ).
thf(tp_uri_owl_minQualifiedCardinality,type,
uri_owl_minQualifiedCardinality: $i ).
thf(tp_uri_owl_onClass,type,
uri_owl_onClass: $i ).
thf(tp_uri_owl_onDataRange,type,
uri_owl_onDataRange: $i ).
thf(tp_uri_owl_onDatatype,type,
uri_owl_onDatatype: $i ).
thf(tp_uri_owl_onProperty,type,
uri_owl_onProperty: $i ).
thf(tp_uri_owl_oneOf,type,
uri_owl_oneOf: $i ).
thf(tp_uri_owl_priorVersion,type,
uri_owl_priorVersion: $i ).
thf(tp_uri_owl_propertyChainAxiom,type,
uri_owl_propertyChainAxiom: $i ).
thf(tp_uri_owl_propertyDisjointWith,type,
uri_owl_propertyDisjointWith: $i ).
thf(tp_uri_owl_qualifiedCardinality,type,
uri_owl_qualifiedCardinality: $i ).
thf(tp_uri_owl_rational,type,
uri_owl_rational: $i ).
thf(tp_uri_owl_real,type,
uri_owl_real: $i ).
thf(tp_uri_owl_sameAs,type,
uri_owl_sameAs: $i ).
thf(tp_uri_owl_someValuesFrom,type,
uri_owl_someValuesFrom: $i ).
thf(tp_uri_owl_sourceIndividual,type,
uri_owl_sourceIndividual: $i ).
thf(tp_uri_owl_targetIndividual,type,
uri_owl_targetIndividual: $i ).
thf(tp_uri_owl_targetValue,type,
uri_owl_targetValue: $i ).
thf(tp_uri_owl_topDataProperty,type,
uri_owl_topDataProperty: $i ).
thf(tp_uri_owl_topObjectProperty,type,
uri_owl_topObjectProperty: $i ).
thf(tp_uri_owl_unionOf,type,
uri_owl_unionOf: $i ).
thf(tp_uri_owl_versionIRI,type,
uri_owl_versionIRI: $i ).
thf(tp_uri_owl_versionInfo,type,
uri_owl_versionInfo: $i ).
thf(tp_uri_owl_withRestrictions,type,
uri_owl_withRestrictions: $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_PlainLiteral,type,
uri_rdf_PlainLiteral: $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_langRange,type,
uri_rdf_langRange: $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(tp_uri_xml_nonNegativeInteger,type,
uri_xml_nonNegativeInteger: $i ).
thf(tp_uri_xsd_NCName,type,
uri_xsd_NCName: $i ).
thf(tp_uri_xsd_NMTOKEN,type,
uri_xsd_NMTOKEN: $i ).
thf(tp_uri_xsd_Name,type,
uri_xsd_Name: $i ).
thf(tp_uri_xsd_anyURI,type,
uri_xsd_anyURI: $i ).
thf(tp_uri_xsd_base64Binary,type,
uri_xsd_base64Binary: $i ).
thf(tp_uri_xsd_boolean,type,
uri_xsd_boolean: $i ).
thf(tp_uri_xsd_byte,type,
uri_xsd_byte: $i ).
thf(tp_uri_xsd_dateTime,type,
uri_xsd_dateTime: $i ).
thf(tp_uri_xsd_dateTimeStamp,type,
uri_xsd_dateTimeStamp: $i ).
thf(tp_uri_xsd_decimal,type,
uri_xsd_decimal: $i ).
thf(tp_uri_xsd_double,type,
uri_xsd_double: $i ).
thf(tp_uri_xsd_float,type,
uri_xsd_float: $i ).
thf(tp_uri_xsd_hexBinary,type,
uri_xsd_hexBinary: $i ).
thf(tp_uri_xsd_int,type,
uri_xsd_int: $i ).
thf(tp_uri_xsd_integer,type,
uri_xsd_integer: $i ).
thf(tp_uri_xsd_language,type,
uri_xsd_language: $i ).
thf(tp_uri_xsd_length,type,
uri_xsd_length: $i ).
thf(tp_uri_xsd_long,type,
uri_xsd_long: $i ).
thf(tp_uri_xsd_maxExclusive,type,
uri_xsd_maxExclusive: $i ).
thf(tp_uri_xsd_maxInclusive,type,
uri_xsd_maxInclusive: $i ).
thf(tp_uri_xsd_maxLength,type,
uri_xsd_maxLength: $i ).
thf(tp_uri_xsd_minExclusive,type,
uri_xsd_minExclusive: $i ).
thf(tp_uri_xsd_minInclusive,type,
uri_xsd_minInclusive: $i ).
thf(tp_uri_xsd_minLength,type,
uri_xsd_minLength: $i ).
thf(tp_uri_xsd_negativeInteger,type,
uri_xsd_negativeInteger: $i ).
thf(tp_uri_xsd_nonNegativeInteger,type,
uri_xsd_nonNegativeInteger: $i ).
thf(tp_uri_xsd_nonPositiveInteger,type,
uri_xsd_nonPositiveInteger: $i ).
thf(tp_uri_xsd_normalizedString,type,
uri_xsd_normalizedString: $i ).
thf(tp_uri_xsd_pattern,type,
uri_xsd_pattern: $i ).
thf(tp_uri_xsd_positiveInteger,type,
uri_xsd_positiveInteger: $i ).
thf(tp_uri_xsd_short,type,
uri_xsd_short: $i ).
thf(tp_uri_xsd_string,type,
uri_xsd_string: $i ).
thf(tp_uri_xsd_token,type,
uri_xsd_token: $i ).
thf(tp_uri_xsd_unsignedByte,type,
uri_xsd_unsignedByte: $i ).
thf(tp_uri_xsd_unsignedInt,type,
uri_xsd_unsignedInt: $i ).
thf(tp_uri_xsd_unsignedLong,type,
uri_xsd_unsignedLong: $i ).
thf(tp_uri_xsd_unsignedShort,type,
uri_xsd_unsignedShort: $i ).
thf(1,axiom,
? [X0: $i,X2: $i,X1: $i] :
( ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
& ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X0 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
& ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X2 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldifferent_bw) ).
thf(190,axiom,
! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_003) ).
thf(191,axiom,
! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( A1 != A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_002) ).
thf(194,axiom,
! [S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_003) ).
thf(195,axiom,
! [S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( A1 != A2 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_002) ).
thf(196,axiom,
! [S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_001) ).
thf(197,axiom,
? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_000) ).
thf(206,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(215,axiom,
! [X: $i,Y: $i] :
( ( iext @ uri_owl_differentFrom @ X @ Y )
<=> ( X != Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(330,axiom,
ip @ uri_owl_members,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_type) ).
thf(378,axiom,
! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_ext) ).
thf(380,axiom,
! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).
thf(454,axiom,
ic @ uri_owl_AllDifferent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_type) ).
thf(484,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/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(489,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/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(535,axiom,
! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(545,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_value_type) ).
thf(546,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_type) ).
thf(554,axiom,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(555,axiom,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(556,axiom,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(559,axiom,
! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
thf(560,conjecture,
? [X2: $i,X0: $i,X1: $i,X3: $i] :
( ( iext @ uri_rdf_first @ X0 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X0 @ X1 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X2 )
& ( iext @ uri_rdf_type @ X3 @ uri_owl_AllDifferent )
& ( iext @ uri_owl_members @ X3 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldifferent_bw) ).
thf(561,negated_conjecture,
( ( ? [X2: $i,X0: $i,X1: $i,X3: $i] :
( ( iext @ uri_rdf_first @ X0 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X0 @ X1 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X2 )
& ( iext @ uri_rdf_type @ X3 @ uri_owl_AllDifferent )
& ( iext @ uri_owl_members @ X3 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[560]) ).
thf(562,plain,
( ( ? [X2: $i,X0: $i,X1: $i,X3: $i] :
( ( iext @ uri_rdf_first @ X0 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X0 @ X1 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X2 )
& ( iext @ uri_rdf_type @ X3 @ uri_owl_AllDifferent )
& ( iext @ uri_owl_members @ X3 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil ) ) )
= $false ),
inference(unfold_def,[status(thm)],[561]) ).
thf(563,plain,
( ( ? [X0: $i,X2: $i,X1: $i] :
( ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
& ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X0 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
& ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X2 @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(564,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(565,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( A1 != A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(566,plain,
( ( ! [S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(567,plain,
( ( ! [S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( A1 != A2 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(568,plain,
( ( ! [S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(569,plain,
( ( ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(570,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(571,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_differentFrom @ X @ Y )
<=> ( X != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(572,plain,
( ( ip @ uri_owl_members )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(573,plain,
( ( ! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(574,plain,
( ( ! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ X @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(575,plain,
( ( ic @ uri_owl_AllDifferent )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(576,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)],[484]) ).
thf(577,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)],[489]) ).
thf(578,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(579,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(580,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(581,plain,
( ( iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[554]) ).
thf(582,plain,
( ( iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List )
= $true ),
inference(unfold_def,[status(thm)],[555]) ).
thf(583,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property )
= $true ),
inference(unfold_def,[status(thm)],[556]) ).
thf(584,plain,
( ( ! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(585,plain,
( ( ~ ? [X2: $i,X0: $i,X1: $i,X3: $i] :
( ( iext @ uri_rdf_first @ X0 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X0 @ X1 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X2 )
& ( iext @ uri_rdf_type @ X3 @ uri_owl_AllDifferent )
& ( iext @ uri_owl_members @ X3 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[562]) ).
thf(586,plain,
( ( ! [S: $i,P: $i,O: $i] :
( ( iext @ P @ S @ O )
=> ( ip @ P ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(587,plain,
( ( iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(588,plain,
( ( iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(589,plain,
( ( iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(590,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(591,plain,
( ( iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(592,plain,
( ( ! [X: $i,C: $i] :
( ( iext @ uri_rdf_type @ X @ C )
<=> ( icext @ C @ X ) ) )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(593,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)],[577]) ).
thf(594,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)],[576]) ).
thf(595,plain,
( ( ic @ uri_owl_AllDifferent )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(596,plain,
( ( ! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(597,plain,
( ( ! [X: $i,Y: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(598,plain,
( ( ip @ uri_owl_members )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(599,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_differentFrom @ X @ Y )
<=> ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(600,plain,
( ( ! [X: $i,Y: $i] :
( ( iext @ uri_owl_sameAs @ X @ Y )
<=> ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(601,plain,
( ( ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ uri_rdf_nil ) ) )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(602,plain,
( ( ! [S1: $i,A1: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(603,plain,
( ( ! [S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( A1 != A2 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(604,plain,
( ( ! [S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) )
=> ? [Z: $i] :
( ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(605,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( A1 != A2 ) ) )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(606,plain,
( ( ! [Z: $i,S1: $i,A1: $i,S2: $i,A2: $i,S3: $i,A3: $i] :
( ( ( iext @ uri_rdf_first @ S1 @ A1 )
& ( iext @ uri_rdf_rest @ S1 @ S2 )
& ( iext @ uri_rdf_first @ S2 @ A2 )
& ( iext @ uri_rdf_rest @ S2 @ S3 )
& ( iext @ uri_rdf_first @ S3 @ A3 )
& ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ Z )
& ( iext @ uri_owl_members @ Z @ S1 ) )
=> ( ( A1 != A2 )
& ( A1 != A3 )
& ( A2 != A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(607,plain,
( ( ? [X0: $i,X2: $i,X1: $i] :
( ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
& ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X0 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
& ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X2 @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(608,plain,
( ( ~ ? [X2: $i,X0: $i,X1: $i,X3: $i] :
( ( iext @ uri_rdf_first @ X0 @ uri_ex_w1 )
& ( iext @ uri_rdf_rest @ X0 @ X1 )
& ( iext @ uri_rdf_first @ X1 @ uri_ex_w2 )
& ( iext @ uri_rdf_rest @ X1 @ X2 )
& ( iext @ uri_rdf_type @ X3 @ uri_owl_AllDifferent )
& ( iext @ uri_owl_members @ X3 @ X0 )
& ( iext @ uri_rdf_first @ X2 @ uri_ex_w3 )
& ( iext @ uri_rdf_rest @ X2 @ uri_rdf_nil ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(609,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX1 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SX1 @ SX2 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(610,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SX0 )
| ~ ( iext @ uri_owl_members @ SX0 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[601]) ).
thf(611,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX0 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[607]) ).
thf(612,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ SX5 ) )
| ~ ( iext @ uri_rdf_first @ SX5 @ SX6 ) )
| ~ ( iext @ uri_rdf_rest @ SX5 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SX0 ) )
| ~ ( iext @ uri_owl_members @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( ( SX2 != SX4 ) )
| ~ ( ( SX2 != SX6 ) ) )
| ~ ( ( SX4 != SX6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[606]) ).
thf(613,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX0 @ SX1 )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SX2 )
| ~ ( iext @ uri_owl_members @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(614,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX0 ) )
| ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SX3 @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[608]) ).
thf(615,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_differentFrom @ SX0 @ SX1 )
| ( SX0 != SX1 ) )
| ~ ( ~ ( ( SX0 != SX1 ) )
| ( iext @ uri_owl_differentFrom @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(616,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SX0 @ SX1 )
| ~ ( iext @ uri_rdfs_subClassOf @ SX1 @ SX2 ) )
| ( iext @ uri_rdfs_subClassOf @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(617,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_sameAs @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( iext @ uri_owl_sameAs @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[600]) ).
thf(618,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX0 @ SX1 )
| ~ ( iext @ uri_rdf_rest @ SX0 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX4 ) )
| ~ ( iext @ uri_rdf_first @ SX4 @ SX5 ) )
| ~ ( iext @ uri_rdf_rest @ SX4 @ uri_rdf_nil ) )
| ~ ( ( SX1 != SX3 ) ) )
| ~ ( ( SX1 != SX5 ) ) )
| ~ ( ( SX3 != SX5 ) ) )
| ~ ! [SX6: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SX6 )
| ~ ( iext @ uri_owl_members @ SX6 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(619,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX0 @ SX1 )
| ~ ( iext @ uri_rdf_rest @ SX0 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ SX3 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ uri_rdf_nil ) )
| ~ ( ( SX1 != SX3 ) ) )
| ~ ! [SX4: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SX4 )
| ~ ( iext @ uri_owl_members @ SX4 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(620,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( iext @ SX1 @ SX0 @ SX2 )
| ( ip @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(621,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SX0 @ SX1 )
| ( icext @ SX1 @ SX0 ) )
| ~ ( ~ ( icext @ SX1 @ SX0 )
| ( iext @ uri_rdf_type @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(622,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ SX2 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX3 ) )
| ~ ( iext @ uri_rdf_first @ SX3 @ SX4 ) )
| ~ ( iext @ uri_rdf_rest @ SX3 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SX0 ) )
| ~ ( iext @ uri_owl_members @ SX0 @ SX1 ) )
| ( SX2 != SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(623,plain,
! [SV1: $i] :
( ( ! [SY54: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ SV1 @ SY54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(624,plain,
! [SV2: $i] :
( ( ! [SY55: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ SV2 @ SY55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(625,plain,
! [SV3: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SY56 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SY56 @ SY57 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(626,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SX0 )
| ~ ( iext @ uri_owl_members @ SX0 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(627,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX0 ) )
| ~ ( iext @ uri_rdf_first @ SX1 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(628,plain,
! [SV4: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY58 @ SY59 )
| ~ ( iext @ uri_rdf_rest @ SY58 @ SY60 ) )
| ~ ( iext @ uri_rdf_first @ SY60 @ SY61 ) )
| ~ ( iext @ uri_rdf_rest @ SY60 @ SY62 ) )
| ~ ( iext @ uri_rdf_first @ SY62 @ SY63 ) )
| ~ ( iext @ uri_rdf_rest @ SY62 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SY58 ) )
| ~ ( ~ ~ ( ~ ( ( SY59 != SY61 ) )
| ~ ( ( SY59 != SY63 ) ) )
| ~ ( ( SY61 != SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(629,plain,
! [SV5: $i] :
( ( ! [SY64: $i] :
( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SY64 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) )
| ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(630,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX0 ) )
| ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SX3 @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(631,plain,
! [SV6: $i] :
( ( ! [SY66: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SY66 )
| ( SV6 != SY66 ) )
| ~ ( ~ ( ( SV6 != SY66 ) )
| ( iext @ uri_owl_differentFrom @ SV6 @ SY66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(632,plain,
! [SV7: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SY67 )
| ~ ( iext @ uri_rdfs_subClassOf @ SY67 @ SY68 ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(633,plain,
! [SV8: $i] :
( ( ! [SY69: $i] :
~ ( ~ ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SY69 )
| ( SV8 = SY69 ) )
| ~ ( ( SV8 != SY69 )
| ( iext @ uri_owl_sameAs @ SV8 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(634,plain,
! [SV9: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i,SY73: $i,SY74: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SY70 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SY71 ) )
| ~ ( iext @ uri_rdf_first @ SY71 @ SY72 ) )
| ~ ( iext @ uri_rdf_rest @ SY71 @ SY73 ) )
| ~ ( iext @ uri_rdf_first @ SY73 @ SY74 ) )
| ~ ( iext @ uri_rdf_rest @ SY73 @ uri_rdf_nil ) )
| ~ ( ( SY70 != SY72 ) ) )
| ~ ( ( SY70 != SY74 ) ) )
| ~ ( ( SY72 != SY74 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(635,plain,
! [SV10: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SY76 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY77 ) )
| ~ ( iext @ uri_rdf_first @ SY77 @ SY78 ) )
| ~ ( iext @ uri_rdf_rest @ SY77 @ uri_rdf_nil ) )
| ~ ( ( SY76 != SY78 ) ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(636,plain,
! [SV11: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ~ ( iext @ SY80 @ SV11 @ SY81 )
| ( ip @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(637,plain,
! [SV12: $i] :
( ( ! [SY82: $i] :
~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV12 @ SY82 )
| ( icext @ SY82 @ SV12 ) )
| ~ ( ~ ( icext @ SY82 @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(638,plain,
! [SV13: $i] :
( ( ! [SY83: $i,SY84: $i,SY85: $i,SY86: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY83 @ SY84 )
| ~ ( iext @ uri_rdf_rest @ SY83 @ SY85 ) )
| ~ ( iext @ uri_rdf_first @ SY85 @ SY86 ) )
| ~ ( iext @ uri_rdf_rest @ SY85 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SY83 ) )
| ( SY84 != SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(639,plain,
! [SV14: $i,SV1: $i] :
( ( ~ ( iext @ uri_owl_bottomDataProperty @ SV1 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(640,plain,
! [SV15: $i,SV2: $i] :
( ( ~ ( iext @ uri_owl_bottomObjectProperty @ SV2 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(641,plain,
! [SV16: $i,SV3: $i] :
( ( ! [SY87: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SY87 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(642,plain,
( ( ~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ sK1_SX0 )
| ~ ( iext @ uri_owl_members @ sK1_SX0 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[626]) ).
thf(643,plain,
( ( ~ ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[627]) ).
thf(644,plain,
! [SV4: $i,SV17: $i] :
( ( ! [SY90: $i,SY91: $i,SY92: $i,SY93: $i,SY94: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SY90 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SY91 ) )
| ~ ( iext @ uri_rdf_first @ SY91 @ SY92 ) )
| ~ ( iext @ uri_rdf_rest @ SY91 @ SY93 ) )
| ~ ( iext @ uri_rdf_first @ SY93 @ SY94 ) )
| ~ ( iext @ uri_rdf_rest @ SY93 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SY90 != SY92 ) )
| ~ ( ( SY90 != SY94 ) ) )
| ~ ( ( SY92 != SY94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(645,plain,
! [SV18: $i,SV5: $i] :
( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) )
| ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(646,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ~ ! [SX3: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SX1 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SX1 @ SX2 ) )
| ~ ( iext @ uri_rdf_first @ SX2 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SX2 @ SX0 ) )
| ~ ( iext @ uri_rdf_type @ SX3 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SX3 @ SX1 ) )
| ~ ( iext @ uri_rdf_first @ SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SX0 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(647,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
| ( SV6 != SV19 ) )
| ~ ( ~ ( ( SV6 != SV19 ) )
| ( iext @ uri_owl_differentFrom @ SV6 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(648,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY96: $i] :
( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SY96 ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(649,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
| ( SV8 = SV21 ) )
| ~ ( ( SV8 != SV21 )
| ( iext @ uri_owl_sameAs @ SV8 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(650,plain,
! [SV22: $i,SV9: $i] :
( ( ! [SY97: $i,SY98: $i,SY99: $i,SY100: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SY97 ) )
| ~ ( iext @ uri_rdf_first @ SY97 @ SY98 ) )
| ~ ( iext @ uri_rdf_rest @ SY97 @ SY99 ) )
| ~ ( iext @ uri_rdf_first @ SY99 @ SY100 ) )
| ~ ( iext @ uri_rdf_rest @ SY99 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SY98 ) ) )
| ~ ( ( SV22 != SY100 ) ) )
| ~ ( ( SY98 != SY100 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(651,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SY102 ) )
| ~ ( iext @ uri_rdf_first @ SY102 @ SY103 ) )
| ~ ( iext @ uri_rdf_rest @ SY102 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SY103 ) ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(652,plain,
! [SV11: $i,SV24: $i] :
( ( ! [SY105: $i] :
( ~ ( iext @ SV24 @ SV11 @ SY105 )
| ( ip @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(653,plain,
! [SV25: $i,SV12: $i] :
( ( ~ ( ~ ( ~ ( iext @ uri_rdf_type @ SV12 @ SV25 )
| ( icext @ SV25 @ SV12 ) )
| ~ ( ~ ( icext @ SV25 @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(654,plain,
! [SV13: $i,SV26: $i] :
( ( ! [SY106: $i,SY107: $i,SY108: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SY106 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SY107 ) )
| ~ ( iext @ uri_rdf_first @ SY107 @ SY108 ) )
| ~ ( iext @ uri_rdf_rest @ SY107 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
| ( SY106 != SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(655,plain,
! [SV14: $i,SV1: $i] :
( ( iext @ uri_owl_bottomDataProperty @ SV1 @ SV14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(656,plain,
! [SV15: $i,SV2: $i] :
( ( iext @ uri_owl_bottomObjectProperty @ SV2 @ SV15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(657,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) )
| ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(658,plain,
( ( ~ ( ~ ( icext @ uri_owl_AllDifferent @ sK1_SX0 )
| ~ ( iext @ uri_owl_members @ sK1_SX0 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(659,plain,
( ( ~ ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(660,plain,
! [SV4: $i,SV28: $i,SV17: $i] :
( ( ! [SY109: $i,SY110: $i,SY111: $i,SY112: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SY109 ) )
| ~ ( iext @ uri_rdf_first @ SY109 @ SY110 ) )
| ~ ( iext @ uri_rdf_rest @ SY109 @ SY111 ) )
| ~ ( iext @ uri_rdf_first @ SY111 @ SY112 ) )
| ~ ( iext @ uri_rdf_rest @ SY111 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SV28 != SY110 ) )
| ~ ( ( SV28 != SY112 ) ) )
| ~ ( ( SY110 != SY112 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(661,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(662,plain,
! [SV29: $i] :
( ( ~ ~ ! [SY113: $i] :
~ ~ ! [SY114: $i] :
~ ~ ! [SY115: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY113 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SY113 @ SY114 ) )
| ~ ( iext @ uri_rdf_first @ SY114 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY114 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY115 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY115 @ SY113 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(663,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
| ( SV6 != SV19 ) )
| ~ ( ~ ( ( SV6 != SV19 ) )
| ( iext @ uri_owl_differentFrom @ SV6 @ SV19 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(664,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) )
| ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(665,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
| ( SV8 = SV21 ) )
| ~ ( ( SV8 != SV21 )
| ( iext @ uri_owl_sameAs @ SV8 @ SV21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(666,plain,
! [SV31: $i,SV22: $i,SV9: $i] :
( ( ! [SY116: $i,SY117: $i,SY118: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SY116 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SY117 ) )
| ~ ( iext @ uri_rdf_first @ SY117 @ SY118 ) )
| ~ ( iext @ uri_rdf_rest @ SY117 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SY116 ) ) )
| ~ ( ( SV22 != SY118 ) ) )
| ~ ( ( SY116 != SY118 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(667,plain,
! [SV32: $i,SV23: $i,SV10: $i] :
( ( ! [SY120: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SY120 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SY120 ) ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(668,plain,
! [SV33: $i,SV11: $i,SV24: $i] :
( ( ~ ( iext @ SV24 @ SV11 @ SV33 )
| ( ip @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(669,plain,
! [SV25: $i,SV12: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV12 @ SV25 )
| ( icext @ SV25 @ SV12 ) )
| ~ ( ~ ( icext @ SV25 @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(670,plain,
! [SV13: $i,SV34: $i,SV26: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SY122 ) )
| ~ ( iext @ uri_rdf_first @ SY122 @ SY123 ) )
| ~ ( iext @ uri_rdf_rest @ SY122 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
| ( SV34 != SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(671,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(672,plain,
( ( ~ ( icext @ uri_owl_AllDifferent @ sK1_SX0 )
| ~ ( iext @ uri_owl_members @ sK1_SX0 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(673,plain,
( ( ! [SY88: $i] :
~ ~ ! [SY89: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY89 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY89 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ SY88 @ SY89 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(674,plain,
! [SV4: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SY124 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SY125 ) )
| ~ ( iext @ uri_rdf_first @ SY125 @ SY126 ) )
| ~ ( iext @ uri_rdf_rest @ SY125 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SV28 != SY124 ) )
| ~ ( ( SV28 != SY126 ) ) )
| ~ ( ( SY124 != SY126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(675,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV5 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(676,plain,
! [SV29: $i] :
( ( ~ ! [SY113: $i] :
~ ~ ! [SY114: $i] :
~ ~ ! [SY115: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY113 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SY113 @ SY114 ) )
| ~ ( iext @ uri_rdf_first @ SY114 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY114 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY115 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY115 @ SY113 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(677,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
| ( SV6 != SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(678,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( ~ ( ( SV6 != SV19 ) )
| ( iext @ uri_owl_differentFrom @ SV6 @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[663]) ).
thf(679,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(680,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
| ( SV8 = SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(681,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( ( SV8 != SV21 )
| ( iext @ uri_owl_sameAs @ SV8 @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(682,plain,
! [SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SY127 ) )
| ~ ( iext @ uri_rdf_first @ SY127 @ SY128 ) )
| ~ ( iext @ uri_rdf_rest @ SY127 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SY128 ) ) )
| ~ ( ( SV36 != SY128 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(683,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SV37 ) ) )
| ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(684,plain,
! [SV33: $i,SV11: $i,SV24: $i] :
( ( ( ~ ( iext @ SV24 @ SV11 @ SV33 ) )
= $true )
| ( ( ip @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(685,plain,
! [SV25: $i,SV12: $i] :
( ( ~ ( ~ ( iext @ uri_rdf_type @ SV12 @ SV25 )
| ( icext @ SV25 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(686,plain,
! [SV12: $i,SV25: $i] :
( ( ~ ( ~ ( icext @ SV25 @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(687,plain,
! [SV13: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ! [SY131: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SY131 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
| ( SV34 != SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(688,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(689,plain,
( ( ~ ( icext @ uri_owl_AllDifferent @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(690,plain,
( ( ~ ( iext @ uri_owl_members @ sK1_SX0 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(691,plain,
( ( ~ ~ ! [SY132: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ SY132 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[673]) ).
thf(692,plain,
! [SV4: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SY133 ) )
| ~ ( iext @ uri_rdf_first @ SY133 @ SY134 ) )
| ~ ( iext @ uri_rdf_rest @ SY133 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SY134 ) ) )
| ~ ( ( SV39 != SY134 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(693,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV18 )
| ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(694,plain,
! [SV29: $i] :
( ( ! [SY113: $i] :
~ ~ ! [SY114: $i] :
~ ~ ! [SY115: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SY113 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SY113 @ SY114 ) )
| ~ ( iext @ uri_rdf_first @ SY114 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY114 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY115 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY115 @ SY113 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(695,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
| ( SV6 != SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(696,plain,
! [SV19: $i,SV6: $i] :
( ( ~ ( ( SV6 != SV19 ) )
| ( iext @ uri_owl_differentFrom @ SV6 @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(697,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) ) )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(698,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
| ( SV8 = SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(699,plain,
! [SV21: $i,SV8: $i] :
( ( ( SV8 != SV21 )
| ( iext @ uri_owl_sameAs @ SV8 @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(700,plain,
! [SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ! [SY135: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SY135 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SY135 ) ) )
| ~ ( ( SV36 != SY135 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(701,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SV37 ) ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(702,plain,
! [SV33: $i,SV11: $i,SV24: $i] :
( ( ( iext @ SV24 @ SV11 @ SV33 )
= $false )
| ( ( ip @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(703,plain,
! [SV25: $i,SV12: $i] :
( ( ~ ( iext @ uri_rdf_type @ SV12 @ SV25 )
| ( icext @ SV25 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(704,plain,
! [SV12: $i,SV25: $i] :
( ( ~ ( icext @ SV25 @ SV12 )
| ( iext @ uri_rdf_type @ SV12 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(705,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
| ( SV34 != SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(706,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
| ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(707,plain,
( ( icext @ uri_owl_AllDifferent @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(708,plain,
( ( iext @ uri_owl_members @ sK1_SX0 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(709,plain,
( ( ~ ! [SY132: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ SY132 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(710,plain,
! [SV4: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ! [SY137: $i] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SY137 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SY137 ) ) )
| ~ ( ( SV39 != SY137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(711,plain,
! [SV18: $i,SV5: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV5 @ SV18 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(712,plain,
! [SV29: $i,SV43: $i] :
( ( ~ ~ ! [SY138: $i] :
~ ~ ! [SY139: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SY138 ) )
| ~ ( iext @ uri_rdf_first @ SY138 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY138 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY139 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY139 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(713,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( iext @ uri_owl_differentFrom @ SV6 @ SV19 ) )
= $true )
| ( ( SV6 != SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(714,plain,
! [SV19: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV19 ) ) )
= $true )
| ( ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(715,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
| ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(716,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( iext @ uri_owl_sameAs @ SV8 @ SV21 ) )
= $true )
| ( ( SV8 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(717,plain,
! [SV21: $i,SV8: $i] :
( ( ( SV8 != SV21 )
= $true )
| ( ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(718,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) )
| ~ ( ( SV36 != SV44 ) ) )
| ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(719,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SV37 ) ) ) )
= $false )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(720,plain,
! [SV25: $i,SV12: $i] :
( ( ( ~ ( iext @ uri_rdf_type @ SV12 @ SV25 ) )
= $true )
| ( ( icext @ SV25 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(721,plain,
! [SV12: $i,SV25: $i] :
( ( ( ~ ( icext @ SV25 @ SV12 ) )
= $true )
| ( ( iext @ uri_rdf_type @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(722,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(723,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(724,plain,
( ( ! [SY132: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ SY132 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(725,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
| ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(726,plain,
! [SV18: $i,SV5: $i] :
( ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(727,plain,
! [SV29: $i,SV43: $i] :
( ( ~ ! [SY138: $i] :
~ ~ ! [SY139: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SY138 ) )
| ~ ( iext @ uri_rdf_first @ SY138 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY138 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY139 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY139 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(728,plain,
! [SV19: $i,SV6: $i] :
( ( ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
= $false )
| ( ( SV6 != SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(729,plain,
! [SV19: $i,SV6: $i] :
( ( ( SV6 != SV19 )
= $false )
| ( ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(730,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 ) )
= $true )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(731,plain,
! [SV21: $i,SV8: $i] :
( ( ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
= $false )
| ( ( SV8 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(732,plain,
! [SV21: $i,SV8: $i] :
( ( ( SV8 = SV21 )
= $false )
| ( ( iext @ uri_owl_sameAs @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(733,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) )
| ~ ( ( SV36 != SV44 ) ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(734,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
| ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(735,plain,
! [SV25: $i,SV12: $i] :
( ( ( iext @ uri_rdf_type @ SV12 @ SV25 )
= $false )
| ( ( icext @ SV25 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(736,plain,
! [SV12: $i,SV25: $i] :
( ( ( icext @ SV25 @ SV12 )
= $false )
| ( ( iext @ uri_rdf_type @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(737,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) ) )
= $false )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(738,plain,
! [SV27: $i,SV16: $i,SV3: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 ) )
= $true )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(739,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ sK4_SY132 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(740,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(741,plain,
! [SV18: $i,SV5: $i] :
( ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( ~ ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(742,plain,
! [SV29: $i,SV43: $i] :
( ( ! [SY138: $i] :
~ ~ ! [SY139: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SY138 ) )
| ~ ( iext @ uri_rdf_first @ SY138 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SY138 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY139 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY139 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(743,plain,
! [SV19: $i,SV6: $i] :
( ( ( SV6 = SV19 )
= $false )
| ( ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(744,plain,
! [SV19: $i,SV6: $i] :
( ( ( SV6 = SV19 )
= $true )
| ( ( iext @ uri_owl_differentFrom @ SV6 @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(745,plain,
! [SV30: $i,SV20: $i,SV7: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
= $false )
| ( ( ~ ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 ) )
= $true )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(746,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) )
| ~ ( ( SV36 != SV44 ) ) ) )
= $false )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(747,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(748,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
| ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(749,plain,
! [SV3: $i,SV27: $i,SV16: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ SV16 @ SV27 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV16 )
= $false )
| ( ( iext @ uri_rdfs_subPropertyOf @ SV3 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(750,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ sK4_SY132 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(751,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(752,plain,
! [SV18: $i,SV5: $i] :
( ( ( ! [SY65: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY65 )
| ~ ( iext @ uri_owl_members @ SY65 @ SV5 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(753,plain,
! [SV29: $i,SV46: $i,SV43: $i] :
( ( ~ ~ ! [SY141: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY141 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY141 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(754,plain,
! [SV7: $i,SV30: $i,SV20: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ SV20 @ SV30 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV20 )
= $false )
| ( ( iext @ uri_rdfs_subClassOf @ SV7 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(755,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) )
| ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[746]) ).
thf(756,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(757,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(758,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
| ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ sK4_SY132 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(759,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
| ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(760,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK5_SY65 @ SV18 @ SV5 ) )
| ~ ( iext @ uri_owl_members @ ( sK5_SY65 @ SV18 @ SV5 ) @ SV5 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[752]) ).
thf(761,plain,
! [SV29: $i,SV46: $i,SV43: $i] :
( ( ~ ! [SY141: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY141 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY141 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(762,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(763,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
| ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(764,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) ) )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(765,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(766,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK3_SY88 @ sK4_SY132 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(767,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(768,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK5_SY65 @ SV18 @ SV5 ) )
| ~ ( iext @ uri_owl_members @ ( sK5_SY65 @ SV18 @ SV5 ) @ SV5 ) ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(769,plain,
! [SV29: $i,SV46: $i,SV43: $i] :
( ( ! [SY141: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SY141 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SY141 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(770,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) ) )
= $false )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(771,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(772,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(773,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(774,plain,
( ( iext @ uri_rdf_rest @ sK3_SY88 @ sK4_SY132 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(775,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) ) )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(776,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK5_SY65 @ SV18 @ SV5 ) )
| ~ ( iext @ uri_owl_members @ ( sK5_SY65 @ SV18 @ SV5 ) @ SV5 ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(777,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(778,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
| ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(779,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(780,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(781,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
| ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(782,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
| ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(783,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK5_SY65 @ SV18 @ SV5 ) ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(784,plain,
! [SV5: $i,SV18: $i] :
( ( ( ~ ( iext @ uri_owl_members @ ( sK5_SY65 @ SV18 @ SV5 ) @ SV5 ) )
= $false )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[776]) ).
thf(785,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(786,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(787,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
| ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(788,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(789,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(790,plain,
( ( ~ ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[781]) ).
thf(791,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(792,plain,
! [SV5: $i,SV18: $i] :
( ( ( icext @ uri_owl_AllDifferent @ ( sK5_SY65 @ SV18 @ SV5 ) )
= $true )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(793,plain,
! [SV5: $i,SV18: $i] :
( ( ( iext @ uri_owl_members @ ( sK5_SY65 @ SV18 @ SV5 ) @ SV5 )
= $true )
| ( ( iext @ uri_rdf_first @ SV5 @ SV18 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV5 @ uri_rdf_nil )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(794,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(795,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) ) )
= $false )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(796,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(797,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
| ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(798,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(799,plain,
( ( iext @ uri_rdf_first @ sK3_SY88 @ uri_ex_w1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(800,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(801,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(802,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
| ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(803,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(804,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(805,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(806,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
| ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(807,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(808,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(809,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 )
| ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(810,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(811,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(812,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(813,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(814,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
| ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(815,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) ) )
= $false )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(816,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(817,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
| ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(818,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(819,plain,
( ( iext @ uri_rdf_rest @ sK4_SY132 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(820,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(821,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(822,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
| ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(823,plain,
! [SV37: $i,SV32: $i,SV23: $i,SV10: $i] :
( ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(824,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(825,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(826,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
| ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(827,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(828,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[822]) ).
thf(829,plain,
! [SV37: $i,SV23: $i,SV32: $i,SV10: $i] :
( ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV32 @ SV37 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[823]) ).
thf(830,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(831,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(832,plain,
( ( ~ ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(833,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(834,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
| ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(835,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(836,plain,
! [SV23: $i,SV10: $i,SV37: $i,SV32: $i] :
( ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(837,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 )
| ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(838,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(839,plain,
( ( iext @ uri_rdf_first @ sK4_SY132 @ uri_ex_w2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(840,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(841,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(842,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
| ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(843,plain,
! [SV37: $i,SV23: $i,SV10: $i,SV32: $i] :
( ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( ~ ( ( SV23 != SV37 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(844,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV26 @ SV34 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(845,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(846,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
| ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(847,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) ) )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(848,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(849,plain,
! [SV10: $i,SV32: $i,SV37: $i,SV23: $i] :
( ( ( SV23 != SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(850,plain,
! [SV13: $i,SV41: $i,SV38: $i,SV34: $i,SV26: $i] :
( ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV26 @ SV38 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(851,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(852,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(853,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(854,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
| ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(855,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(856,plain,
! [SV10: $i,SV32: $i,SV37: $i,SV23: $i] :
( ( ( SV23 = SV37 )
= $true )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( ~ ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[849]) ).
thf(857,plain,
! [SV13: $i,SV41: $i,SV34: $i,SV38: $i,SV26: $i] :
( ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV38 @ SV41 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(858,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(859,plain,
( ( iext @ uri_owl_differentFrom @ uri_ex_w2 @ uri_ex_w3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(860,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(861,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(862,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
| ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(863,plain,
! [SV37: $i,SV23: $i,SV32: $i,SV10: $i] :
( ( ( ! [SY79: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY79 )
| ~ ( iext @ uri_owl_members @ SY79 @ SV10 ) ) )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(864,plain,
! [SV13: $i,SV34: $i,SV26: $i,SV41: $i,SV38: $i] :
( ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(865,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(866,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
| ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(867,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(868,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(869,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) )
| ~ ( iext @ uri_owl_members @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) @ SV10 ) ) )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[863]) ).
thf(870,plain,
! [SV13: $i,SV41: $i,SV34: $i,SV26: $i,SV38: $i] :
( ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV13 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(871,plain,
( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(872,plain,
( ( ~ ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(873,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(874,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
| ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(875,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(876,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) )
| ~ ( iext @ uri_owl_members @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) @ SV10 ) ) )
= $true )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(877,plain,
! [SV34: $i,SV26: $i,SV41: $i,SV38: $i,SV13: $i] :
( ( ( icext @ uri_owl_AllDifferent @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV13 @ SV26 ) )
= $true )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(878,plain,
( ( ~ ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(879,plain,
( ( iext @ uri_rdf_rest @ sK2_SX0 @ uri_rdf_nil )
= $true ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(880,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(881,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(882,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
| ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(883,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) )
| ~ ( iext @ uri_owl_members @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) @ SV10 ) )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(884,plain,
! [SV41: $i,SV34: $i,SV38: $i,SV26: $i,SV13: $i] :
( ( ( iext @ uri_owl_members @ SV13 @ SV26 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV13 )
= $false )
| ( ( SV34 != SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(885,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
| ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(886,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 )
| ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(887,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[881]) ).
thf(888,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(889,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) ) )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(890,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( ~ ( iext @ uri_owl_members @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) @ SV10 ) )
= $false )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(891,plain,
! [SV26: $i,SV38: $i,SV13: $i,SV41: $i,SV34: $i] :
( ( ( SV34 = SV41 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV13 )
= $false )
| ( ( iext @ uri_rdf_first @ SV38 @ SV41 )
= $false )
| ( ( iext @ uri_rdf_first @ SV26 @ SV34 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV26 @ SV38 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV38 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV13 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(892,plain,
( ( ~ ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(893,plain,
( ( ~ ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(894,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV17 @ SV28 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(895,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
| ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(896,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(897,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( icext @ uri_owl_AllDifferent @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) )
= $true )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(898,plain,
! [SV10: $i,SV32: $i,SV23: $i,SV37: $i] :
( ( ( iext @ uri_owl_members @ ( sK6_SY79 @ SV37 @ SV23 @ SV32 @ SV10 ) @ SV10 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV32 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV10 @ SV32 )
= $false )
| ( ( iext @ uri_rdf_first @ SV10 @ SV23 )
= $false )
| ( ( iext @ uri_rdf_first @ SV32 @ SV37 )
= $false )
| ( ( SV23 = SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(899,plain,
( ( ~ ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(900,plain,
( ( iext @ uri_rdf_first @ sK2_SX0 @ uri_ex_w3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(901,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV35: $i,SV28: $i,SV17: $i] :
( ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV17 @ SV35 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(902,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(903,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 )
| ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(904,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
| ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(905,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV39: $i,SV28: $i,SV35: $i,SV17: $i] :
( ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV35 @ SV39 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(906,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) ) )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(907,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV9 @ SV22 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(908,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(909,plain,
( ( ~ ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(910,plain,
! [SV4: $i,SV45: $i,SV42: $i,SV28: $i,SV17: $i,SV39: $i,SV35: $i] :
( ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV35 @ SV42 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(911,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
| ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[906]) ).
thf(912,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV31: $i,SV22: $i,SV9: $i] :
( ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV9 @ SV31 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(913,plain,
( ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w2 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(914,plain,
( ( iext @ uri_owl_differentFrom @ uri_ex_w1 @ uri_ex_w3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(915,plain,
! [SV4: $i,SV45: $i,SV39: $i,SV28: $i,SV17: $i,SV42: $i,SV35: $i] :
( ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV42 @ SV45 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(916,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( ~ ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(917,plain,
! [SV44: $i,SV40: $i,SV36: $i,SV22: $i,SV31: $i,SV9: $i] :
( ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV31 @ SV36 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(918,plain,
! [SV4: $i,SV28: $i,SV17: $i,SV39: $i,SV35: $i,SV45: $i,SV42: $i] :
( ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(919,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV43 @ SV46 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(920,plain,
! [SV44: $i,SV40: $i,SV22: $i,SV9: $i,SV36: $i,SV31: $i] :
( ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV31 @ SV40 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(921,plain,
! [SV4: $i,SV45: $i,SV39: $i,SV28: $i,SV17: $i,SV35: $i,SV42: $i] :
( ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( ~ ( icext @ uri_owl_AllDifferent @ SV4 ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(922,plain,
! [SV47: $i,SV29: $i,SV46: $i,SV43: $i] :
( ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(923,plain,
! [SV44: $i,SV36: $i,SV22: $i,SV9: $i,SV40: $i,SV31: $i] :
( ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV40 @ SV44 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(924,plain,
! [SV28: $i,SV17: $i,SV39: $i,SV35: $i,SV45: $i,SV42: $i,SV4: $i] :
( ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV4 @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(925,plain,
! [SV47: $i,SV29: $i,SV43: $i,SV46: $i] :
( ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV46 @ SV29 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(926,plain,
! [SV22: $i,SV9: $i,SV36: $i,SV31: $i,SV44: $i,SV40: $i] :
( ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil ) )
= $true )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(927,plain,
! [SV45: $i,SV39: $i,SV28: $i,SV35: $i,SV42: $i,SV17: $i,SV4: $i] :
( ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(928,plain,
! [SV47: $i,SV43: $i,SV29: $i,SV46: $i] :
( ( ( iext @ uri_rdf_rest @ SV46 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( ~ ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent ) )
= $true )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(929,plain,
! [SV44: $i,SV36: $i,SV22: $i,SV9: $i,SV31: $i,SV40: $i] :
( ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( ~ ( ( SV22 != SV36 ) ) )
= $true )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(930,plain,
! [SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
| ~ ( ( SV39 != SV45 ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(931,plain,
! [SV29: $i,SV43: $i,SV46: $i,SV47: $i] :
( ( ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent )
= $false )
| ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV46 @ SV29 )
= $false )
| ( ( ~ ( iext @ uri_owl_members @ SV47 @ SV43 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(932,plain,
! [SV9: $i,SV31: $i,SV44: $i,SV40: $i,SV36: $i,SV22: $i] :
( ( ( SV22 != SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(933,plain,
! [SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(934,plain,
! [SV28: $i,SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i] :
( ( ( ~ ( ( SV39 != SV45 ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(935,plain,
! [SV29: $i,SV46: $i,SV43: $i,SV47: $i] :
( ( ( iext @ uri_owl_members @ SV47 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV46 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent )
= $false )
| ( ( ~ ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 ) )
= $true )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(936,plain,
! [SV9: $i,SV31: $i,SV44: $i,SV40: $i,SV36: $i,SV22: $i] :
( ( ( SV22 = SV36 )
= $true )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( ~ ( ( SV22 != SV44 ) ) )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(937,plain,
! [SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i,SV28: $i] :
( ( ( ~ ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) ) )
= $true )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(938,plain,
! [SV28: $i,SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i] :
( ( ( SV39 != SV45 )
= $true )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(939,plain,
! [SV43: $i,SV46: $i,SV47: $i,SV29: $i] :
( ( ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 )
= $false )
| ( ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent )
= $false )
| ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV46 @ SV29 )
= $false )
| ( ( iext @ uri_owl_members @ SV47 @ SV43 )
= $false )
| ( ( ~ ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(940,plain,
! [SV36: $i,SV9: $i,SV31: $i,SV40: $i,SV44: $i,SV22: $i] :
( ( ( SV22 != SV44 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(941,plain,
! [SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV39 ) )
| ~ ( ( SV28 != SV45 ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(942,plain,
! [SV28: $i,SV17: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV39: $i] :
( ( ( SV39 = SV45 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(943,plain,
! [SV46: $i,SV43: $i,SV47: $i,SV29: $i] :
( ( ( iext @ uri_rdf_rest @ SV29 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV47 @ SV43 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV46 @ SV29 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV43 @ SV46 )
= $false )
| ( ( iext @ uri_rdf_first @ SV43 @ uri_ex_w1 )
= $false )
| ( ( iext @ uri_rdf_first @ SV46 @ uri_ex_w2 )
= $false )
| ( ( iext @ uri_rdf_type @ SV47 @ uri_owl_AllDifferent )
= $false )
| ( ( iext @ uri_rdf_first @ SV29 @ uri_ex_w3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(944,plain,
! [SV36: $i,SV9: $i,SV31: $i,SV40: $i,SV44: $i,SV22: $i] :
( ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( ~ ( ( SV36 != SV44 ) ) )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[940]) ).
thf(945,plain,
! [SV17: $i,SV35: $i,SV45: $i,SV42: $i,SV4: $i,SV39: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV39 ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(946,plain,
! [SV17: $i,SV39: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV45 ) ) )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(947,plain,
! [SV9: $i,SV31: $i,SV40: $i,SV22: $i,SV44: $i,SV36: $i] :
( ( ( SV36 != SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(948,plain,
! [SV17: $i,SV35: $i,SV45: $i,SV42: $i,SV4: $i,SV39: $i,SV28: $i] :
( ( ( SV28 != SV39 )
= $true )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(949,plain,
! [SV17: $i,SV39: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV28: $i] :
( ( ( SV28 != SV45 )
= $true )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(950,plain,
! [SV9: $i,SV31: $i,SV40: $i,SV22: $i,SV44: $i,SV36: $i] :
( ( ( SV36 = SV44 )
= $true )
| ( ( SV22 = SV36 )
= $true )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( ~ ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(951,plain,
! [SV17: $i,SV35: $i,SV45: $i,SV42: $i,SV4: $i,SV39: $i,SV28: $i] :
( ( ( SV28 = SV39 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(952,plain,
! [SV17: $i,SV39: $i,SV35: $i,SV42: $i,SV4: $i,SV45: $i,SV28: $i] :
( ( ( SV28 = SV45 )
= $false )
| ( ( icext @ uri_owl_AllDifferent @ SV4 )
= $false )
| ( ( iext @ uri_rdf_first @ SV42 @ SV45 )
= $false )
| ( ( iext @ uri_rdf_first @ SV35 @ SV39 )
= $false )
| ( ( iext @ uri_rdf_first @ SV17 @ SV28 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV17 @ SV35 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV35 @ SV42 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV42 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_owl_members @ SV4 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(953,plain,
! [SV36: $i,SV31: $i,SV40: $i,SV44: $i,SV22: $i,SV9: $i] :
( ( ( ! [SY75: $i] :
~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ SY75 )
| ~ ( iext @ uri_owl_members @ SY75 @ SV9 ) ) )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(954,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( ~ ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) )
| ~ ( iext @ uri_owl_members @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) @ SV9 ) ) )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[953]) ).
thf(955,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( ~ ( ~ ( icext @ uri_owl_AllDifferent @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) )
| ~ ( iext @ uri_owl_members @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) @ SV9 ) ) )
= $true )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(956,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) )
| ~ ( iext @ uri_owl_members @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) @ SV9 ) )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(957,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( ~ ( icext @ uri_owl_AllDifferent @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) ) )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(958,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( ~ ( iext @ uri_owl_members @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) @ SV9 ) )
= $false )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(959,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( icext @ uri_owl_AllDifferent @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) )
= $true )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(960,plain,
! [SV9: $i,SV22: $i,SV44: $i,SV40: $i,SV31: $i,SV36: $i] :
( ( ( iext @ uri_owl_members @ ( sK7_SY75 @ SV36 @ SV31 @ SV40 @ SV44 @ SV22 @ SV9 ) @ SV9 )
= $true )
| ( ( SV22 = SV44 )
= $true )
| ( ( iext @ uri_rdf_rest @ SV40 @ uri_rdf_nil )
= $false )
| ( ( iext @ uri_rdf_rest @ SV31 @ SV40 )
= $false )
| ( ( iext @ uri_rdf_rest @ SV9 @ SV31 )
= $false )
| ( ( iext @ uri_rdf_first @ SV9 @ SV22 )
= $false )
| ( ( iext @ uri_rdf_first @ SV31 @ SV36 )
= $false )
| ( ( iext @ uri_rdf_first @ SV40 @ SV44 )
= $false )
| ( ( SV22 = SV36 )
= $true )
| ( ( SV36 = SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[958]) ).
thf(961,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[587,960,959,952,951,943,942,914,913,900,898,897,891,879,859,839,819,799,793,792,774,754,749,744,743,736,735,732,731,708,707,702,656,655,598,595,591,590,589,588]) ).
thf(962,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n015.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 15:59:28 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.97/0.78 ...
% 2.97/0.78
% 2.97/0.78 No.of.Axioms: 22
% 2.97/0.78
% 2.97/0.78 Length.of.Defs: 0
% 2.97/0.78
% 2.97/0.78 Contains.Choice.Funs: false
% 2.97/0.78 .....................
% 2.97/0.78
% 2.97/0.78 ********************************
% 2.97/0.78 * All subproblems solved! *
% 2.97/0.78 ********************************
% 2.97/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:961,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.97/0.78
% 2.97/0.78 %**** Beginning of derivation protocol ****
% 2.97/0.78 % SZS output start CNFRefutation
% See solution above
% 2.97/0.78
% 2.97/0.78 %**** End of derivation protocol ****
% 2.97/0.78 %**** no. of clauses in derivation: 425 ****
% 2.97/0.78 %**** clause counter: 961 ****
% 2.97/0.78
% 2.97/0.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:961,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------