%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n005.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 : Sun Sep 27 08:50:41 AM UTC 2026
% Result : Theorem 50.60s 12.11s
% Output : Refutation 51.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 552
% Syntax : Number of formulae : 1106 ( 398 unt; 0 typ; 0 def)
% Number of atoms : 4221 ( 266 equ; 0 cnn)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 11950 ( 310 ~; 99 |;1981 &;8525 @)
% ( 126 <=>; 909 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 171 ( 169 usr; 158 con; 0-3 aty)
% Number of variables : 2114 ( 0 ^;1947 !; 167 ?;2114 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_owl_ReflexiveProperty_decl,type,
uri_owl_ReflexiveProperty: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_xsd_int_decl,type,
uri_xsd_int: $i ).
thf(uri_xsd_long_decl,type,
uri_xsd_long: $i ).
thf(idc_decl,type,
idc: $i > $o ).
thf(uri_xsd_normalizedString_decl,type,
uri_xsd_normalizedString: $i ).
thf(uri_xsd_anyURI_decl,type,
uri_xsd_anyURI: $i ).
thf(uri_xsd_double_decl,type,
uri_xsd_double: $i ).
thf(uri_owl_rational_decl,type,
uri_owl_rational: $i ).
thf(uri_owl_real_decl,type,
uri_owl_real: $i ).
thf(uri_xsd_language_decl,type,
uri_xsd_language: $i ).
thf(uri_xsd_token_decl,type,
uri_xsd_token: $i ).
thf(uri_xsd_unsignedByte_decl,type,
uri_xsd_unsignedByte: $i ).
thf(uri_xsd_unsignedShort_decl,type,
uri_xsd_unsignedShort: $i ).
thf(uri_xsd_boolean_decl,type,
uri_xsd_boolean: $i ).
thf(uri_xsd_float_decl,type,
uri_xsd_float: $i ).
thf(uri_xsd_dateTime_decl,type,
uri_xsd_dateTime: $i ).
thf(uri_rdf_PlainLiteral_decl,type,
uri_rdf_PlainLiteral: $i ).
thf(uri_xsd_hexBinary_decl,type,
uri_xsd_hexBinary: $i ).
thf(uri_xsd_base64Binary_decl,type,
uri_xsd_base64Binary: $i ).
thf(uri_xsd_decimal_decl,type,
uri_xsd_decimal: $i ).
thf(uri_xsd_negativeInteger_decl,type,
uri_xsd_negativeInteger: $i ).
thf(uri_xsd_nonPositiveInteger_decl,type,
uri_xsd_nonPositiveInteger: $i ).
thf(uri_xsd_dateTimeStamp_decl,type,
uri_xsd_dateTimeStamp: $i ).
thf(uri_xsd_integer_decl,type,
uri_xsd_integer: $i ).
thf(uri_xsd_short_decl,type,
uri_xsd_short: $i ).
thf(uri_xsd_unsignedLong_decl,type,
uri_xsd_unsignedLong: $i ).
thf(uri_xsd_unsignedInt_decl,type,
uri_xsd_unsignedInt: $i ).
thf(uri_xsd_NCName_decl,type,
uri_xsd_NCName: $i ).
thf(uri_xsd_Name_decl,type,
uri_xsd_Name: $i ).
thf(uri_xsd_string_decl,type,
uri_xsd_string: $i ).
thf(uri_xsd_byte_decl,type,
uri_xsd_byte: $i ).
thf(uri_xsd_NMTOKEN_decl,type,
uri_xsd_NMTOKEN: $i ).
thf(uri_rdfs_Resource_decl,type,
uri_rdfs_Resource: $i ).
thf(ir_decl,type,
ir: $i > $o ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_owl_Annotation_decl,type,
uri_owl_Annotation: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_onClass_decl,type,
uri_owl_onClass: $i ).
thf(iodp_decl,type,
iodp: $i > $o ).
thf(uri_xsd_pattern_decl,type,
uri_xsd_pattern: $i ).
thf(uri_xsd_nonNegativeInteger_decl,type,
uri_xsd_nonNegativeInteger: $i ).
thf(lv_decl,type,
lv: $i > $o ).
thf(uri_owl_Thing_decl,type,
uri_owl_Thing: $i ).
thf(uri_rdf_XMLLiteral_decl,type,
uri_rdf_XMLLiteral: $i ).
thf(uri_owl_topObjectProperty_decl,type,
uri_owl_topObjectProperty: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(ioap_decl,type,
ioap: $i > $o ).
thf(uri_rdfs_seeAlso_decl,type,
uri_rdfs_seeAlso: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_hasKey_decl,type,
uri_owl_hasKey: $i ).
thf(uri_rdf_Property_decl,type,
uri_rdf_Property: $i ).
thf(ioxp_decl,type,
ioxp: $i > $o ).
thf(uri_owl_incompatibleWith_decl,type,
uri_owl_incompatibleWith: $i ).
thf(uri_owl_disjointUnionOf_decl,type,
uri_owl_disjointUnionOf: $i ).
thf(uri_owl_someValuesFrom_decl,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_AllDifferent_decl,type,
uri_owl_AllDifferent: $i ).
thf(uri_owl_members_decl,type,
uri_owl_members: $i ).
thf(uri_owl_unionOf_decl,type,
uri_owl_unionOf: $i ).
thf(uri_rdf_langRange_decl,type,
uri_rdf_langRange: $i ).
thf(uri_owl_maxQualifiedCardinality_decl,type,
uri_owl_maxQualifiedCardinality: $i ).
thf(literal_typed_decl,type,
literal_typed: $i > $i > $i ).
thf(dat_str_0_decl,type,
dat_str_0: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_owl_onDataRange_decl,type,
uri_owl_onDataRange: $i ).
thf(uri_owl_SymmetricProperty_decl,type,
uri_owl_SymmetricProperty: $i ).
thf(uri_owl_bottomDataProperty_decl,type,
uri_owl_bottomDataProperty: $i ).
thf(uri_xsd_length_decl,type,
uri_xsd_length: $i ).
thf(uri_xsd_maxInclusive_decl,type,
uri_xsd_maxInclusive: $i ).
thf(uri_owl_DataRange_decl,type,
uri_owl_DataRange: $i ).
thf(uri_owl_OntologyProperty_decl,type,
uri_owl_OntologyProperty: $i ).
thf(uri_xsd_minInclusive_decl,type,
uri_xsd_minInclusive: $i ).
thf(uri_owl_NegativePropertyAssertion_decl,type,
uri_owl_NegativePropertyAssertion: $i ).
thf(uri_rdfs_label_decl,type,
uri_rdfs_label: $i ).
thf(uri_xsd_maxExclusive_decl,type,
uri_xsd_maxExclusive: $i ).
thf(uri_owl_Axiom_decl,type,
uri_owl_Axiom: $i ).
thf(uri_rdfs_Class_decl,type,
uri_rdfs_Class: $i ).
thf(uri_owl_datatypeComplementOf_decl,type,
uri_owl_datatypeComplementOf: $i ).
thf(uri_owl_deprecated_decl,type,
uri_owl_deprecated: $i ).
thf(uri_owl_onDatatype_decl,type,
uri_owl_onDatatype: $i ).
thf(uri_owl_imports_decl,type,
uri_owl_imports: $i ).
thf(uri_owl_AnnotationProperty_decl,type,
uri_owl_AnnotationProperty: $i ).
thf(uri_owl_targetValue_decl,type,
uri_owl_targetValue: $i ).
thf(uri_owl_InverseFunctionalProperty_decl,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(uri_owl_TransitiveProperty_decl,type,
uri_owl_TransitiveProperty: $i ).
thf(uri_owl_equivalentProperty_decl,type,
uri_owl_equivalentProperty: $i ).
thf(uri_owl_versionInfo_decl,type,
uri_owl_versionInfo: $i ).
thf(dat_str_2_decl,type,
dat_str_2: $i ).
thf(uri_owl_AllDisjointProperties_decl,type,
uri_owl_AllDisjointProperties: $i ).
thf(uri_owl_versionIRI_decl,type,
uri_owl_versionIRI: $i ).
thf(uri_owl_FunctionalProperty_decl,type,
uri_owl_FunctionalProperty: $i ).
thf(uri_owl_intersectionOf_decl,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_allValuesFrom_decl,type,
uri_owl_allValuesFrom: $i ).
thf(uri_rdfs_Literal_decl,type,
uri_rdfs_Literal: $i ).
thf(uri_owl_minQualifiedCardinality_decl,type,
uri_owl_minQualifiedCardinality: $i ).
thf(uri_owl_differentFrom_decl,type,
uri_owl_differentFrom: $i ).
thf(uri_rdfs_isDefinedBy_decl,type,
uri_rdfs_isDefinedBy: $i ).
thf(uri_owl_oneOf_decl,type,
uri_owl_oneOf: $i ).
thf(dat_str_3_decl,type,
dat_str_3: $i ).
thf(uri_owl_qualifiedCardinality_decl,type,
uri_owl_qualifiedCardinality: $i ).
thf(uri_owl_priorVersion_decl,type,
uri_owl_priorVersion: $i ).
thf(uri_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(uri_xsd_positiveInteger_decl,type,
uri_xsd_positiveInteger: $i ).
thf(uri_owl_Nothing_decl,type,
uri_owl_Nothing: $i ).
thf(uri_owl_AllDisjointClasses_decl,type,
uri_owl_AllDisjointClasses: $i ).
thf(uri_owl_equivalentClass_decl,type,
uri_owl_equivalentClass: $i ).
thf(uri_owl_Ontology_decl,type,
uri_owl_Ontology: $i ).
thf(dat_str_1_decl,type,
dat_str_1: $i ).
thf(uri_owl_complementOf_decl,type,
uri_owl_complementOf: $i ).
thf(uri_owl_DatatypeProperty_decl,type,
uri_owl_DatatypeProperty: $i ).
thf(ix_decl,type,
ix: $i > $o ).
thf(uri_xsd_minExclusive_decl,type,
uri_xsd_minExclusive: $i ).
thf(uri_owl_NamedIndividual_decl,type,
uri_owl_NamedIndividual: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_owl_distinctMembers_decl,type,
uri_owl_distinctMembers: $i ).
thf(uri_owl_cardinality_decl,type,
uri_owl_cardinality: $i ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(uri_owl_topDataProperty_decl,type,
uri_owl_topDataProperty: $i ).
thf(uri_owl_bottomObjectProperty_decl,type,
uri_owl_bottomObjectProperty: $i ).
thf(uri_rdfs_comment_decl,type,
uri_rdfs_comment: $i ).
thf(uri_xsd_minLength_decl,type,
uri_xsd_minLength: $i ).
thf(uri_owl_propertyChainAxiom_decl,type,
uri_owl_propertyChainAxiom: $i ).
thf(uri_owl_DeprecatedProperty_decl,type,
uri_owl_DeprecatedProperty: $i ).
thf(uri_owl_backwardCompatibleWith_decl,type,
uri_owl_backwardCompatibleWith: $i ).
thf(uri_owl_assertionProperty_decl,type,
uri_owl_assertionProperty: $i ).
thf(uri_owl_maxCardinality_decl,type,
uri_owl_maxCardinality: $i ).
thf(uri_owl_hasSelf_decl,type,
uri_owl_hasSelf: $i ).
thf(uri_owl_withRestrictions_decl,type,
uri_owl_withRestrictions: $i ).
thf(uri_xsd_maxLength_decl,type,
uri_xsd_maxLength: $i ).
thf(uri_owl_DeprecatedClass_decl,type,
uri_owl_DeprecatedClass: $i ).
thf(uri_rdfs_Datatype_decl,type,
uri_rdfs_Datatype: $i ).
thf(uri_owl_annotatedTarget_decl,type,
uri_owl_annotatedTarget: $i ).
thf(uri_owl_IrreflexiveProperty_decl,type,
uri_owl_IrreflexiveProperty: $i ).
thf(uri_owl_minCardinality_decl,type,
uri_owl_minCardinality: $i ).
thf(uri_owl_inverseOf_decl,type,
uri_owl_inverseOf: $i ).
thf(uri_owl_disjointWith_decl,type,
uri_owl_disjointWith: $i ).
thf(uri_owl_annotatedProperty_decl,type,
uri_owl_annotatedProperty: $i ).
thf(uri_owl_annotatedSource_decl,type,
uri_owl_annotatedSource: $i ).
thf(uri_owl_AsymmetricProperty_decl,type,
uri_owl_AsymmetricProperty: $i ).
thf(uri_owl_hasValue_decl,type,
uri_owl_hasValue: $i ).
thf(uri_owl_sourceIndividual_decl,type,
uri_owl_sourceIndividual: $i ).
thf(uri_owl_propertyDisjointWith_decl,type,
uri_owl_propertyDisjointWith: $i ).
thf(uri_owl_targetIndividual_decl,type,
uri_owl_targetIndividual: $i ).
thf(uri_rdfs_domain_decl,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_predicate_decl,type,
uri_rdf_predicate: $i ).
thf(uri_rdfs_Statement_decl,type,
uri_rdfs_Statement: $i ).
thf(uri_rdf_List_decl,type,
uri_rdf_List: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_value_decl,type,
uri_rdf_value: $i ).
thf(uri_rdfs_range_decl,type,
uri_rdfs_range: $i ).
thf(uri_rdf__2_decl,type,
uri_rdf__2: $i ).
thf(uri_rdf__1_decl,type,
uri_rdf__1: $i ).
thf(uri_owl_IrreflexiveReflexiveProperty_decl,type,
uri_owl_IrreflexiveReflexiveProperty: $i ).
thf(uri_rdfs_Seq_decl,type,
uri_rdfs_Seq: $i ).
thf(uri_rdfs_Container_decl,type,
uri_rdfs_Container: $i ).
thf(uri_rdf_subject_decl,type,
uri_rdf_subject: $i ).
thf(uri_rdfs_subPropertyOf_decl,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_rdf_Bag_decl,type,
uri_rdf_Bag: $i ).
thf(uri_xml_nonNegativeInteger_decl,type,
uri_xml_nonNegativeInteger: $i ).
thf(uri_rdfs_member_decl,type,
uri_rdfs_member: $i ).
thf(uri_rdf_Alt_decl,type,
uri_rdf_Alt: $i ).
thf(uri_rdfs_ContainerMembershipProperty_decl,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(uri_rdf_object_decl,type,
uri_rdf_object: $i ).
thf(uri_rdf__3_decl,type,
uri_rdf__3: $i ).
thf(44,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_plainliteral) ).
thf(645,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(179,axiom,
uri_rdfs_isDefinedBy @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_type) ).
thf(1036,plain,
uri_rdfs_isDefinedBy @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(454,axiom,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(2452,plain,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(36,axiom,
uri_xsd_unsignedLong @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_type) ).
thf(629,plain,
uri_xsd_unsignedLong @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(173,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_set) ).
thf(1024,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(198,axiom,
uri_owl_Ontology @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_type) ).
thf(1190,plain,
uri_owl_Ontology @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(383,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetValue @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ( ~ ( D @ ( C @ ( B @ iext ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_if) ).
thf(2072,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetValue @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ( ~ ( D @ ( C @ ( B @ iext ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(119,axiom,
uri_owl_DataRange @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_type) ).
thf(846,plain,
uri_owl_DataRange @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(238,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_001) ).
thf(1315,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(190,axiom,
uri_owl_ObjectProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_type) ).
thf(1179,plain,
uri_owl_ObjectProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(374,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_003) ).
thf(1950,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(425,axiom,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
thf(2250,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_FunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(430,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
<=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(2295,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(436,axiom,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(2341,plain,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(394,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
=> ( ( B @ idc )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_ext) ).
thf(2109,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
=> ( ( B @ idc )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(398,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(2131,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(375,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
thf(1995,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(426,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(2263,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(146,axiom,
uri_owl_Annotation @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_type) ).
thf(909,plain,
uri_owl_Annotation @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(524,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
thf(2921,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_003) ).
thf(777,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ ( uri_xsd_long @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_int_long) ).
thf(555,plain,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ ( uri_xsd_long @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(54,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_boolean) ).
thf(666,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(353,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_type) ).
thf(1818,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(358,axiom,
! [A: $i] :
( ( A @ ioxp )
<=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_def) ).
thf(1882,plain,
! [A: $i] :
( ( ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioxp ) )
& ( ( A @ ioxp )
=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(420,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_000) ).
thf(2231,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(352,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
thf(1808,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(306,axiom,
uri_owl_NamedIndividual @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_type) ).
thf(1618,plain,
uri_owl_NamedIndividual @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(283,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_003) ).
thf(1422,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(489,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
<=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(2676,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(202,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_xmlliteral) ).
thf(1205,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(229,axiom,
uri_rdfs_Literal @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_type) ).
thf(1305,plain,
uri_rdfs_Literal @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_ext) ).
thf(861,plain,
! [A: $i] :
( ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(293,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_003) ).
thf(1486,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(356,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedSource @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_ext) ).
thf(1855,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedSource @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(200,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDifferent @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_ext) ).
thf(1200,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDifferent @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(367,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
thf(1924,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(416,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_000) ).
thf(2210,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(527,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_pattern @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_ext) ).
thf(2940,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_pattern @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(270,axiom,
uri_xsd_NCName @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_type) ).
thf(1406,plain,
uri_xsd_NCName @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(392,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_ext) ).
thf(2104,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(134,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_ext) ).
thf(878,plain,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ ( uri_xsd_int @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_short_int) ).
thf(655,plain,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ ( uri_xsd_int @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(413,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_000) ).
thf(2195,plain,
! [A: $i] :
( ( ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(348,axiom,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) )
<=> ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_irreflexive) ).
thf(1788,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) )
=> ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(321,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_ext) ).
thf(1655,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(549,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(3004,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(336,axiom,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).
thf(1735,plain,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(410,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_002) ).
thf(2184,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(76,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ ( uri_xsd_normalizedString @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_token_normalizedstring) ).
thf(715,plain,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ ( uri_xsd_normalizedString @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(92,axiom,
uri_owl_topObjectProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_type) ).
thf(747,plain,
uri_owl_topObjectProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(316,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_002) ).
thf(1640,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(522,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_imports @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_ext) ).
thf(2901,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_imports @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(289,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_xmlliteral) ).
thf(1458,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(220,axiom,
uri_owl_sameAs @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_type) ).
thf(1260,plain,
uri_owl_sameAs @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(68,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_datetime) ).
thf(698,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_boolean @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_ext) ).
thf(829,plain,
! [A: $i] :
( ( A @ ( uri_xsd_boolean @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(538,axiom,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(2972,plain,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(468,axiom,
! [A: $i] :
( ( A @ ix )
<=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_def) ).
thf(2548,plain,
! [A: $i] :
( ( ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ix ) )
& ( ( A @ ix )
=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(284,axiom,
uri_owl_hasValue @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_type) ).
thf(1441,plain,
uri_owl_hasValue @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(380,axiom,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(2020,plain,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(139,axiom,
uri_owl_imports @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_type) ).
thf(885,plain,
uri_owl_imports @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(302,axiom,
uri_owl_AsymmetricProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_type) ).
thf(1613,plain,
uri_owl_AsymmetricProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(335,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
thf(1724,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(447,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(2405,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(542,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(2985,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(419,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
thf(2227,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(378,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_def) ).
thf(2010,plain,
! [A: $i] :
( ( ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(370,axiom,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(1935,plain,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(519,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_label @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_ext) ).
thf(2886,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_label @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(250,axiom,
uri_owl_assertionProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_type) ).
thf(1359,plain,
uri_owl_assertionProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ ( uri_xsd_unsignedShort @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort) ).
thf(565,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ ( uri_xsd_unsignedShort @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(255,axiom,
uri_owl_members @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_type) ).
thf(1366,plain,
uri_owl_members @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(446,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] : ( D @ ( A @ icext ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_000) ).
thf(2400,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] : ( D @ ( A @ icext ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(510,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(2825,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(297,axiom,
uri_rdf_XMLLiteral @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_type) ).
thf(1529,plain,
uri_rdf_XMLLiteral @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(400,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
thf(2136,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(331,axiom,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(1703,plain,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(212,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_001) ).
thf(1228,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(309,axiom,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(1623,plain,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(291,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_ext) ).
thf(1482,plain,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(46,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_hexbinary) ).
thf(651,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(532,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_ext) ).
thf(2957,plain,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(483,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_000) ).
thf(2654,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(273,axiom,
uri_owl_IrreflexiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_type) ).
thf(1409,plain,
uri_owl_IrreflexiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(10,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_real) ).
thf(570,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(487,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(2667,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( ~ ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(501,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
thf(2755,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(236,axiom,
uri_rdfs_comment @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_type) ).
thf(1313,plain,
uri_rdfs_comment @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(287,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_ext) ).
thf(1455,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(492,axiom,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(2703,plain,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_real) ).
thf(619,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(114,axiom,
uri_xsd_length @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_type) ).
thf(838,plain,
uri_xsd_length @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(150,axiom,
uri_owl_hasKey @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_type) ).
thf(917,plain,
uri_owl_hasKey @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(95,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_002) ).
thf(751,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(521,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_cardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_ext) ).
thf(2897,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_cardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(199,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_001) ).
thf(1191,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(41,axiom,
uri_xsd_dateTime @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_type) ).
thf(638,plain,
uri_xsd_dateTime @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(360,axiom,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(1892,plain,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(332,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
thf(1704,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
=> ! [D: $i] :
( ( ( D @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(136,axiom,
uri_xsd_negativeInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_type) ).
thf(881,plain,
uri_xsd_negativeInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(526,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( D @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( B @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( D @ icext ) )
& ( G @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_003) ).
thf(2929,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( D @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( B @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( D @ icext ) )
& ( G @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(253,axiom,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(1362,plain,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(465,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_000) ).
thf(2533,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(26,axiom,
uri_xsd_token @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_type) ).
thf(606,plain,
uri_xsd_token @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(244,axiom,
uri_owl_propertyChainAxiom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_type) ).
thf(1347,plain,
uri_owl_propertyChainAxiom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(280,axiom,
uri_owl_backwardCompatibleWith @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_onto) ).
thf(1418,plain,
uri_owl_backwardCompatibleWith @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(516,axiom,
uri_owl_topObjectProperty @ ( uri_ex_p @ ( uri_owl_equivalentProperty @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).
thf(2880,plain,
uri_owl_topObjectProperty @ ( uri_ex_p @ ( uri_owl_equivalentProperty @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(525,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_ext) ).
thf(2925,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(326,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(1677,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(224,axiom,
uri_xsd_nonNegativeInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_type) ).
thf(1283,plain,
uri_xsd_nonNegativeInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(531,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(2950,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(277,axiom,
uri_owl_maxQualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_type) ).
thf(1415,plain,
uri_owl_maxQualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(63,axiom,
uri_xsd_string @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
thf(687,plain,
uri_xsd_string @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(368,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_ext) ).
thf(1928,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Annotation @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_ext) ).
thf(734,plain,
! [A: $i] :
( ( A @ ( uri_owl_Annotation @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(129,axiom,
uri_xsd_maxExclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_type) ).
thf(866,plain,
uri_xsd_maxExclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(98,axiom,
uri_owl_incompatibleWith @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_onto) ).
thf(774,plain,
uri_owl_incompatibleWith @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(262,axiom,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_ext) ).
thf(1394,plain,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(295,axiom,
uri_owl_propertyDisjointWith @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_type) ).
thf(1526,plain,
uri_owl_propertyDisjointWith @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(247,axiom,
uri_owl_Axiom @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_type) ).
thf(1351,plain,
uri_owl_Axiom @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(215,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_ext) ).
thf(1242,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(206,axiom,
uri_xsd_positiveInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_type) ).
thf(1215,plain,
uri_xsd_positiveInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(39,axiom,
uri_xsd_integer @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
thf(634,plain,
uri_xsd_integer @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(243,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_ext) ).
thf(1345,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(163,axiom,
uri_owl_AllDisjointProperties @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_type) ).
thf(988,plain,
uri_owl_AllDisjointProperties @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(391,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(2103,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(269,axiom,
uri_owl_qualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_type) ).
thf(1405,plain,
uri_owl_qualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(161,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(942,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(155,axiom,
uri_owl_equivalentProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_type) ).
thf(925,plain,
uri_owl_equivalentProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(230,axiom,
uri_owl_oneOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_type) ).
thf(1306,plain,
uri_owl_oneOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(441,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(2364,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(365,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_003) ).
thf(1915,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(497,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(2737,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(189,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D = C ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(1163,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(234,axiom,
uri_owl_InverseFunctionalProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
thf(1311,plain,
uri_owl_InverseFunctionalProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(432,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_backwardCompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_ext) ).
thf(2307,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_backwardCompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(484,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(2660,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(523,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(2905,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(444,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i] :
~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_002) ).
thf(2382,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i] :
~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(451,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_langRange @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_ext) ).
thf(2441,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_langRange @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(147,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_ext) ).
thf(910,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(473,axiom,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(2601,plain,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(242,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_ext) ).
thf(1343,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(424,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(2249,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(466,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_ext) ).
thf(2541,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(471,axiom,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(2596,plain,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(325,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(1676,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(340,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
~ ( ( F @ ( E @ ( D @ iext ) ) )
& ( F @ ( E @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_002) ).
thf(1751,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
~ ( ( F @ ( E @ ( D @ iext ) ) )
& ( F @ ( E @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
thf(561,plain,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(209,axiom,
uri_xsd_minExclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_type) ).
thf(1223,plain,
uri_xsd_minExclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(142,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AnnotationProperty @ icext ) )
<=> ( A @ ioap ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_ext) ).
thf(894,plain,
! [A: $i] :
( ( ( A @ ioap )
=> ( A @ ( uri_owl_AnnotationProperty @ icext ) ) )
& ( ( A @ ( uri_owl_AnnotationProperty @ icext ) )
=> ( A @ ioap ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(208,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Ontology @ icext ) )
<=> ( A @ ix ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_ext) ).
thf(1217,plain,
! [A: $i] :
( ( ( A @ ix )
=> ( A @ ( uri_owl_Ontology @ icext ) ) )
& ( ( A @ ( uri_owl_Ontology @ icext ) )
=> ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ ( uri_xsd_nonPositiveInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger) ).
thf(598,plain,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ ( uri_xsd_nonPositiveInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(66,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_plainliteral) ).
thf(693,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(37,axiom,
uri_xsd_unsignedInt @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_type) ).
thf(630,plain,
uri_xsd_unsignedInt @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(788,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(307,axiom,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(1619,plain,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(258,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedClass @ icext ) )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_ext) ).
thf(1370,plain,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedClass @ icext ) )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(543,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_ext) ).
thf(2986,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(107,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_000) ).
thf(815,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(449,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_002) ).
thf(2414,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(399,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
thf(2132,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(520,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_distinctMembers @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_003) ).
thf(2890,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_distinctMembers @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(452,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(2445,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(120,axiom,
uri_owl_onDataRange @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_type) ).
thf(847,plain,
uri_owl_onDataRange @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(254,axiom,
uri_owl_withRestrictions @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_type) ).
thf(1365,plain,
uri_owl_withRestrictions @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(34,axiom,
uri_xsd_decimal @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
thf(625,plain,
uri_xsd_decimal @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(511,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(2826,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(15,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_hexbinary) ).
thf(583,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(205,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_001) ).
thf(1210,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(175,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Literal @ icext ) )
<=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_ext) ).
thf(1027,plain,
! [A: $i] :
( ( ( A @ lv )
=> ( A @ ( uri_rdfs_Literal @ icext ) ) )
& ( ( A @ ( uri_rdfs_Literal @ icext ) )
=> ( A @ lv ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(498,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_001) ).
thf(2741,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(73,axiom,
uri_xsd_hexBinary @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_type) ).
thf(710,plain,
uri_xsd_hexBinary @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(117,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_ext) ).
thf(842,plain,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(482,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(2653,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(359,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_length @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_ext) ).
thf(1888,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_length @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(226,axiom,
uri_xsd_unsignedByte @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_type) ).
thf(1296,plain,
uri_xsd_unsignedByte @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(53,axiom,
uri_xsd_int @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_type) ).
thf(665,plain,
uri_xsd_int @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(328,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_003) ).
thf(1687,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(288,axiom,
uri_owl_DeprecatedClass @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_type) ).
thf(1457,plain,
uri_owl_DeprecatedClass @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(354,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(1819,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(310,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ lv )
& ( A @ iodp )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetValue @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_fi) ).
thf(1624,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ lv )
& ( A @ iodp )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetValue @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
thf(682,plain,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(271,axiom,
uri_rdf_Property @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_type) ).
thf(1407,plain,
uri_rdf_Property @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(267,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_hexBinary @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_ext) ).
thf(1402,plain,
! [A: $i] :
( ( A @ ( uri_xsd_hexBinary @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(89,axiom,
uri_owl_Thing @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(742,plain,
uri_owl_Thing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(403,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedTarget @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_ext) ).
thf(2157,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedTarget @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(544,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
thf(2990,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(505,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_001) ).
thf(2801,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(490,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_002) ).
thf(2685,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(30,axiom,
uri_xsd_float @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_type) ).
thf(615,plain,
uri_xsd_float @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(513,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_003) ).
thf(2841,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(539,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(2973,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(81,axiom,
uri_xsd_boolean @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_type) ).
thf(725,plain,
uri_xsd_boolean @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(324,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
thf(1672,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(19,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_datetime) ).
thf(593,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(131,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Class @ icext ) )
<=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).
thf(869,plain,
! [A: $i] :
( ( ( A @ ic )
=> ( A @ ( uri_rdfs_Class @ icext ) ) )
& ( ( A @ ( uri_rdfs_Class @ icext ) )
=> ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(28,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_double) ).
thf(610,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(479,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_000) ).
thf(2638,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(164,axiom,
uri_owl_versionIRI @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_type) ).
thf(989,plain,
uri_owl_versionIRI @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(264,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTime @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_ext) ).
thf(1397,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTime @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(251,axiom,
uri_owl_maxCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_type) ).
thf(1360,plain,
uri_owl_maxCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(423,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_ext) ).
thf(2245,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(246,axiom,
uri_owl_DeprecatedProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_type) ).
thf(1350,plain,
uri_owl_DeprecatedProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(371,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_withRestrictions @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_ext) ).
thf(1936,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_withRestrictions @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(327,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_ext) ).
thf(1683,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(187,axiom,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
thf(1160,plain,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(252,axiom,
uri_owl_hasSelf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_type) ).
thf(1361,plain,
uri_owl_hasSelf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(322,axiom,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
<=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_symmetric) ).
thf(1659,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_SymmetricProperty @ icext ) ) )
& ( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(548,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_priorVersion @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_ext) ).
thf(3000,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_priorVersion @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(159,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_003) ).
thf(933,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(192,axiom,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_ext) ).
thf(1182,plain,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ ( uri_xsd_Name @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_ncname_name) ).
thf(669,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ ( uri_xsd_Name @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(144,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Thing @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(901,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_owl_Thing @ icext ) ) )
& ( ( A @ ( uri_owl_Thing @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(457,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_000) ).
thf(2455,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(393,axiom,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(2108,plain,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(317,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_002) ).
thf(1644,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(339,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_distinctMembers @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_002) ).
thf(1744,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_distinctMembers @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(281,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_ext) ).
thf(1419,plain,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(1,conjecture,
uri_owl_ReflexiveProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).
thf(2,negated_conjecture,
~ ( uri_owl_ReflexiveProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(554,plain,
~ ( uri_owl_ReflexiveProperty @ ( uri_ex_p @ ( uri_rdf_type @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(470,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_003) ).
thf(2561,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(337,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_seeAlso @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_ext) ).
thf(1739,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_seeAlso @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(290,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_001) ).
thf(1461,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(385,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_002) ).
thf(2080,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(43,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_plainliteral) ).
thf(642,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(170,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( A @ ( uri_rdfs_Resource @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(1016,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Resource @ icext ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( A @ ( uri_rdfs_Resource @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(18,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_float) ).
thf(590,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(481,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_inst) ).
thf(2649,plain,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(59,axiom,
uri_rdf_PlainLiteral @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_type) ).
thf(679,plain,
uri_rdf_PlainLiteral @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_real) ).
thf(622,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(355,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_003) ).
thf(1825,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(183,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_lv) ).
thf(1099,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(69,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_plainliteral) ).
thf(701,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(227,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DatatypeProperty @ icext ) )
<=> ( A @ iodp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_ext) ).
thf(1297,plain,
! [A: $i] :
( ( ( A @ iodp )
=> ( A @ ( uri_owl_DatatypeProperty @ icext ) ) )
& ( ( A @ ( uri_owl_DatatypeProperty @ icext ) )
=> ( A @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonnegativeinteger_integer) ).
thf(738,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(298,axiom,
uri_rdfs_Datatype @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).
thf(1530,plain,
uri_rdfs_Datatype @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(47,axiom,
uri_owl_rational @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_type) ).
thf(654,plain,
uri_owl_rational @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(323,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_ext) ).
thf(1668,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(369,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] : ( D @ ( A @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_000) ).
thf(1932,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] : ( D @ ( A @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(350,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(1799,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(506,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(2813,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(460,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(2482,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(550,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(3005,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(294,axiom,
uri_owl_sourceIndividual @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_type) ).
thf(1525,plain,
uri_owl_sourceIndividual @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(25,axiom,
uri_xsd_short @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_type) ).
thf(605,plain,
uri_xsd_short @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(342,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_deprecated @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_ext) ).
thf(1759,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_deprecated @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(261,axiom,
uri_owl_annotatedTarget @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_type) ).
thf(1393,plain,
uri_owl_annotatedTarget @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(153,axiom,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_ext) ).
thf(921,plain,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(49,axiom,
uri_xsd_anyURI @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_type) ).
thf(657,plain,
uri_xsd_anyURI @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(178,axiom,
uri_owl_differentFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_type) ).
thf(1035,plain,
uri_owl_differentFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(5,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_double) ).
thf(558,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(418,axiom,
! [A: $i] :
( ( A @ ioap )
<=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_def) ).
thf(2221,plain,
! [A: $i] :
( ( ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioap ) )
& ( ( A @ ioap )
=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(174,axiom,
uri_rdfs_Resource @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_type) ).
thf(1026,plain,
uri_rdfs_Resource @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(486,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_001) ).
thf(2662,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(16,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
thf(586,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(156,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_float @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_ext) ).
thf(926,plain,
! [A: $i] :
( ( A @ ( uri_xsd_float @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(201,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_owl_real @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_real_xmlliteral) ).
thf(1202,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_owl_real @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(415,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) )
<=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).
thf(2203,plain,
! [A: $i,B: $i] :
( ( ( ( B @ lv )
& ( A @ ir ) )
=> ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(214,axiom,
uri_owl_distinctMembers @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_type) ).
thf(1241,plain,
uri_owl_distinctMembers @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(491,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(2702,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(384,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
thf(2076,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(499,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomObjectProperty @ iext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_ext) ).
thf(2748,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomObjectProperty @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(195,axiom,
uri_owl_NegativePropertyAssertion @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_type) ).
thf(1187,plain,
uri_owl_NegativePropertyAssertion @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ ( uri_xsd_unsignedLong @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedint_unsignedlong) ).
thf(674,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ ( uri_xsd_unsignedLong @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(480,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_000) ).
thf(2645,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(304,axiom,
uri_owl_targetIndividual @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_type) ).
thf(1616,plain,
uri_owl_targetIndividual @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(546,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_ext) ).
thf(2995,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(464,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_ext) ).
thf(2529,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(52,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_double) ).
thf(662,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(319,axiom,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(1648,plain,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(94,axiom,
uri_rdfs_seeAlso @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_type) ).
thf(750,plain,
uri_rdfs_seeAlso @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(329,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_ext) ).
thf(1698,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_ext) ).
thf(856,plain,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_ext) ).
thf(745,plain,
! [A: $i] :
( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(474,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ~ ( D @ ( C @ ( B @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_if) ).
thf(2602,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ~ ( D @ ( C @ ( B @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(496,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( G @ lv )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_003) ).
thf(2734,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( G @ lv )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(11,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_plainliteral) ).
thf(573,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(312,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_def) ).
thf(1631,plain,
! [A: $i] :
( ( ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_datetimestamp_datetime) ).
thf(601,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(397,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_002) ).
thf(2121,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(421,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_def) ).
thf(2235,plain,
! [A: $i] :
( ( ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(218,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Class @ icext ) )
<=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).
thf(1251,plain,
! [A: $i] :
( ( ( A @ ic )
=> ( A @ ( uri_owl_Class @ icext ) ) )
& ( ( A @ ( uri_owl_Class @ icext ) )
=> ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(344,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_001) ).
thf(1764,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(186,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( A @ ( uri_rdfs_Class @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(1154,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Class @ icext ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( A @ ( uri_rdfs_Class @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(495,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
thf(2727,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_set) ).
thf(732,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(347,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
thf(1784,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(308,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_003) ).
thf(1620,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(379,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_comment @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_ext) ).
thf(2016,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_comment @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_ext) ).
thf(743,plain,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(162,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_002) ).
thf(958,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(349,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_ext) ).
thf(1795,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(507,axiom,
uri_owl_ReflexiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_type) ).
thf(2817,plain,
uri_owl_ReflexiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(211,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_ext) ).
thf(1226,plain,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(533,axiom,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(2959,plain,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(132,axiom,
uri_owl_datatypeComplementOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_type) ).
thf(875,plain,
uri_owl_datatypeComplementOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_ext) ).
thf(826,plain,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(13,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_hexbinary) ).
thf(577,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(74,axiom,
uri_xsd_long @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_type) ).
thf(711,plain,
uri_xsd_long @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(404,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetValue @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_ext) ).
thf(2161,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetValue @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(235,axiom,
uri_owl_bottomObjectProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_type) ).
thf(1312,plain,
uri_owl_bottomObjectProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(70,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_hexbinary) ).
thf(704,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(363,axiom,
! [A: $i] :
( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(1897,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(152,axiom,
! [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(919,plain,
! [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(314,axiom,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(1638,plain,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(210,axiom,
! [A: $i] :
( ( A @ ( uri_owl_NamedIndividual @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_ext) ).
thf(1224,plain,
! [A: $i] :
( ( A @ ( uri_owl_NamedIndividual @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(438,axiom,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_inst) ).
thf(2346,plain,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(433,axiom,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_inst) ).
thf(2311,plain,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(204,axiom,
uri_owl_DatatypeProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_type) ).
thf(1209,plain,
uri_owl_DatatypeProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(143,axiom,
uri_owl_targetValue @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_type) ).
thf(900,plain,
uri_owl_targetValue @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(111,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_ext) ).
thf(831,plain,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(272,axiom,
uri_owl_annotatedProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_type) ).
thf(1408,plain,
uri_owl_annotatedProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(417,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) )
<=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_ext) ).
thf(2214,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ir )
& ( A @ ir ) )
=> ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(362,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomDataProperty @ iext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).
thf(1894,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomDataProperty @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(478,axiom,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(2637,plain,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(85,axiom,
uri_owl_onClass @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_type) ).
thf(736,plain,
uri_owl_onClass @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(388,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_ext) ).
thf(2097,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(9,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_real) ).
thf(567,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(86,axiom,
uri_xsd_pattern @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_type) ).
thf(737,plain,
uri_xsd_pattern @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(31,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_float) ).
thf(616,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(443,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_ext) ).
thf(2378,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(231,axiom,
uri_owl_TransitiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_type) ).
thf(1307,plain,
uri_owl_TransitiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(127,axiom,
uri_rdfs_label @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_type) ).
thf(863,plain,
uri_rdfs_label @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(223,axiom,
uri_rdfs_Class @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).
thf(1282,plain,
uri_rdfs_Class @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(459,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_ext) ).
thf(2478,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(165,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_ext) ).
thf(990,plain,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(168,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(996,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(428,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
thf(2284,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(135,axiom,
uri_owl_deprecated @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_type) ).
thf(880,plain,
uri_owl_deprecated @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(351,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i] :
~ ( ( E @ ( D @ icext ) )
& ( E @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_002) ).
thf(1801,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i] :
~ ( ( E @ ( D @ icext ) )
& ( E @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(408,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ lv )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_001) ).
thf(2180,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ lv )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(509,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(2824,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(104,axiom,
uri_rdf_langRange @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_type) ).
thf(811,plain,
uri_rdf_langRange @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(38,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_datetime) ).
thf(631,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(239,axiom,
uri_owl_AnnotationProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_type) ).
thf(1339,plain,
uri_owl_AnnotationProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(124,axiom,
uri_xsd_minInclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_type) ).
thf(858,plain,
uri_xsd_minInclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(453,axiom,
! [A: $i] :
( ( A @ iodp )
<=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
thf(2446,plain,
! [A: $i] :
( ( ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ iodp ) )
& ( ( A @ iodp )
=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_ext) ).
thf(848,plain,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(551,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_001) ).
thf(3006,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(171,axiom,
uri_owl_unionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_type) ).
thf(1022,plain,
uri_owl_unionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(540,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(2974,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(188,axiom,
uri_owl_priorVersion @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_annot) ).
thf(1162,plain,
uri_owl_priorVersion @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Resource @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_ext) ).
thf(726,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_rdfs_Resource @ icext ) ) )
& ( ( A @ ( uri_rdfs_Resource @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(35,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_boolean) ).
thf(626,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(149,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_ext) ).
thf(915,plain,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(148,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_xmlliteral) ).
thf(912,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(263,axiom,
uri_owl_minCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_type) ).
thf(1396,plain,
uri_owl_minCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(439,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).
thf(2350,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(406,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
thf(2171,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_Property @ icext ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_ext) ).
thf(768,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( A @ ( uri_rdf_Property @ icext ) ) )
& ( ( A @ ( uri_rdf_Property @ icext ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(138,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_ext) ).
thf(883,plain,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(389,axiom,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(2101,plain,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(50,axiom,
uri_xsd_nonPositiveInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_type) ).
thf(658,plain,
uri_xsd_nonPositiveInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(504,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDatatype @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_ext) ).
thf(2797,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDatatype @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_language_token) ).
thf(563,plain,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(477,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_ext) ).
thf(2633,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(382,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_003) ).
thf(2022,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(536,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_ext) ).
thf(2967,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(217,axiom,
uri_owl_cardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_type) ).
thf(1250,plain,
uri_owl_cardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(547,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(2999,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(402,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(2156,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(276,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_base64Binary @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_ext) ).
thf(1413,plain,
! [A: $i] :
( ( A @ ( uri_xsd_base64Binary @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(552,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_ext) ).
thf(3009,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(79,axiom,
uri_xsd_Name @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_type) ).
thf(722,plain,
uri_xsd_Name @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(177,axiom,
uri_owl_minQualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_type) ).
thf(1034,plain,
uri_owl_minQualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(341,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(1758,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(545,axiom,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(2994,plain,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ ( uri_xsd_unsignedInt @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedshort_unsignedint) ).
thf(680,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ ( uri_xsd_unsignedInt @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(45,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_real) ).
thf(648,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(105,axiom,
uri_owl_AllDifferent @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_type) ).
thf(812,plain,
uri_owl_AllDifferent @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(414,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(2202,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(240,axiom,
uri_owl_priorVersion @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_onto) ).
thf(1340,plain,
uri_owl_priorVersion @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(435,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_000) ).
thf(2333,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(472,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_isDefinedBy @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_ext) ).
thf(2597,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_isDefinedBy @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(113,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_ext) ).
thf(836,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(203,axiom,
uri_owl_complementOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_type) ).
thf(1208,plain,
uri_owl_complementOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(17,axiom,
uri_owl_real @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_type) ).
thf(589,plain,
uri_owl_real @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(100,axiom,
uri_owl_someValuesFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_type) ).
thf(776,plain,
uri_owl_someValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(14,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_plainliteral) ).
thf(580,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(485,axiom,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(2661,plain,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(141,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_002) ).
thf(887,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(318,axiom,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(1647,plain,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(448,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_000) ).
thf(2407,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(299,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_003) ).
thf(1531,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(292,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_ext) ).
thf(1484,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(518,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_ext) ).
thf(2882,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(167,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_xmlliteral) ).
thf(993,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(75,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_hexbinary) ).
thf(712,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(4,axiom,
uri_xsd_normalizedString @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_type) ).
thf(557,plain,
uri_xsd_normalizedString @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(65,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_real) ).
thf(690,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(514,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(2863,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(338,axiom,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(1743,plain,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(266,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_ext) ).
thf(1400,plain,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(71,axiom,
uri_xsd_double @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_type) ).
thf(707,plain,
uri_xsd_double @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(257,axiom,
! [A: $i] :
( ( A @ ( uri_owl_real @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_ext) ).
thf(1368,plain,
! [A: $i] :
( ( A @ ( uri_owl_real @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(407,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(2175,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(386,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i,G: $i] :
~ ( ( G @ ( F @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_002) ).
thf(2092,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i,G: $i] :
~ ( ( G @ ( F @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(456,axiom,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(2454,plain,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(405,axiom,
! [A: $i] :
( ( A @ idc )
<=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_def) ).
thf(2165,plain,
! [A: $i] :
( ( ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ idc ) )
& ( ( A @ idc )
=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(313,axiom,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(1637,plain,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(77,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_plainliteral) ).
thf(717,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(116,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_ext) ).
thf(840,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(222,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F = E )
| ( F = C ) ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_002) ).
thf(1262,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F = E )
| ( F = C ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F = E )
| ( F = C ) ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F = E )
| ( F = C ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F = E )
| ( F = C ) ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(427,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( E @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_003) ).
thf(2276,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( E @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(343,axiom,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(1763,plain,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(12,axiom,
uri_xsd_unsignedShort @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_type) ).
thf(576,plain,
uri_xsd_unsignedShort @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(458,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
thf(2468,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(196,axiom,
uri_owl_AllDisjointClasses @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_type) ).
thf(1188,plain,
uri_owl_AllDisjointClasses @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(194,axiom,
uri_owl_Nothing @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_type) ).
thf(1186,plain,
uri_owl_Nothing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(467,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_001) ).
thf(2545,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(103,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral) ).
thf(808,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(440,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).
thf(2354,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(145,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger) ).
thf(907,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(529,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(2948,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(219,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral) ).
thf(1257,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(395,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_datatypecomplementof) ).
thf(2113,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ! [C: $i] :
( ( ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(172,axiom,
uri_owl_allValuesFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_type) ).
thf(1023,plain,
uri_owl_allValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(330,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(1702,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
thf(613,plain,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(22,axiom,
uri_xsd_base64Binary @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_type) ).
thf(600,plain,
uri_xsd_base64Binary @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(128,axiom,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_set) ).
thf(864,plain,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(530,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(2949,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(259,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
<=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).
thf(1372,plain,
! [A: $i] :
( ( ( A @ idc )
=> ( A @ ( uri_rdfs_Datatype @ icext ) ) )
& ( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(133,axiom,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(876,plain,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(125,axiom,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
thf(859,plain,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(488,axiom,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(2675,plain,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(268,axiom,
uri_owl_disjointWith @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_type) ).
thf(1404,plain,
uri_owl_disjointWith @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(249,axiom,
uri_owl_backwardCompatibleWith @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_annot) ).
thf(1358,plain,
uri_owl_backwardCompatibleWith @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(225,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_001) ).
thf(1284,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(541,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(2975,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(213,axiom,
uri_owl_Class @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).
thf(1240,plain,
uri_owl_Class @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(305,axiom,
uri_owl_incompatibleWith @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_annot) ).
thf(1617,plain,
uri_owl_incompatibleWith @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(372,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_001) ).
thf(1940,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(282,axiom,
uri_owl_OntologyProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_type) ).
thf(1421,plain,
uri_owl_OntologyProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(56,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_base64Binary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_base64binary) ).
thf(671,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_base64Binary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ ( uri_xsd_short @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_byte_short) ).
thf(688,plain,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ ( uri_xsd_short @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(275,axiom,
uri_owl_SymmetricProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_type) ).
thf(1412,plain,
uri_owl_SymmetricProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(366,axiom,
! [A: $i] :
( ( A @ ip )
<=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_def) ).
thf(1918,plain,
! [A: $i] :
( ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) )
& ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(320,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_000) ).
thf(1649,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(508,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
thf(2818,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(191,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_ext) ).
thf(1180,plain,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(346,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(1781,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(207,axiom,
uri_owl_Restriction @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_type) ).
thf(1216,plain,
uri_owl_Restriction @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(411,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_ext) ).
thf(2187,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(197,axiom,
uri_owl_equivalentClass @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
thf(1189,plain,
uri_owl_equivalentClass @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(431,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(2305,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(437,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_incompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_ext) ).
thf(2342,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_incompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(118,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_cond_set) ).
thf(844,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(286,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_ext) ).
thf(1453,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(315,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(1639,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(364,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_001) ).
thf(1903,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(469,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
thf(2554,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(181,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(1062,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(184,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_002) ).
thf(1101,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(537,axiom,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(2971,plain,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(216,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ObjectProperty @ icext ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).
thf(1244,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( A @ ( uri_owl_ObjectProperty @ icext ) ) )
& ( ( A @ ( uri_owl_ObjectProperty @ icext ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(401,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
thf(2152,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_double @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_ext) ).
thf(813,plain,
! [A: $i] :
( ( A @ ( uri_xsd_double @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(334,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] : ( C @ ( A @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_000) ).
thf(1721,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] : ( C @ ( A @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(241,axiom,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_cond_set) ).
thf(1341,plain,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Restriction @ icext ) )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
thf(748,plain,
! [A: $i] :
( ( A @ ( uri_owl_Restriction @ icext ) )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(311,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(1629,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(376,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(2004,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(528,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_ext) ).
thf(2944,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(377,axiom,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(2009,plain,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(345,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_ext) ).
thf(1777,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(158,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_002) ).
thf(929,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(232,axiom,
uri_xsd_byte @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_type) ).
thf(1308,plain,
uri_xsd_byte @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(182,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_003) ).
thf(1077,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(409,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(2183,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(396,axiom,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(2120,plain,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(434,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_003) ).
thf(2315,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(303,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger) ).
thf(1614,plain,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(387,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(2095,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(62,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_float) ).
thf(684,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(361,axiom,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(1893,plain,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(233,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_ext) ).
thf(1309,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(463,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_002) ).
thf(2494,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(285,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_000) ).
thf(1442,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(429,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(2287,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(390,axiom,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(2102,plain,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(445,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_003) ).
thf(2385,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(475,axiom,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
thf(2604,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_TransitiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(228,axiom,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_inst) ).
thf(1303,plain,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(130,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Axiom @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_ext) ).
thf(867,plain,
! [A: $i] :
( ( A @ ( uri_owl_Axiom @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_long_integer) ).
thf(603,plain,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(442,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_000) ).
thf(2374,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(245,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_ext) ).
thf(1348,plain,
! [A: $i] :
( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(112,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_xmlliteral) ).
thf(833,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(494,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_003) ).
thf(2719,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(296,axiom,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_ext) ).
thf(1527,plain,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(185,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DataRange @ icext ) )
<=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_ext) ).
thf(1148,plain,
! [A: $i] :
( ( ( A @ idc )
=> ( A @ ( uri_owl_DataRange @ icext ) ) )
& ( ( A @ ( uri_owl_DataRange @ icext ) )
=> ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(357,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_002) ).
thf(1859,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(500,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_ext) ).
thf(2751,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(151,axiom,
uri_xsd_NMTOKEN @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_type) ).
thf(918,plain,
uri_xsd_NMTOKEN @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(237,axiom,
uri_xsd_minLength @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_type) ).
thf(1314,plain,
uri_xsd_minLength @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(493,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [B: $i] :
( ( B @ ( A @ icext ) )
<=> ( B @ ir ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_000) ).
thf(2704,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(109,axiom,
uri_owl_bottomDataProperty @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_type) ).
thf(828,plain,
uri_owl_bottomDataProperty @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_name_token) ).
thf(696,plain,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonpositiveinteger_integer) ).
thf(720,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(274,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_ext) ).
thf(1410,plain,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(96,axiom,
uri_xsd_dateTimeStamp @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_type) ).
thf(767,plain,
uri_xsd_dateTimeStamp @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(450,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_002) ).
thf(2417,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(176,axiom,
uri_owl_intersectionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_type) ).
thf(1033,plain,
uri_owl_intersectionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(534,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_distinctMembers @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_001) ).
thf(2961,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_distinctMembers @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(333,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( D @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( D @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_003) ).
thf(1710,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( D @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( D @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(40,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_hexbinary) ).
thf(635,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(503,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(2795,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(381,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_value_type) ).
thf(2021,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(301,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_xmlliteral) ).
thf(1610,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(140,axiom,
uri_owl_onProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_type) ).
thf(886,plain,
uri_owl_onProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(157,axiom,
uri_owl_versionInfo @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_type) ).
thf(928,plain,
uri_owl_versionInfo @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(115,axiom,
uri_xsd_maxInclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_type) ).
thf(839,plain,
uri_xsd_maxInclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(88,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_anyURI @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_ext) ).
thf(740,plain,
! [A: $i] :
( ( A @ ( uri_xsd_anyURI @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(422,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_ext) ).
thf(2241,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(248,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( A @ ( uri_rdfs_Literal @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(1352,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Literal @ icext ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( A @ ( uri_rdfs_Literal @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(221,axiom,
uri_owl_topDataProperty @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_type) ).
thf(1261,plain,
uri_owl_topDataProperty @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(535,axiom,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(2966,plain,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(462,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
<=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_asymmetric) ).
thf(2485,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_AsymmetricProperty @ icext ) ) )
& ( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(166,axiom,
uri_owl_FunctionalProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_type) ).
thf(992,plain,
uri_owl_FunctionalProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ ( uri_xsd_string @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_normalizedstring_string) ).
thf(723,plain,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ ( uri_xsd_string @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ ( uri_owl_OntologyProperty @ icext ) )
<=> ( A @ ioxp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_ext) ).
thf(850,plain,
! [A: $i] :
( ( ( A @ ioxp )
=> ( A @ ( uri_owl_OntologyProperty @ icext ) ) )
& ( ( A @ ( uri_owl_OntologyProperty @ icext ) )
=> ( A @ ioxp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(300,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_001) ).
thf(1597,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(461,axiom,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(2484,plain,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(265,axiom,
uri_owl_inverseOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_type) ).
thf(1399,plain,
uri_owl_inverseOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(27,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_float) ).
thf(607,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
thf(596,plain,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(260,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_002) ).
thf(1378,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(553,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionIRI @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_ext) ).
thf(3013,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionIRI @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(515,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(2879,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(517,axiom,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(2881,plain,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(373,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_fi) ).
thf(1945,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(154,axiom,
? [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_cond_set) ).
thf(923,plain,
? [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(193,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_ext) ).
thf(1184,plain,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(51,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_real) ).
thf(659,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(278,axiom,
uri_xsd_language @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_type) ).
thf(1416,plain,
uri_xsd_language @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(42,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_double) ).
thf(639,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(455,axiom,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(2453,plain,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(512,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
<=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_reflexive) ).
thf(2834,plain,
! [A: $i] :
( ( ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_ReflexiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(412,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionInfo @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_ext) ).
thf(2191,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionInfo @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nmtoken_token) ).
thf(708,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(137,axiom,
uri_owl_onDatatype @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_type) ).
thf(882,plain,
uri_owl_onDatatype @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(256,axiom,
uri_xsd_maxLength @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_type) ).
thf(1367,plain,
uri_xsd_maxLength @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(160,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_ext) ).
thf(940,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(180,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H = G )
| ( H = E )
| ( H = C ) ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_003) ).
thf(1037,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H = G )
| ( H = E )
| ( H = C ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H = G )
| ( H = E )
| ( H = C ) ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H = G )
| ( H = E )
| ( H = C ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H = G )
| ( H = E )
| ( H = C ) ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(99,axiom,
uri_owl_disjointUnionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_type) ).
thf(775,plain,
uri_owl_disjointUnionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(476,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_001) ).
thf(2615,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(58,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_float) ).
thf(676,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(169,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_set) ).
thf(1014,plain,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(279,axiom,
uri_owl_annotatedSource @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_type) ).
thf(1417,plain,
uri_owl_annotatedSource @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(502,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_002) ).
thf(2771,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(10602,plain,
$false,
inference(e,[status(thm)],[645,1036,2452,629,1024,1190,2072,846,1315,1179,1950,2250,2295,2341,2109,2131,1995,2263,909,2921,777,555,666,1818,1882,2231,1808,1618,1422,2676,1205,1305,861,1486,1855,1200,1924,2210,2940,1406,2104,878,655,2195,1788,1655,3004,1735,2184,715,747,1640,2901,1458,1260,698,829,2972,2548,1441,2020,885,1613,1724,2405,2985,2227,2010,1935,2886,1359,565,1366,2400,2825,1529,2136,1703,1228,1623,1482,651,2957,2654,1409,570,2667,2755,1313,1455,2703,619,838,917,751,2897,1191,638,1892,1704,881,2929,1362,2533,606,1347,1418,2880,2925,1677,1283,2950,1415,687,1928,734,866,774,1394,1526,1351,1242,1215,634,1345,988,2103,1405,942,925,1306,2364,1915,2737,1163,1311,2307,2660,2905,2382,2441,910,2601,1343,2249,2541,2596,1676,1751,561,1223,894,1217,598,693,630,788,1619,1370,2986,815,2414,2132,2890,2445,847,1365,625,2826,583,1210,1027,2741,710,842,2653,1888,1296,665,1687,1457,1819,1624,682,1407,1402,742,2157,2990,2801,2685,615,2841,2973,725,1672,593,869,610,2638,989,1397,1360,2245,1350,1936,1683,1160,1361,1659,3000,933,1182,669,901,2455,2108,1644,1744,1419,554,2561,1739,1461,2080,642,1016,590,2649,679,622,1825,1099,701,1297,738,1530,654,1668,1932,1799,2813,2482,3005,1525,605,1759,1393,921,657,1035,558,2221,1026,2662,586,926,1202,2203,1241,2702,2076,2748,1187,674,2645,1616,2995,2529,662,1648,750,1698,856,745,2602,2734,573,1631,601,2121,2235,1251,1764,1154,2727,732,1784,1620,2016,743,958,1795,2817,1226,2959,875,826,577,711,2161,1312,704,1897,919,1638,1224,2346,2311,1209,900,831,1408,2214,1894,2637,736,2097,567,737,616,2378,1307,863,1282,2478,990,996,2284,880,1801,2180,2824,811,631,1339,858,2446,848,3006,1022,2974,1162,726,626,915,912,1396,2350,2171,768,883,2101,658,2797,563,2633,2022,2967,1250,2999,2156,1413,3009,722,1034,1758,2994,680,648,812,2202,1340,2333,2597,836,1208,589,776,580,2661,887,1647,2407,1531,1484,2882,993,712,557,690,2863,1743,1400,707,1368,2175,2092,2454,2165,1637,717,840,1262,2276,1763,576,2468,1188,1186,2545,808,2354,907,2948,1257,2113,1023,1702,613,600,864,2949,1372,876,859,2675,1404,1358,1284,2975,1240,1617,1940,1421,671,688,1412,1918,1649,2818,1180,1781,1216,2187,1189,2305,2342,844,1453,1639,1903,2554,1062,1101,2971,1244,2152,813,1721,1341,748,1629,2004,2944,2009,1777,929,1308,1077,2183,2120,2315,1614,2095,684,1893,1309,2494,1442,2287,2102,2385,2604,1303,867,603,2374,1348,833,2719,1527,1148,1859,2751,918,1314,2704,828,696,720,1410,767,2417,1033,2961,1710,635,2795,2021,1610,886,928,839,740,2241,1352,1261,2966,2485,992,723,850,1597,2484,1399,607,596,1378,3013,2879,2881,1945,923,1184,659,1416,639,2453,2834,2191,708,882,1367,940,1037,775,2615,676,1014,1417,2771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 11:55:32 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.84/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.80/1.35 % [INFO] Parsing done (359ms).
% 1.80/1.36 % [INFO] Running in sequential loop mode.
% 2.85/1.76 % [INFO] eprover registered as external prover.
% 2.85/1.77 % [INFO] Scanning for conjecture ...
% 3.35/1.93 % [INFO] Found a conjecture (or negated_conjecture) and 559 axioms. Running axiom selection ...
% 3.83/2.11 % [INFO] Axiom selection finished. Selected 551 axioms (removed 8 axioms).
% 5.04/2.47 % [INFO] Problem is first-order (TPTP FOF).
% 5.43/2.51 % [INFO] Type checking passed.
% 5.43/2.51 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 50.60/12.09 % External prover 'e' found a proof!
% 50.60/12.10 % [INFO] Killing All external provers ...
% 50.60/12.10 % Time passed: 11551ms (effective reasoning time: 10728ms)
% 50.60/12.10 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 50.60/12.11 % Axioms used in derivation (551): owl_prop_sourceindividual_ext, rdfs_range_range, owl_class_datatypeproperty_ext, owl_bool_unionof_dtype_001, owl_ndis_alldisjointproperties_fi_000, rdfs_reification_subject_domain, owl_dat_facet_maxlength_ext, rdf_value_type, rdfs_container_containermembershipproperty_instsub_member, rdfs_reification_subject_range, owl_class_namedindividual_type, owl_dat_dtype_ncname_type, owl_class_classowl_ext, owl_dat_dtype_relation_disjoint_float_xmlliteral, owl_restrict_maxcard_003, owl_class_namedindividual_ext, owl_dat_dtype_double_type, owl_prop_priorversion_type_onto, owl_prop_unionof_ext, rdfs_subclassof_range, owl_rdfsext_subpropertyof, owl_dat_dtype_int_ext, rdfs_subpropertyof_domain, owl_prop_complementof_ext, rdfs_container_n_range_001, owl_prop_onproperty_type, owl_dat_dtype_relation_subtype_normalizedstring_string, owl_rdfsext_domain, owl_class_classrdfs_type, owl_dat_dtype_relation_disjoint_datetime_plainliteral, rdfs_subclassof_reflex, owl_dat_dtype_relation_disjoint_anyuri_boolean, owl_dat_dtype_decimal_type, owl_dat_dtype_string_ext, owl_restrict_minqcr_data_003, owl_dat_facet_maxlength_type, owl_restrict_exactcard_002, owl_dat_dtype_relation_disjoint_boolean_float, owl_class_alldisjointproperties_type, owl_enum_dtype_003, owl_key_002, owl_dat_facet_pattern_type, owl_prop_intersectionof_ext, rdfs_subpropertyof_trans, owl_dat_dtype_relation_subtype_string_plainliteral, owl_dat_dtype_plainliteral_type, owl_prop_hasvalue_type, owl_prop_bottomobjectproperty_type, owl_chain_001, rdfs_container_alt_sub, rdfs_container_n_domain_001, owl_parts_ip_cond_set, rdfs_container_bag_sub, owl_class_ontologyproperty_type, owl_class_thing_type, owl_inv, rdf_reification_subject_type, owl_prop_annotatedproperty_type, owl_restrict_exactqcr_object_003, owl_dat_dtype_datetimestamp_type, owl_ndis_alldifferent_members_fi_000, owl_prop_disjointwith_ext, rdfs_reification_object_domain, owl_dat_dtype_byte_ext, owl_ndis_alldifferent_distinctmembers_fi_001, owl_restrict_hasself, owl_prop_imports_ext, owl_char_reflexive, owl_dat_dtype_ncname_ext, owl_restrict_maxqcr_object_002, owl_dat_dtype_relation_disjoint_base64binary_real, owl_chain_002, owl_parts_ioap_cond_set, owl_char_transitive, owl_dat_dtype_base64binary_ext, owl_restrict_mincard_003, owl_eqdis_disjointunionof_002, owl_prop_cardinality_type, owl_dat_dtype_relation_disjoint_datetime_real, owl_dat_facet_minexclusive_type, owl_dat_dtype_relation_disjoint_base64binary_boolean, rdfs_range_domain, owl_dat_facet_maxexclusive_ext, owl_dat_dtype_relation_subtype_int_long, owl_class_restriction_type, owl_restrict_minqcr_object_000, owl_dat_dtype_positiveinteger_type, owl_npa_data_fi, owl_bool_intersectionof_class_000, owl_chain_000, rdfs_container_n_domain_002, owl_prop_topobjectproperty_ext, owl_dat_facet_length_ext, rdf_container_n_type_001, owl_dat_dtype_anyuri_type, owl_prop_label_ext, owl_dat_dtype_plainliteral_ext, owl_dat_dtype_relation_subtype_long_integer, owl_ndis_alldifferent_distinctmembers_if_002, owl_prop_sameas_ext, owl_restrict_exactqcr_object_002, owl_class_axiom_type, owl_dat_dtype_relation_subtype_language_token, rdfs_container_member_domain, owl_prop_targetindividual_ext, owl_dat_dtype_relation_subtype_datetimestamp_datetime, rdfs_annotation_label_domain, owl_dat_dtype_boolean_ext, owl_dat_facet_maxexclusive_type, owl_prop_versioninfo_ext, owl_dat_facet_minlength_type, owl_restrict_exactqcr_data_002, rdfs_container_n_type_003, owl_dat_dtype_relation_disjoint_hexbinary_real, owl_class_literal_type, owl_class_symmetricproperty_type, owl_prop_distinctmembers_type, owl_prop_backwardcompatiblewith_type_annot, owl_dat_dtype_xmlliteral_type, owl_ndis_alldifferent_members_fi_003, owl_ndis_alldisjointclasses_fi_001, owl_dat_dtype_relation_disjoint_datetime_xmlliteral, rdfs_domain_main, owl_dat_dtype_relation_subtype_byte_short, owl_ndis_alldifferent_members_if_002, owl_prop_targetvalue_type, owl_bool_datatypecomplementof, owl_dat_dtype_relation_disjoint_double_hexbinary, owl_bool_unionof_class_000, owl_dat_dtype_int_type, owl_prop_assertionproperty_type, rdfs_annotation_label_range, owl_dat_dtype_integer_type, owl_class_datatype_type, owl_prop_differentfrom_ext, owl_restrict_mincard_000, owl_key_001, owl_prop_onclass_ext, owl_class_resource_ext, owl_dat_dtype_relation_subtype_unsignedint_unsignedlong, owl_eqdis_disjointunionof_001, rdfs_container_n_type_002, owl_class_alldifferent_type, owl_prop_isdefinedby_ext, rdfs_value_domain, owl_restrict_exactqcr_object_000, owl_bool_complementof_class, owl_bool_unionof_dtype_002, owl_parts_ix_cond_set, owl_bool_intersectionof_class_003, owl_char_symmetric, owl_dat_dtype_unsignedshort_ext, owl_prop_priorversion_ext, simple_ir, owl_dat_facet_langrange_type, owl_class_inversefunctionalproperty_ext, simple_lv, owl_prop_disjointwith_type, owl_dat_dtype_relation_disjoint_double_real, owl_parts_ic_def, owl_ndis_alldifferent_members_fi_001, owl_class_datarange_type, owl_class_reflexiveproperty_ext, owl_eqdis_sameas, owl_restrict_maxqcr_data_002, rdf_collection_first_type, rdfs_dat_xmlliteral_sub, owl_enum_class_002, rdf_collection_nil_type, owl_dat_dtype_token_ext, owl_prop_onproperty_ext, owl_dat_dtype_unsignedint_type, rdfs_collection_rest_range, owl_dat_dtype_relation_disjoint_plainliteral_real, owl_parts_ip_def, owl_restrict_minqcr_data_000, owl_prop_maxcardinality_type, owl_class_reflexiveproperty_type, owl_dat_dtype_relation_disjoint_boolean_xmlliteral, owl_bool_unionof_class_003, rdfs_type_range, owl_restrict_somevaluesfrom, owl_parts_ip_cond_inst, owl_dat_facet_minlength_ext, rdfs_annotation_isdefinedby_range, owl_dat_dtype_boolean_type, owl_parts_ioxp_def, owl_ndis_alldifferent_distinctmembers_fi_000, owl_parts_ioap_cond_inst, owl_dat_dtype_relation_subtype_token_normalizedstring, owl_parts_lv_def, owl_dat_dtype_unsignedshort_type, owl_parts_ioxp_cond_set, owl_prop_allvaluesfrom_type, owl_restrict_exactcard_001, owl_dat_dtype_relation_disjoint_base64binary_hexbinary, owl_dat_dtype_long_ext, rdfs_container_containermembershipproperty_sub, owl_ndis_alldifferent_distinctmembers_fi_003, owl_prop_qualifiedcardinality_ext, owl_prop_bottomdataproperty_ext, owl_prop_mincardinality_ext, owl_dat_dtype_relation_subtype_name_token, owl_dat_dtype_negativeinteger_type, owl_dat_dtype_relation_subtype_nonnegativeinteger_integer, owl_prop_sameas_type, owl_class_objectproperty_ext, owl_class_nothing_ext, owl_prop_topdataproperty_ext, owl_prop_propertydisjointwith_ext, owl_dat_dtype_string_type, owl_dat_dtype_datetimestamp_ext, owl_prop_oneof_ext, rdf_collection_rest_type, rdfs_collection_rest_domain, owl_class_objectproperty_type, owl_ndis_alldisjointproperties_fi_001, owl_prop_bottomdataproperty_type, rdfs_domain_domain, rdfs_container_n_range_003, owl_dat_dtype_relation_subtype_nmtoken_token, owl_dat_dtype_relation_disjoint_base64binary_plainliteral, owl_dat_dtype_anyuri_ext, owl_dat_dtype_relation_disjoint_float_real, owl_class_restriction_ext, owl_dat_dtype_nmtoken_ext, owl_prop_equivalentclass_ext, owl_restrict_maxqcr_data_003, owl_char_inversefunctional, owl_prop_inverseof_ext, owl_prop_bottomobjectproperty_ext, owl_ndis_alldisjointclasses_fi_000, owl_class_deprecatedclass_type, owl_class_irreflexiveproperty_type, owl_prop_ondatatype_ext, rdfs_reification_predicate_domain, owl_parts_iodp_def, owl_dat_dtype_token_type, owl_ndis_alldifferent_distinctmembers_if_003, owl_prop_imports_type, owl_parts_ic_cond_inst, owl_restrict_maxqcr_data_000, owl_dat_dtype_relation_disjoint_anyuri_datetime, owl_class_resource_type, owl_dat_facet_minexclusive_ext, owl_dat_dtype_datetime_ext, rdf_type_ip, owl_class_literal_ext, owl_prop_maxcardinality_ext, owl_dat_dtype_nonpositiveinteger_type, owl_dat_dtype_relation_subtype_integer_decimal, owl_parts_lv_cond_set, owl_prop_propertydisjointwith_type, owl_dat_dtype_relation_disjoint_boolean_hexbinary, owl_parts_idc_cond_set, owl_restrict_maxcard_002, owl_class_nothing_type, rdfs_type_domain, owl_restrict_exactqcr_data_003, rdfs_annotation_seealso_range, owl_restrict_minqcr_object_003, owl_prop_cardinality_ext, owl_bool_unionof_class_001, owl_dat_dtype_unsignedlong_type, rdfs_annotation_isdefinedby_domain, owl_dat_dtype_relation_disjoint_boolean_datetime, owl_restrict_exactqcr_object_001, owl_dat_dtype_relation_disjoint_anyuri_hexbinary, owl_parts_idc_def, rdfs_annotation_comment_domain, owl_dat_dtype_long_type, owl_dat_dtype_unsignedint_ext, owl_class_datatypeproperty_type, owl_dat_facet_maxinclusive_type, owl_parts_ir_def, owl_restrict_hasvalue, owl_restrict_maxqcr_data_001, owl_class_symmetricproperty_ext, owl_dat_dtype_nmtoken_type, owl_prop_somevaluesfrom_ext, owl_dat_dtype_float_type, owl_parts_ioxp_cond_inst, owl_bool_intersectionof_dtype_002, owl_ndis_alldisjointproperties_if_002, owl_prop_qualifiedcardinality_type, owl_restrict_mincard_001, owl_prop_targetindividual_type, owl_dat_dtype_normalizedstring_type, rdfs_container_n_type_001, rdfs_annotation_comment_range, owl_bool_intersectionof_dtype_003, owl_ndis_alldisjointproperties_fi_003, owl_parts_ir_cond_set, owl_eqdis_differentfrom, owl_dat_facet_pattern_ext, owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral, owl_prop_mincardinality_type, owl_enum_class_000, owl_dat_dtype_nonnegativeinteger_ext, owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral, owl_prop_seealso_ext, owl_eqdis_disjointunionof_000, owl_npa_object_fi, owl_prop_withrestrictions_ext, owl_enum_dtype_001, owl_char_irreflexive, owl_class_annotation_ext, owl_class_functionalproperty_type, owl_prop_datatypecomplementof_type, owl_prop_targetvalue_ext, owl_dat_dtype_real_ext, rdfs_range_main, owl_class_alldifferent_ext, owl_bool_intersectionof_class_002, owl_prop_unionof_type, owl_dat_facet_mininclusive_type, owl_dat_dtype_relation_disjoint_base64binary_double, owl_prop_equivalentclass_type, owl_parts_idc_cond_inst, owl_prop_complementof_type, owl_prop_hasself_ext, owl_rdfsext_range, owl_prop_oneof_type, rdfs_datatype_instsub_literal, owl_class_inversefunctionalproperty_type, owl_prop_maxqualifiedcardinality_type, rdfs_subclassof_trans, owl_prop_incompatiblewith_type_annot, owl_class_annotationproperty_type, owl_eqdis_disjointwith, owl_dat_dtype_double_ext, owl_dat_dtype_name_ext, owl_dat_dtype_normalizedstring_ext, owl_dat_dtype_relation_disjoint_base64binary_xmlliteral, rdfs_subclassof_domain, owl_ndis_alldisjointclasses_if_002, owl_dat_dtype_nonnegativeinteger_type, owl_dat_dtype_relation_subtype_ncname_name, owl_class_ontology_ext, owl_restrict_exactqcr_data_000, owl_dat_dtype_relation_disjoint_double_xmlliteral, owl_class_deprecatedproperty_type, owl_prop_topobjectproperty_type, rdfs_annotation_isdefinedby_sub, rdfs_subpropertyof_main, owl_restrict_maxqcr_object_000, owl_dat_dtype_negativeinteger_ext, owl_class_transitiveproperty_ext, owl_prop_somevaluesfrom_type, owl_dat_dtype_datetime_type, owl_prop_backwardcompatiblewith_type_onto, owl_dat_dtype_relation_disjoint_real_xmlliteral, owl_dat_dtype_name_type, rdfs_container_member_range, rdfs_property_type, rdf_container_n_type_003, owl_class_annotation_type, owl_dat_dtype_relation_disjoint_boolean_plainliteral, owl_class_classrdfs_ext, owl_prop_haskey_type, owl_dat_dtype_relation_disjoint_boolean_double, owl_class_irreflexiveproperty_ext, owl_dat_dtype_relation_disjoint_hexbinary_plainliteral, owl_dat_dtype_unsignedbyte_type, owl_dat_dtype_relation_disjoint_boolean_real, owl_class_alldisjointproperties_ext, owl_dat_dtype_relation_subtype_short_int, owl_restrict_maxcard_001, rdfs_collection_first_domain, rdfs_ir_def, owl_prop_disjointunionof_type, owl_prop_backwardcompatiblewith_ext, owl_prop_intersectionof_type, owl_prop_propertychainaxiom_ext, owl_prop_equivalentproperty_ext, owl_dat_dtype_relation_subtype_rational_real, owl_prop_incompatiblewith_ext, rdfs_container_n_range_002, owl_key_000, owl_restrict_minqcr_object_002, premise_rdfbased_sem_char_reflexive_ext, owl_dat_dtype_relation_subtype_nonpositiveinteger_integer, owl_prop_members_type, owl_parts_ic_cond_set, owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger, owl_class_classowl_type, owl_class_functionalproperty_ext, owl_prop_withrestrictions_type, owl_prop_annotatedproperty_ext, owl_restrict_minqcr_data_001, owl_npa_object_if, rdf_reification_predicate_type, rdfs_container_seq_sub, owl_prop_minqualifiedcardinality_ext, rdfs_ic_def, owl_dat_dtype_language_ext, owl_prop_versioninfo_type, owl_prop_comment_type, owl_dat_facet_mininclusive_ext, rdfs_collection_first_range, owl_dat_dtype_relation_disjoint_datetime_float, owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_relation_disjoint_anyuri_plainliteral, owl_prop_seealso_type, owl_char_asymmetric, owl_dat_dtype_byte_type, owl_dat_dtype_relation_disjoint_anyuri_real, owl_prop_haskey_ext, owl_class_negativepropertyassertion_type, owl_prop_assertionproperty_ext, owl_parts_iodp_cond_set, owl_dat_dtype_integer_ext, rdfs_datatype_sub, owl_dat_dtype_relation_subtype_unsignedshort_unsignedint, rdfs_reification_predicate_range, owl_dat_dtype_relation_disjoint_datetime_hexbinary, owl_class_ontologyproperty_ext, owl_class_property_ext, owl_prop_sourceindividual_type, owl_enum_dtype_002, owl_restrict_exactcard_003, owl_dat_dtype_relation_disjoint_float_hexbinary, owl_eqdis_equivalentproperty, owl_char_functional, owl_bool_intersectionof_dtype_001, rdfs_dat_xmlliteral_type, owl_prop_differentfrom_type, owl_dat_dtype_float_ext, owl_class_ontology_type, owl_prop_annotatedtarget_ext, owl_prop_ondatarange_ext, owl_dat_dtype_positiveinteger_ext, owl_class_thing_ext, owl_parts_ioap_def, owl_parts_ix_def, owl_ndis_alldifferent_distinctmembers_fi_002, owl_ndis_alldisjointclasses_if_003, owl_restrict_maxcard_000, owl_dat_dtype_hexbinary_ext, owl_prop_hasvalue_ext, rdfs_annotation_seealso_domain, owl_dat_dtype_real_type, owl_ndis_alldisjointproperties_if_003, rdfs_subpropertyof_range, owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger, owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort, owl_ndis_alldisjointclasses_fi_003, owl_prop_members_ext, owl_rdfsext_subclassof, owl_prop_distinctmembers_ext, owl_npa_data_if, owl_dat_dtype_relation_disjoint_float_plainliteral, owl_restrict_maxqcr_object_001, owl_dat_dtype_nonpositiveinteger_ext, owl_class_annotationproperty_ext, owl_class_datarange_ext, owl_eqdis_propertydisjointwith, owl_prop_comment_ext, owl_dat_dtype_short_type, owl_prop_annotatedtarget_type, rdfs_lv_def, owl_bool_intersectionof_class_001, owl_restrict_exactqcr_data_001, rdfs_class_instsub_resource, owl_class_negativepropertyassertion_ext, owl_ndis_alldisjointproperties_fi_002, owl_prop_maxqualifiedcardinality_ext, owl_dat_dtype_relation_disjoint_datetime_double, owl_key_003, owl_dat_dtype_rational_ext, rdfs_reification_object_range, owl_enum_class_001, owl_dat_dtype_relation_disjoint_anyuri_float, owl_dat_dtype_relation_disjoint_double_float, rdfs_cext_def, owl_prop_ondatatype_type, owl_class_deprecatedproperty_ext, owl_dat_dtype_decimal_ext, rdfs_subpropertyof_reflex, owl_dat_dtype_relation_disjoint_base64binary_float, owl_class_deprecatedclass_ext, owl_dat_dtype_relation_disjoint_base64binary_datetime, owl_dat_dtype_relation_subtype_decimal_rational, owl_chain_003, rdfs_value_range, owl_prop_annotatedsource_type, owl_restrict_minqcr_object_001, owl_class_asymmetricproperty_ext, owl_prop_versioniri_type, owl_dat_dtype_base64binary_type, owl_dat_dtype_relation_disjoint_double_plainliteral, owl_prop_deprecated_ext, owl_dat_dtype_rational_type, owl_bool_unionof_class_002, simple_iext_property, owl_restrict_maxqcr_object_003, rdf_container_n_type_002, owl_prop_minqualifiedcardinality_type, owl_prop_ondatarange_type, owl_restrict_exactcard_000, owl_dat_dtype_hexbinary_type, rdfs_subclassof_main, owl_class_alldisjointclasses_type, owl_prop_topdataproperty_type, owl_class_axiom_ext, owl_prop_incompatiblewith_type_onto, owl_dat_facet_langrange_ext, owl_bool_unionof_dtype_003, owl_prop_versioniri_ext, owl_enum_class_003, owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger, owl_prop_annotatedsource_ext, owl_prop_propertychainaxiom_type, owl_dat_dtype_xmlliteral_ext, owl_class_alldisjointclasses_ext, owl_class_transitiveproperty_type, owl_dat_dtype_short_ext, owl_class_asymmetricproperty_type, owl_restrict_mincard_002, owl_eqdis_disjointunionof_003, owl_prop_datatypecomplementof_ext, owl_prop_label_type, owl_eqdis_equivalentclass, owl_dat_dtype_relation_disjoint_anyuri_base64binary, owl_dat_dtype_relation_disjoint_anyuri_xmlliteral, owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldifferent_members_fi_002, owl_dat_facet_length_type, owl_prop_deprecated_type, owl_parts_iodp_cond_inst, owl_prop_equivalentproperty_type, rdf_type_type, owl_prop_isdefinedby_type, owl_dat_dtype_language_type, owl_prop_onclass_type, owl_prop_hasself_type, rdfs_container_n_domain_003, owl_dat_dtype_relation_disjoint_anyuri_double, owl_dat_facet_maxinclusive_ext, owl_class_property_type, owl_prop_allvaluesfrom_ext, rdfs_domain_range, owl_prop_inverseof_type, rdf_reification_object_type, owl_dat_dtype_unsignedlong_ext, owl_prop_priorversion_type_annot, owl_ndis_alldifferent_members_if_003, owl_restrict_allvaluesfrom, owl_restrict_minqcr_data_002, owl_prop_disjointunionof_ext, owl_class_datatype_ext
% 50.60/12.11 % No. of inferences in proof: 1106
% 50.60/12.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 11551 ms resp. 10728 ms w/o parsing
% 51.83/12.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 51.83/12.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------