TSTP Solution File: SWB097+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:08:22 EDT 2023
% Result : Theorem 67.12s 14.25s
% Output : Refutation 67.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 725
% Syntax : Number of formulae : 1279 ( 396 unt; 173 typ; 0 def)
% Number of atoms : 4229 ( 266 equ; 0 cnn)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 11986 ( 310 ~; 99 |;1989 &;8553 @)
% ( 126 <=>; 909 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 175 ( 173 usr; 162 con; 0-3 aty)
% Number of variables : 2114 ( 0 ^;1947 !; 167 ?;2114 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_w_type,type,
uri_ex_w: $i ).
thf(uri_ex_z_type,type,
uri_ex_z: $i ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_xsd_int_type,type,
uri_xsd_int: $i ).
thf(uri_xsd_long_type,type,
uri_xsd_long: $i ).
thf(idc_type,type,
idc: $i > $o ).
thf(uri_xsd_normalizedString_type,type,
uri_xsd_normalizedString: $i ).
thf(uri_xsd_anyURI_type,type,
uri_xsd_anyURI: $i ).
thf(uri_xsd_double_type,type,
uri_xsd_double: $i ).
thf(uri_owl_rational_type,type,
uri_owl_rational: $i ).
thf(uri_owl_real_type,type,
uri_owl_real: $i ).
thf(uri_xsd_language_type,type,
uri_xsd_language: $i ).
thf(uri_xsd_token_type,type,
uri_xsd_token: $i ).
thf(uri_xsd_unsignedByte_type,type,
uri_xsd_unsignedByte: $i ).
thf(uri_xsd_unsignedShort_type,type,
uri_xsd_unsignedShort: $i ).
thf(uri_xsd_boolean_type,type,
uri_xsd_boolean: $i ).
thf(uri_xsd_float_type,type,
uri_xsd_float: $i ).
thf(uri_xsd_dateTime_type,type,
uri_xsd_dateTime: $i ).
thf(uri_rdf_PlainLiteral_type,type,
uri_rdf_PlainLiteral: $i ).
thf(uri_xsd_hexBinary_type,type,
uri_xsd_hexBinary: $i ).
thf(uri_xsd_base64Binary_type,type,
uri_xsd_base64Binary: $i ).
thf(uri_xsd_decimal_type,type,
uri_xsd_decimal: $i ).
thf(uri_xsd_negativeInteger_type,type,
uri_xsd_negativeInteger: $i ).
thf(uri_xsd_nonPositiveInteger_type,type,
uri_xsd_nonPositiveInteger: $i ).
thf(uri_xsd_dateTimeStamp_type,type,
uri_xsd_dateTimeStamp: $i ).
thf(uri_xsd_integer_type,type,
uri_xsd_integer: $i ).
thf(uri_xsd_short_type,type,
uri_xsd_short: $i ).
thf(uri_xsd_unsignedLong_type,type,
uri_xsd_unsignedLong: $i ).
thf(uri_xsd_unsignedInt_type,type,
uri_xsd_unsignedInt: $i ).
thf(uri_xsd_NCName_type,type,
uri_xsd_NCName: $i ).
thf(uri_xsd_Name_type,type,
uri_xsd_Name: $i ).
thf(uri_xsd_string_type,type,
uri_xsd_string: $i ).
thf(uri_xsd_byte_type,type,
uri_xsd_byte: $i ).
thf(uri_xsd_NMTOKEN_type,type,
uri_xsd_NMTOKEN: $i ).
thf(uri_rdfs_Resource_type,type,
uri_rdfs_Resource: $i ).
thf(ir_type,type,
ir: $i > $o ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_owl_Annotation_type,type,
uri_owl_Annotation: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_owl_onClass_type,type,
uri_owl_onClass: $i ).
thf(iodp_type,type,
iodp: $i > $o ).
thf(uri_xsd_pattern_type,type,
uri_xsd_pattern: $i ).
thf(uri_xsd_nonNegativeInteger_type,type,
uri_xsd_nonNegativeInteger: $i ).
thf(lv_type,type,
lv: $i > $o ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_rdf_XMLLiteral_type,type,
uri_rdf_XMLLiteral: $i ).
thf(uri_owl_topObjectProperty_type,type,
uri_owl_topObjectProperty: $i ).
thf(uri_owl_Restriction_type,type,
uri_owl_Restriction: $i ).
thf(ioap_type,type,
ioap: $i > $o ).
thf(uri_rdfs_seeAlso_type,type,
uri_rdfs_seeAlso: $i ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(uri_owl_hasKey_type,type,
uri_owl_hasKey: $i ).
thf(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
thf(ioxp_type,type,
ioxp: $i > $o ).
thf(uri_owl_incompatibleWith_type,type,
uri_owl_incompatibleWith: $i ).
thf(uri_owl_disjointUnionOf_type,type,
uri_owl_disjointUnionOf: $i ).
thf(uri_owl_someValuesFrom_type,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_AllDifferent_type,type,
uri_owl_AllDifferent: $i ).
thf(uri_owl_members_type,type,
uri_owl_members: $i ).
thf(uri_owl_unionOf_type,type,
uri_owl_unionOf: $i ).
thf(uri_rdf_langRange_type,type,
uri_rdf_langRange: $i ).
thf(uri_owl_maxQualifiedCardinality_type,type,
uri_owl_maxQualifiedCardinality: $i ).
thf(literal_typed_type,type,
literal_typed: $i > $i > $i ).
thf(dat_str_0_type,type,
dat_str_0: $i ).
thf(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
thf(uri_owl_onDataRange_type,type,
uri_owl_onDataRange: $i ).
thf(uri_owl_SymmetricProperty_type,type,
uri_owl_SymmetricProperty: $i ).
thf(uri_owl_bottomDataProperty_type,type,
uri_owl_bottomDataProperty: $i ).
thf(uri_xsd_length_type,type,
uri_xsd_length: $i ).
thf(uri_xsd_maxInclusive_type,type,
uri_xsd_maxInclusive: $i ).
thf(uri_owl_DataRange_type,type,
uri_owl_DataRange: $i ).
thf(uri_owl_OntologyProperty_type,type,
uri_owl_OntologyProperty: $i ).
thf(uri_xsd_minInclusive_type,type,
uri_xsd_minInclusive: $i ).
thf(uri_owl_NegativePropertyAssertion_type,type,
uri_owl_NegativePropertyAssertion: $i ).
thf(uri_rdfs_label_type,type,
uri_rdfs_label: $i ).
thf(uri_xsd_maxExclusive_type,type,
uri_xsd_maxExclusive: $i ).
thf(uri_owl_Axiom_type,type,
uri_owl_Axiom: $i ).
thf(uri_rdfs_Class_type,type,
uri_rdfs_Class: $i ).
thf(uri_owl_datatypeComplementOf_type,type,
uri_owl_datatypeComplementOf: $i ).
thf(uri_owl_deprecated_type,type,
uri_owl_deprecated: $i ).
thf(uri_owl_onDatatype_type,type,
uri_owl_onDatatype: $i ).
thf(uri_owl_imports_type,type,
uri_owl_imports: $i ).
thf(uri_owl_AnnotationProperty_type,type,
uri_owl_AnnotationProperty: $i ).
thf(uri_owl_targetValue_type,type,
uri_owl_targetValue: $i ).
thf(uri_owl_InverseFunctionalProperty_type,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(uri_owl_TransitiveProperty_type,type,
uri_owl_TransitiveProperty: $i ).
thf(uri_owl_equivalentProperty_type,type,
uri_owl_equivalentProperty: $i ).
thf(uri_owl_versionInfo_type,type,
uri_owl_versionInfo: $i ).
thf(dat_str_2_type,type,
dat_str_2: $i ).
thf(uri_owl_AllDisjointProperties_type,type,
uri_owl_AllDisjointProperties: $i ).
thf(uri_owl_versionIRI_type,type,
uri_owl_versionIRI: $i ).
thf(uri_owl_FunctionalProperty_type,type,
uri_owl_FunctionalProperty: $i ).
thf(uri_owl_intersectionOf_type,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_allValuesFrom_type,type,
uri_owl_allValuesFrom: $i ).
thf(uri_rdfs_Literal_type,type,
uri_rdfs_Literal: $i ).
thf(uri_owl_minQualifiedCardinality_type,type,
uri_owl_minQualifiedCardinality: $i ).
thf(uri_owl_differentFrom_type,type,
uri_owl_differentFrom: $i ).
thf(uri_rdfs_isDefinedBy_type,type,
uri_rdfs_isDefinedBy: $i ).
thf(uri_owl_oneOf_type,type,
uri_owl_oneOf: $i ).
thf(dat_str_3_type,type,
dat_str_3: $i ).
thf(uri_owl_qualifiedCardinality_type,type,
uri_owl_qualifiedCardinality: $i ).
thf(uri_owl_priorVersion_type,type,
uri_owl_priorVersion: $i ).
thf(uri_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
thf(uri_xsd_positiveInteger_type,type,
uri_xsd_positiveInteger: $i ).
thf(uri_owl_Nothing_type,type,
uri_owl_Nothing: $i ).
thf(uri_owl_AllDisjointClasses_type,type,
uri_owl_AllDisjointClasses: $i ).
thf(uri_owl_equivalentClass_type,type,
uri_owl_equivalentClass: $i ).
thf(uri_owl_Ontology_type,type,
uri_owl_Ontology: $i ).
thf(dat_str_1_type,type,
dat_str_1: $i ).
thf(uri_owl_complementOf_type,type,
uri_owl_complementOf: $i ).
thf(uri_owl_DatatypeProperty_type,type,
uri_owl_DatatypeProperty: $i ).
thf(ix_type,type,
ix: $i > $o ).
thf(uri_xsd_minExclusive_type,type,
uri_xsd_minExclusive: $i ).
thf(uri_owl_NamedIndividual_type,type,
uri_owl_NamedIndividual: $i ).
thf(uri_owl_Class_type,type,
uri_owl_Class: $i ).
thf(uri_owl_distinctMembers_type,type,
uri_owl_distinctMembers: $i ).
thf(uri_owl_cardinality_type,type,
uri_owl_cardinality: $i ).
thf(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
thf(uri_owl_topDataProperty_type,type,
uri_owl_topDataProperty: $i ).
thf(uri_owl_bottomObjectProperty_type,type,
uri_owl_bottomObjectProperty: $i ).
thf(uri_rdfs_comment_type,type,
uri_rdfs_comment: $i ).
thf(uri_xsd_minLength_type,type,
uri_xsd_minLength: $i ).
thf(uri_owl_propertyChainAxiom_type,type,
uri_owl_propertyChainAxiom: $i ).
thf(uri_owl_DeprecatedProperty_type,type,
uri_owl_DeprecatedProperty: $i ).
thf(uri_owl_backwardCompatibleWith_type,type,
uri_owl_backwardCompatibleWith: $i ).
thf(uri_owl_assertionProperty_type,type,
uri_owl_assertionProperty: $i ).
thf(uri_owl_maxCardinality_type,type,
uri_owl_maxCardinality: $i ).
thf(uri_owl_hasSelf_type,type,
uri_owl_hasSelf: $i ).
thf(uri_owl_withRestrictions_type,type,
uri_owl_withRestrictions: $i ).
thf(uri_xsd_maxLength_type,type,
uri_xsd_maxLength: $i ).
thf(uri_owl_DeprecatedClass_type,type,
uri_owl_DeprecatedClass: $i ).
thf(uri_rdfs_Datatype_type,type,
uri_rdfs_Datatype: $i ).
thf(uri_owl_annotatedTarget_type,type,
uri_owl_annotatedTarget: $i ).
thf(uri_owl_ReflexiveProperty_type,type,
uri_owl_ReflexiveProperty: $i ).
thf(uri_owl_IrreflexiveProperty_type,type,
uri_owl_IrreflexiveProperty: $i ).
thf(uri_owl_minCardinality_type,type,
uri_owl_minCardinality: $i ).
thf(uri_owl_inverseOf_type,type,
uri_owl_inverseOf: $i ).
thf(uri_owl_disjointWith_type,type,
uri_owl_disjointWith: $i ).
thf(uri_owl_annotatedProperty_type,type,
uri_owl_annotatedProperty: $i ).
thf(uri_owl_annotatedSource_type,type,
uri_owl_annotatedSource: $i ).
thf(uri_owl_AsymmetricProperty_type,type,
uri_owl_AsymmetricProperty: $i ).
thf(uri_owl_hasValue_type,type,
uri_owl_hasValue: $i ).
thf(uri_owl_sourceIndividual_type,type,
uri_owl_sourceIndividual: $i ).
thf(uri_owl_propertyDisjointWith_type,type,
uri_owl_propertyDisjointWith: $i ).
thf(uri_owl_targetIndividual_type,type,
uri_owl_targetIndividual: $i ).
thf(uri_rdfs_domain_type,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_predicate_type,type,
uri_rdf_predicate: $i ).
thf(uri_rdfs_Statement_type,type,
uri_rdfs_Statement: $i ).
thf(uri_rdf_List_type,type,
uri_rdf_List: $i ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_value_type,type,
uri_rdf_value: $i ).
thf(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
thf(uri_rdf__2_type,type,
uri_rdf__2: $i ).
thf(uri_rdf__1_type,type,
uri_rdf__1: $i ).
thf(uri_owl_IrreflexiveReflexiveProperty_type,type,
uri_owl_IrreflexiveReflexiveProperty: $i ).
thf(uri_rdfs_Seq_type,type,
uri_rdfs_Seq: $i ).
thf(uri_rdfs_Container_type,type,
uri_rdfs_Container: $i ).
thf(uri_rdf_subject_type,type,
uri_rdf_subject: $i ).
thf(uri_rdfs_subPropertyOf_type,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_rdf_Bag_type,type,
uri_rdf_Bag: $i ).
thf(uri_xml_nonNegativeInteger_type,type,
uri_xml_nonNegativeInteger: $i ).
thf(uri_rdfs_member_type,type,
uri_rdfs_member: $i ).
thf(uri_rdf_Alt_type,type,
uri_rdf_Alt: $i ).
thf(uri_rdfs_ContainerMembershipProperty_type,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(uri_rdf_object_type,type,
uri_rdf_object: $i ).
thf(uri_ex_p_type,type,
uri_ex_p: $i ).
thf(uri_ex_c_type,type,
uri_ex_c: $i ).
thf(uri_ex_x_type,type,
uri_ex_x: $i ).
thf(uri_rdf__3_type,type,
uri_rdf__3: $i ).
thf(44,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_plainliteral) ).
thf(645,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(259,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
<=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).
thf(1337,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Datatype @ A )
=> ( idc @ A ) )
& ( ( idc @ A )
=> ( icext @ uri_rdfs_Datatype @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(36,axiom,
idc @ uri_xsd_unsignedLong,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_type) ).
thf(629,plain,
idc @ uri_xsd_unsignedLong,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(540,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(2787,plain,
iext @ uri_rdfs_range @ uri_rdfs_subClassOf @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(460,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_domain @ A @ B )
<=> ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
thf(2331,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
=> ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ip @ A )
& ( ic @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_domain @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(3,axiom,
! [A: $i] :
( ( icext @ uri_xsd_int @ A )
=> ( icext @ uri_xsd_long @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_int_long) ).
thf(555,plain,
! [A: $i] :
( ( icext @ uri_xsd_int @ A )
=> ( icext @ uri_xsd_long @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(54,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_boolean @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_boolean) ).
thf(666,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_boolean @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(525,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasValue @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
thf(2744,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasValue @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(270,axiom,
ip @ uri_owl_qualifiedCardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_type) ).
thf(1369,plain,
ip @ uri_owl_qualifiedCardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(207,axiom,
ic @ uri_owl_Restriction,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_type) ).
thf(1190,plain,
ic @ uri_owl_Restriction,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(371,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] : ( icext @ A @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_000) ).
thf(1855,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] : ( icext @ A @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(547,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(2808,plain,
iext @ uri_rdfs_domain @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(502,axiom,
! [A: $i,B: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_ext) ).
thf(2590,plain,
! [A: $i,B: $i] :
~ ( iext @ uri_owl_bottomObjectProperty @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(291,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_xmlliteral) ).
thf(1422,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(89,axiom,
ic @ uri_owl_Thing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(741,plain,
ic @ uri_owl_Thing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(394,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_members @ A @ B )
=> ( ( ir @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_ext) ).
thf(2014,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_members @ A @ B )
=> ( ( ir @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(136,axiom,
idc @ uri_xsd_negativeInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_type) ).
thf(873,plain,
idc @ uri_xsd_negativeInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(239,axiom,
ic @ uri_owl_AnnotationProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_type) ).
thf(1305,plain,
ic @ uri_owl_AnnotationProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(192,axiom,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_ext) ).
thf(1158,plain,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(488,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(2512,plain,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(316,axiom,
iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(1596,plain,
iext @ uri_rdf_type @ uri_rdf_Property @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(418,axiom,
? [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_000) ).
thf(2104,plain,
? [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(534,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDifferent @ C )
& ( iext @ uri_owl_distinctMembers @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_001) ).
thf(2776,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDifferent @ C )
& ( iext @ uri_owl_distinctMembers @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(512,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(2659,plain,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(140,axiom,
ip @ uri_owl_onProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_type) ).
thf(878,plain,
ip @ uri_owl_onProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(48,axiom,
! [A: $i] :
( ( icext @ uri_xsd_short @ A )
=> ( icext @ uri_xsd_int @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_short_int) ).
thf(655,plain,
! [A: $i] :
( ( icext @ uri_xsd_short @ A )
=> ( icext @ uri_xsd_int @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(346,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ( ? [D: $i] : ( iext @ B @ C @ D )
& ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_001) ).
thf(1705,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ( ? [D: $i] : ( iext @ B @ C @ D )
& ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) ) ) )
& ( ( ? [D: $i] : ( iext @ B @ C @ D )
& ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(337,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
<=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
thf(1671,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) ) )
& ( ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( iext @ C @ H @ I )
& ( iext @ E @ I @ J )
& ( iext @ G @ J @ K ) )
=> ( iext @ A @ H @ K ) ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(187,axiom,
! [A: $i] :
( ( iodp @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
thf(1137,plain,
! [A: $i] :
( ( iodp @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(352,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Literal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(1735,plain,
! [A: $i] :
( ( icext @ uri_rdfs_Datatype @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Literal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(76,axiom,
! [A: $i] :
( ( icext @ uri_xsd_token @ A )
=> ( icext @ uri_xsd_normalizedString @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_token_normalizedstring) ).
thf(715,plain,
! [A: $i] :
( ( icext @ uri_xsd_token @ A )
=> ( icext @ uri_xsd_normalizedString @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(232,axiom,
idc @ uri_xsd_byte,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_type) ).
thf(1275,plain,
idc @ uri_xsd_byte,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(253,axiom,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(1327,plain,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(68,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_datetime) ).
thf(698,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(162,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_002) ).
thf(945,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) )
& ( ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(196,axiom,
ic @ uri_owl_AllDisjointClasses,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_type) ).
thf(1164,plain,
ic @ uri_owl_AllDisjointClasses,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(456,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(2316,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_Alt @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(260,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_002) ).
thf(1342,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) ) )
& ( ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(93,axiom,
! [A: $i] :
( ( icext @ uri_owl_Restriction @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
thf(747,plain,
! [A: $i] :
( ( icext @ uri_owl_Restriction @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(218,axiom,
! [A: $i] :
( ( icext @ uri_owl_Class @ A )
<=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).
thf(1222,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Class @ A )
=> ( ic @ A ) )
& ( ( ic @ A )
=> ( icext @ uri_owl_Class @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(161,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(930,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
| ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(209,axiom,
iodp @ uri_xsd_minExclusive,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_type) ).
thf(1196,plain,
iodp @ uri_xsd_minExclusive,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(146,axiom,
ic @ uri_owl_Annotation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_type) ).
thf(898,plain,
ic @ uri_owl_Annotation,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(377,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
<=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
thf(1914,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) ) )
& ( ( ( ip @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i] :
( ( ( iext @ C @ F @ G )
& ( iext @ E @ G @ H ) )
=> ( iext @ A @ F @ H ) ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(306,axiom,
ip @ uri_owl_targetIndividual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_type) ).
thf(1576,plain,
ip @ uri_owl_targetIndividual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(120,axiom,
ip @ uri_owl_onDataRange,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_type) ).
thf(841,plain,
ip @ uri_owl_onDataRange,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(142,axiom,
! [A: $i] :
( ( icext @ uri_owl_AnnotationProperty @ A )
<=> ( ioap @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_ext) ).
thf(885,plain,
! [A: $i] :
( ( ( icext @ uri_owl_AnnotationProperty @ A )
=> ( ioap @ A ) )
& ( ( ioap @ A )
=> ( icext @ uri_owl_AnnotationProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(382,axiom,
iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(1935,plain,
iext @ uri_rdfs_domain @ uri_rdf_subject @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(284,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_hasKey @ A @ B )
<=> ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( icext @ A @ H )
& ( icext @ A @ I )
& ( iext @ C @ H @ J )
& ( iext @ C @ I @ J )
& ( iext @ E @ H @ K )
& ( iext @ E @ I @ K )
& ( iext @ G @ H @ L )
& ( iext @ G @ I @ L ) )
=> ( H = I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_003) ).
thf(1386,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_hasKey @ A @ B )
=> ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( icext @ A @ H )
& ( icext @ A @ I )
& ( iext @ C @ H @ J )
& ( iext @ C @ I @ J )
& ( iext @ E @ H @ K )
& ( iext @ E @ I @ K )
& ( iext @ G @ H @ L )
& ( iext @ G @ I @ L ) )
=> ( H = I ) ) ) )
& ( ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ( ip @ G )
& ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( icext @ A @ H )
& ( icext @ A @ I )
& ( iext @ C @ H @ J )
& ( iext @ C @ I @ J )
& ( iext @ E @ H @ K )
& ( iext @ E @ I @ K )
& ( iext @ G @ H @ L )
& ( iext @ G @ I @ L ) )
=> ( H = I ) ) )
=> ( iext @ uri_owl_hasKey @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(412,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_002) ).
thf(2082,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(325,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_datatypeComplementOf @ A @ B )
=> ( ( idc @ A )
& ( idc @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_ext) ).
thf(1623,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_datatypeComplementOf @ A @ B )
=> ( ( idc @ A )
& ( idc @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(46,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_hexbinary) ).
thf(651,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(170,axiom,
! [A: $i] :
( ( ir @ A )
<=> ( icext @ uri_rdfs_Resource @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(1001,plain,
! [A: $i] :
( ( ( ir @ A )
=> ( icext @ uri_rdfs_Resource @ A ) )
& ( ( icext @ uri_rdfs_Resource @ A )
=> ( ir @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(522,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_cardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_ext) ).
thf(2723,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_cardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(185,axiom,
! [A: $i] :
( ( icext @ uri_owl_DataRange @ A )
<=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_ext) ).
thf(1127,plain,
! [A: $i] :
( ( ( icext @ uri_owl_DataRange @ A )
=> ( idc @ A ) )
& ( ( idc @ A )
=> ( icext @ uri_owl_DataRange @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(529,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointUnionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_ext) ).
thf(2763,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointUnionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(8,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedByte @ A )
=> ( icext @ uri_xsd_unsignedShort @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort) ).
thf(565,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedByte @ A )
=> ( icext @ uri_xsd_unsignedShort @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(268,axiom,
! [A: $i] :
( ( icext @ uri_xsd_hexBinary @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_ext) ).
thf(1366,plain,
! [A: $i] :
( ( icext @ uri_xsd_hexBinary @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(427,axiom,
! [A: $i] :
( ( icext @ uri_owl_FunctionalProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ B @ D ) )
=> ( C = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
thf(2136,plain,
! [A: $i] :
( ( ( icext @ uri_owl_FunctionalProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ B @ D ) )
=> ( C = D ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ B @ D ) )
=> ( C = D ) ) )
=> ( icext @ uri_owl_FunctionalProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(227,axiom,
! [A: $i] :
( ( icext @ uri_owl_DatatypeProperty @ A )
<=> ( iodp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_ext) ).
thf(1265,plain,
! [A: $i] :
( ( ( icext @ uri_owl_DatatypeProperty @ A )
=> ( iodp @ A ) )
& ( ( iodp @ A )
=> ( icext @ uri_owl_DatatypeProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(10,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_real) ).
thf(570,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(551,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( idc @ C )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_001) ).
thf(2814,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( idc @ C )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(514,axiom,
! [A: $i] :
( ( icext @ uri_owl_ReflexiveProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_reflexive) ).
thf(2667,plain,
! [A: $i] :
( ( ( icext @ uri_owl_ReflexiveProperty @ A )
=> ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) ) )
& ( ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) )
=> ( icext @ uri_owl_ReflexiveProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(448,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] : ( icext @ A @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_000) ).
thf(2269,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] : ( icext @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(157,axiom,
ioap @ uri_owl_versionInfo,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_type) ).
thf(917,plain,
ioap @ uri_owl_versionInfo,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(307,axiom,
ioap @ uri_owl_incompatibleWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_annot) ).
thf(1577,plain,
ioap @ uri_owl_incompatibleWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(480,axiom,
( ( iext @ uri_owl_minQualifiedCardinality @ uri_ex_z @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ uri_ex_z @ uri_ex_p )
& ( iext @ uri_owl_onClass @ uri_ex_z @ uri_ex_c )
& ( iext @ uri_rdf_type @ uri_ex_x @ uri_ex_c )
& ( iext @ uri_ex_p @ uri_ex_w @ uri_ex_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
thf(2488,plain,
( ( iext @ uri_owl_minQualifiedCardinality @ uri_ex_z @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ uri_ex_z @ uri_ex_p )
& ( iext @ uri_owl_onClass @ uri_ex_z @ uri_ex_c )
& ( iext @ uri_rdf_type @ uri_ex_x @ uri_ex_c )
& ( iext @ uri_ex_p @ uri_ex_w @ uri_ex_x ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(208,axiom,
! [A: $i] :
( ( icext @ uri_owl_Ontology @ A )
<=> ( ix @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_ext) ).
thf(1191,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Ontology @ A )
=> ( ix @ A ) )
& ( ( ix @ A )
=> ( icext @ uri_owl_Ontology @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(387,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_002) ).
thf(1992,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) ) )
& ( ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(478,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_001) ).
thf(2466,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) )
& ( ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(186,axiom,
! [A: $i] :
( ( ic @ A )
<=> ( icext @ uri_rdfs_Class @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(1132,plain,
! [A: $i] :
( ( ( ic @ A )
=> ( icext @ uri_rdfs_Class @ A ) )
& ( ( icext @ uri_rdfs_Class @ A )
=> ( ic @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(254,axiom,
ip @ uri_owl_withRestrictions,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_type) ).
thf(1330,plain,
ip @ uri_owl_withRestrictions,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(226,axiom,
idc @ uri_xsd_unsignedByte,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_type) ).
thf(1264,plain,
idc @ uri_xsd_unsignedByte,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(249,axiom,
ioap @ uri_owl_backwardCompatibleWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_annot) ).
thf(1323,plain,
ioap @ uri_owl_backwardCompatibleWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_real) ).
thf(619,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(118,axiom,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_cond_set) ).
thf(838,plain,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(244,axiom,
ip @ uri_owl_propertyChainAxiom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_type) ).
thf(1313,plain,
ip @ uri_owl_propertyChainAxiom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(235,axiom,
ip @ uri_owl_bottomObjectProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_type) ).
thf(1279,plain,
ip @ uri_owl_bottomObjectProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(378,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(1922,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(41,axiom,
idc @ uri_xsd_dateTime,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_type) ).
thf(638,plain,
idc @ uri_xsd_dateTime,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(278,axiom,
ip @ uri_owl_maxQualifiedCardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_type) ).
thf(1379,plain,
ip @ uri_owl_maxQualifiedCardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(531,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(2767,plain,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(26,axiom,
idc @ uri_xsd_token,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_type) ).
thf(606,plain,
idc @ uri_xsd_token,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(222,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ A @ B )
<=> ( ( ic @ A )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( F = C )
| ( F = E ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_002) ).
thf(1232,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( F = C )
| ( F = E ) ) )
& ( ( ( F = C )
| ( F = E ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( F = C )
| ( F = E ) ) )
& ( ( ( F = C )
| ( F = E ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_oneOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(345,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(1704,plain,
iext @ uri_rdfs_domain @ uri_rdfs_range @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(134,axiom,
! [A: $i] :
( ( icext @ uri_xsd_int @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_ext) ).
thf(870,plain,
! [A: $i] :
( ( icext @ uri_xsd_int @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(466,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_minQualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_ext) ).
thf(2388,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_minQualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(493,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_002) ).
thf(2533,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) ) )
& ( ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(477,axiom,
! [A: $i] :
( ( icext @ uri_owl_TransitiveProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
thf(2456,plain,
! [A: $i] :
( ( ( icext @ uri_owl_TransitiveProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ C )
& ( iext @ A @ C @ D ) )
=> ( iext @ A @ B @ D ) ) )
=> ( icext @ uri_owl_TransitiveProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(440,axiom,
! [A: $i] :
( ( ip @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_inst) ).
thf(2222,plain,
! [A: $i] :
( ( ip @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(398,axiom,
iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(2027,plain,
iext @ uri_rdfs_range @ uri_rdf_subject @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(274,axiom,
ic @ uri_owl_IrreflexiveProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_type) ).
thf(1373,plain,
ic @ uri_owl_IrreflexiveProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(509,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(2650,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(116,axiom,
! [A: $i] :
( ( icext @ uri_xsd_nonPositiveInteger @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_ext) ).
thf(834,plain,
! [A: $i] :
( ( icext @ uri_xsd_nonPositiveInteger @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(372,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(1858,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Seq @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(104,axiom,
iodp @ uri_rdf_langRange,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_type) ).
thf(806,plain,
iodp @ uri_rdf_langRange,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(203,axiom,
ip @ uri_owl_complementOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_type) ).
thf(1183,plain,
ip @ uri_owl_complementOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(395,axiom,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(2017,plain,
iext @ uri_rdf_type @ uri_rdf_nil @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(298,axiom,
! [A: $i] :
( ( icext @ uri_owl_FunctionalProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_ext) ).
thf(1489,plain,
! [A: $i] :
( ( icext @ uri_owl_FunctionalProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(443,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(2237,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(287,axiom,
! [A: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_ext) ).
thf(1415,plain,
! [A: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(282,axiom,
! [A: $i] :
( ( icext @ uri_owl_AsymmetricProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_ext) ).
thf(1383,plain,
! [A: $i] :
( ( icext @ uri_owl_AsymmetricProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(180,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ A @ B )
<=> ( ( ic @ A )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( H = C )
| ( H = E )
| ( H = G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_003) ).
thf(1020,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( H = C )
| ( H = E )
| ( H = G ) ) )
& ( ( ( H = C )
| ( H = E )
| ( H = G ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( H = C )
| ( H = E )
| ( H = G ) ) )
& ( ( ( H = C )
| ( H = E )
| ( H = G ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_oneOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(97,axiom,
! [A: $i] :
( ( icext @ uri_rdf_Property @ A )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_ext) ).
thf(766,plain,
! [A: $i] :
( ( ( icext @ uri_rdf_Property @ A )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( icext @ uri_rdf_Property @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(63,axiom,
idc @ uri_xsd_string,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
thf(687,plain,
idc @ uri_xsd_string,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(277,axiom,
! [A: $i] :
( ( icext @ uri_xsd_base64Binary @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_ext) ).
thf(1377,plain,
! [A: $i] :
( ( icext @ uri_xsd_base64Binary @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(451,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( lv @ C )
& ( lv @ E )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_002) ).
thf(2281,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( lv @ C )
& ( lv @ E )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(39,axiom,
idc @ uri_xsd_integer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
thf(634,plain,
idc @ uri_xsd_integer,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(139,axiom,
ioxp @ uri_owl_imports,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_type) ).
thf(877,plain,
ioxp @ uri_owl_imports,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ( C != E )
& ( C != G )
& ( E != G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_003) ).
thf(774,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ( C != E )
& ( C != G )
& ( E != G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(548,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_priorVersion @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_ext) ).
thf(2809,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_priorVersion @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(508,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( icext @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_001) ).
thf(2639,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_disjointUnionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(212,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( icext @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_001) ).
thf(1201,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(545,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(2804,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_XMLLiteral @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(123,axiom,
! [A: $i] :
( ( icext @ uri_xsd_language @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_ext) ).
thf(849,plain,
! [A: $i] :
( ( icext @ uri_xsd_language @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(294,axiom,
! [A: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_ext) ).
thf(1447,plain,
! [A: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(479,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ? [D: $i] : ( iext @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_000) ).
thf(2483,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ? [D: $i] : ( iext @ B @ C @ D ) )
& ( ~ ? [D: $i] : ( iext @ B @ C @ D )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(527,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ! [G: $i] :
~ ( ( icext @ B @ G )
& ( icext @ D @ G ) )
& ! [G: $i] :
~ ( ( icext @ B @ G )
& ( icext @ F @ G ) )
& ! [G: $i] :
~ ( ( icext @ D @ G )
& ( icext @ F @ G ) ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_003) ).
thf(2750,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ! [G: $i] :
~ ( ( icext @ B @ G )
& ( icext @ D @ G ) )
& ! [G: $i] :
~ ( ( icext @ B @ G )
& ( icext @ F @ G ) )
& ! [G: $i] :
~ ( ( icext @ D @ G )
& ( icext @ F @ G ) ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(286,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_000) ).
thf(1405,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(332,axiom,
iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(1651,plain,
iext @ uri_rdfs_range @ uri_rdf__1 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(391,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(2011,plain,
iext @ uri_rdfs_subClassOf @ uri_rdf_Bag @ uri_rdfs_Container,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(240,axiom,
ioxp @ uri_owl_priorVersion,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_onto) ).
thf(1306,plain,
ioxp @ uri_owl_priorVersion,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(211,axiom,
! [A: $i] :
( ( icext @ uri_xsd_Name @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_ext) ).
thf(1199,plain,
! [A: $i] :
( ( icext @ uri_xsd_Name @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(421,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
thf(2118,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(107,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_000) ).
thf(810,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ~ ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(513,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sameAs @ A @ B )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(2660,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_sameAs @ A @ B )
=> ( A = B ) )
& ( ( A = B )
=> ( iext @ uri_owl_sameAs @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(195,axiom,
ic @ uri_owl_NegativePropertyAssertion,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_type) ).
thf(1163,plain,
ic @ uri_owl_NegativePropertyAssertion,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(243,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedByte @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_ext) ).
thf(1311,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedByte @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(453,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_langRange @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_ext) ).
thf(2307,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_langRange @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(471,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
thf(2409,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(92,axiom,
ip @ uri_owl_topObjectProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_type) ).
thf(746,plain,
ip @ uri_owl_topObjectProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(445,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedProperty @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_ext) ).
thf(2249,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedProperty @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(504,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentProperty @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
<=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
thf(2596,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_equivalentProperty @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) )
& ( ( iext @ B @ C @ D )
=> ( iext @ A @ C @ D ) ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) )
& ( ( iext @ B @ C @ D )
=> ( iext @ A @ C @ D ) ) ) )
=> ( iext @ uri_owl_equivalentProperty @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(310,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( idc @ G )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_003) ).
thf(1580,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( idc @ G )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(131,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Class @ A )
<=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).
thf(862,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Class @ A )
=> ( ic @ A ) )
& ( ( ic @ A )
=> ( icext @ uri_rdfs_Class @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(303,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_xmlliteral) ).
thf(1570,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(21,axiom,
! [A: $i] :
( ( icext @ uri_xsd_negativeInteger @ A )
=> ( icext @ uri_xsd_nonPositiveInteger @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger) ).
thf(598,plain,
! [A: $i] :
( ( icext @ uri_xsd_negativeInteger @ A )
=> ( icext @ uri_xsd_nonPositiveInteger @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(108,axiom,
! [A: $i] :
( ( icext @ uri_owl_SymmetricProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_ext) ).
thf(820,plain,
! [A: $i] :
( ( icext @ uri_owl_SymmetricProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(6,axiom,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
thf(561,plain,
! [A: $i] :
( ( icext @ uri_owl_rational @ A )
=> ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(296,axiom,
ip @ uri_owl_sourceIndividual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_type) ).
thf(1487,plain,
ip @ uri_owl_sourceIndividual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(271,axiom,
idc @ uri_xsd_NCName,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_type) ).
thf(1370,plain,
idc @ uri_xsd_NCName,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(425,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_targetIndividual @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_ext) ).
thf(2132,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_targetIndividual @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(231,axiom,
ic @ uri_owl_TransitiveProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_type) ).
thf(1274,plain,
ic @ uri_owl_TransitiveProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(515,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_003) ).
thf(2673,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) ) )
& ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(349,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_allValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
thf(1723,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_allValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(153,axiom,
! [A: $i] :
( ( icext @ uri_owl_TransitiveProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_ext) ).
thf(910,plain,
! [A: $i] :
( ( icext @ uri_owl_TransitiveProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(111,axiom,
! [A: $i] :
( ( icext @ uri_xsd_long @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_ext) ).
thf(825,plain,
! [A: $i] :
( ( icext @ uri_xsd_long @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(546,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_minCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_ext) ).
thf(2805,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_minCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(66,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_plainliteral) ).
thf(693,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(37,axiom,
idc @ uri_xsd_unsignedInt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_type) ).
thf(630,plain,
idc @ uri_xsd_unsignedInt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(319,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_002) ).
thf(1602,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(34,axiom,
idc @ uri_xsd_decimal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
thf(625,plain,
idc @ uri_xsd_decimal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(53,axiom,
idc @ uri_xsd_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_type) ).
thf(665,plain,
idc @ uri_xsd_int,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(340,axiom,
iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(1687,plain,
iext @ uri_rdfs_range @ uri_rdf_type @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(358,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedSource @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_ext) ).
thf(1787,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedSource @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(183,axiom,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_lv) ).
thf(1079,plain,
! [A: $i] :
( ( lv @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(463,axiom,
iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(2345,plain,
iext @ uri_rdf_type @ uri_rdf_object @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(237,axiom,
iodp @ uri_xsd_minLength,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_type) ).
thf(1281,plain,
iodp @ uri_xsd_minLength,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(442,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_range @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).
thf(2228,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( icext @ B @ D ) ) )
=> ( iext @ uri_rdfs_range @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(73,axiom,
idc @ uri_xsd_hexBinary,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_type) ).
thf(710,plain,
idc @ uri_xsd_hexBinary,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(121,axiom,
! [A: $i] :
( ( icext @ uri_xsd_byte @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_ext) ).
thf(842,plain,
! [A: $i] :
( ( icext @ uri_xsd_byte @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(510,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ? [D: $i] : ( iext @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
thf(2653,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ? [D: $i] : ( iext @ B @ C @ D ) )
& ( ? [D: $i] : ( iext @ B @ C @ D )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(497,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ! [H: $i] :
~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ! [H: $i] :
~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ! [H: $i] :
~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_003) ).
thf(2565,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ! [H: $i] :
~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ! [H: $i] :
~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ! [H: $i] :
~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(141,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( B != D ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDifferent @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_002) ).
thf(879,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( B != D ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDifferent @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(125,axiom,
! [A: $i] :
( ( ic @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
thf(852,plain,
! [A: $i] :
( ( ic @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(553,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_versionIRI @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_ext) ).
thf(2820,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_versionIRI @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(15,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_hexbinary) ).
thf(583,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(113,axiom,
! [A: $i] :
( ( icext @ uri_xsd_NMTOKEN @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_ext) ).
thf(830,plain,
! [A: $i] :
( ( icext @ uri_xsd_NMTOKEN @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(61,axiom,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
thf(682,plain,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(437,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_000) ).
thf(2211,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(304,axiom,
ic @ uri_owl_AsymmetricProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_type) ).
thf(1573,plain,
ic @ uri_owl_AsymmetricProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(163,axiom,
ic @ uri_owl_AllDisjointProperties,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_type) ).
thf(974,plain,
ic @ uri_owl_AllDisjointProperties,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(90,axiom,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_ext) ).
thf(742,plain,
! [A: $i] :
( ( icext @ uri_xsd_string @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(483,axiom,
! [A: $i] :
( ( iext @ uri_owl_oneOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_000) ).
thf(2498,plain,
! [A: $i] :
( ( ( iext @ uri_owl_oneOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) )
=> ( iext @ uri_owl_oneOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(137,axiom,
ip @ uri_owl_onDatatype,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_type) ).
thf(874,plain,
ip @ uri_owl_onDatatype,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(228,axiom,
! [A: $i] :
( ( idc @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_inst) ).
thf(1270,plain,
! [A: $i] :
( ( idc @ A )
=> ! [B: $i] :
( ( icext @ A @ B )
=> ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(544,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
thf(2801,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(177,axiom,
ip @ uri_owl_minQualifiedCardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_type) ).
thf(1017,plain,
ip @ uri_owl_minQualifiedCardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(30,axiom,
idc @ uri_xsd_float,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_type) ).
thf(615,plain,
idc @ uri_xsd_float,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(81,axiom,
idc @ uri_xsd_boolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_type) ).
thf(725,plain,
idc @ uri_xsd_boolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(171,axiom,
ip @ uri_owl_unionOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_type) ).
thf(1006,plain,
ip @ uri_owl_unionOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(523,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_imports @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_ext) ).
thf(2726,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_imports @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(19,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_datetime) ).
thf(593,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(28,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_double @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_double) ).
thf(610,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_double @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(128,axiom,
! [A: $i] :
( ( ioap @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_set) ).
thf(857,plain,
! [A: $i] :
( ( ioap @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(264,axiom,
ip @ uri_owl_minCardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_type) ).
thf(1360,plain,
ip @ uri_owl_minCardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(383,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_value_type) ).
thf(1936,plain,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(517,axiom,
iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(2709,plain,
iext @ uri_rdfs_range @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(219,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral) ).
thf(1227,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(516,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(2694,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_equivalentClass @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) )
=> ( iext @ uri_owl_equivalentClass @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(292,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_001) ).
thf(1425,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) )
& ( ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(193,axiom,
! [A: $i] :
( ( icext @ uri_xsd_positiveInteger @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_ext) ).
thf(1160,plain,
! [A: $i] :
( ( icext @ uri_xsd_positiveInteger @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(265,axiom,
! [A: $i] :
( ( icext @ uri_xsd_dateTime @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_ext) ).
thf(1361,plain,
! [A: $i] :
( ( icext @ uri_xsd_dateTime @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(1,conjecture,
iext @ uri_rdf_type @ uri_ex_w @ uri_ex_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
thf(2,negated_conjecture,
~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_z ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(554,plain,
~ ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_z ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(55,axiom,
! [A: $i] :
( ( icext @ uri_xsd_NCName @ A )
=> ( icext @ uri_xsd_Name @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_ncname_name) ).
thf(669,plain,
! [A: $i] :
( ( icext @ uri_xsd_NCName @ A )
=> ( icext @ uri_xsd_Name @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(148,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_xmlliteral) ).
thf(901,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(43,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_plainliteral) ).
thf(642,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(312,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ir @ B )
& ( iodp @ A )
& ( lv @ C )
& ~ ( iext @ A @ B @ C ) )
=> ? [D: $i] :
( ( iext @ uri_owl_sourceIndividual @ D @ B )
& ( iext @ uri_owl_assertionProperty @ D @ A )
& ( iext @ uri_owl_targetValue @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_fi) ).
thf(1584,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ir @ B )
& ( iodp @ A )
& ( lv @ C )
& ~ ( iext @ A @ B @ C ) )
=> ? [D: $i] :
( ( iext @ uri_owl_sourceIndividual @ D @ B )
& ( iext @ uri_owl_assertionProperty @ D @ A )
& ( iext @ uri_owl_targetValue @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(215,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedShort @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_ext) ).
thf(1214,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedShort @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(401,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_inverseOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
thf(2038,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_inverseOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(301,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_003) ).
thf(1493,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) )
& ( ( ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(543,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_assertionProperty @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_ext) ).
thf(2798,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_assertionProperty @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(343,axiom,
iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(1700,plain,
iext @ uri_rdfs_range @ uri_rdf__2 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(384,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_003) ).
thf(1937,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) )
& ( ( ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
& ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(496,axiom,
! [A: $i] :
( ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
( ( icext @ A @ B )
<=> ( ir @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_000) ).
thf(2551,plain,
! [A: $i] :
( ( ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
( ( ( icext @ A @ B )
=> ( ir @ B ) )
& ( ( ir @ B )
=> ( icext @ A @ B ) ) ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
( ( ( icext @ A @ B )
=> ( ir @ B ) )
& ( ( ir @ B )
=> ( icext @ A @ B ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(176,axiom,
ip @ uri_owl_intersectionOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_type) ).
thf(1016,plain,
ip @ uri_owl_intersectionOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(18,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_float @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_float) ).
thf(590,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_float @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(413,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minInclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_ext) ).
thf(2085,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minInclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(323,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sameAs @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_ext) ).
thf(1612,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sameAs @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(59,axiom,
idc @ uri_rdf_PlainLiteral,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_type) ).
thf(679,plain,
idc @ uri_rdf_PlainLiteral,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(457,axiom,
iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(2317,plain,
iext @ uri_rdfs_subPropertyOf @ uri_rdfs_isDefinedBy @ uri_rdfs_seeAlso,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(190,axiom,
ic @ uri_owl_ObjectProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_type) ).
thf(1155,plain,
ic @ uri_owl_ObjectProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(536,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxLength @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_ext) ).
thf(2781,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxLength @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(289,axiom,
! [A: $i] :
( ( icext @ uri_owl_ReflexiveProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_ext) ).
thf(1419,plain,
! [A: $i] :
( ( icext @ uri_owl_ReflexiveProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_real) ).
thf(622,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(69,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_plainliteral) ).
thf(701,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(281,axiom,
ioxp @ uri_owl_backwardCompatibleWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_onto) ).
thf(1382,plain,
ioxp @ uri_owl_backwardCompatibleWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(221,axiom,
iodp @ uri_owl_topDataProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_type) ).
thf(1231,plain,
iodp @ uri_owl_topDataProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(47,axiom,
idc @ uri_owl_rational,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_type) ).
thf(654,plain,
idc @ uri_owl_rational,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(336,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] : ( icext @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_000) ).
thf(1668,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] : ( icext @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(381,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_comment @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_ext) ).
thf(1932,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_comment @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(500,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onProperty @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(2581,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onProperty @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(530,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(2766,plain,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(348,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(1720,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_domain @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(25,axiom,
idc @ uri_xsd_short,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_type) ).
thf(605,plain,
idc @ uri_xsd_short,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(365,axiom,
! [A: $i] :
( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(1825,plain,
! [A: $i] :
( ( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(250,axiom,
ip @ uri_owl_assertionProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_type) ).
thf(1324,plain,
ip @ uri_owl_assertionProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(484,axiom,
? [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_000) ).
thf(2504,plain,
? [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(474,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_isDefinedBy @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_ext) ).
thf(2450,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_isDefinedBy @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(313,axiom,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(1588,plain,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(389,axiom,
! [A: $i] :
( ( ip @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(2006,plain,
! [A: $i] :
( ( ip @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(482,axiom,
iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(2497,plain,
iext @ uri_rdfs_range @ uri_rdf_first @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(370,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minExclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_ext) ).
thf(1852,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minExclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(550,axiom,
iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(2813,plain,
iext @ uri_rdfs_domain @ uri_rdf__2 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(257,axiom,
! [A: $i] :
( ( icext @ uri_owl_real @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_ext) ).
thf(1333,plain,
! [A: $i] :
( ( icext @ uri_owl_real @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(506,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
& ( iext @ uri_rdfs_subClassOf @ B @ C ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(2634,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
& ( iext @ uri_rdfs_subClassOf @ B @ C ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(49,axiom,
idc @ uri_xsd_anyURI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_type) ).
thf(657,plain,
idc @ uri_xsd_anyURI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(96,axiom,
idc @ uri_xsd_dateTimeStamp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_type) ).
thf(765,plain,
idc @ uri_xsd_dateTimeStamp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(5,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_double @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_double) ).
thf(558,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_double @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(57,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedInt @ A )
=> ( icext @ uri_xsd_unsignedLong @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedint_unsignedlong) ).
thf(674,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedInt @ A )
=> ( icext @ uri_xsd_unsignedLong @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(199,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_001) ).
thf(1167,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(205,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDifferent @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_001) ).
thf(1185,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDifferent @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(52,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_double @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_double) ).
thf(662,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_base64Binary @ A )
& ( icext @ uri_xsd_double @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(351,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxInclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_ext) ).
thf(1732,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxInclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(541,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(2788,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(248,axiom,
! [A: $i] :
( ( lv @ A )
<=> ( icext @ uri_rdfs_Literal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(1318,plain,
! [A: $i] :
( ( ( lv @ A )
=> ( icext @ uri_rdfs_Literal @ A ) )
& ( ( icext @ uri_rdfs_Literal @ A )
=> ( lv @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(100,axiom,
ip @ uri_owl_someValuesFrom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_type) ).
thf(773,plain,
ip @ uri_owl_someValuesFrom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(16,axiom,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
thf(586,plain,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(234,axiom,
ic @ uri_owl_InverseFunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
thf(1278,plain,
ic @ uri_owl_InverseFunctionalProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(95,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_hasKey @ A @ B )
<=> ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( icext @ A @ F )
& ( icext @ A @ G )
& ( iext @ C @ F @ H )
& ( iext @ C @ G @ H )
& ( iext @ E @ F @ I )
& ( iext @ E @ G @ I ) )
=> ( F = G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_002) ).
thf(750,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_hasKey @ A @ B )
=> ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( icext @ A @ F )
& ( icext @ A @ G )
& ( iext @ C @ F @ H )
& ( iext @ C @ G @ H )
& ( iext @ E @ F @ I )
& ( iext @ E @ G @ I ) )
=> ( F = G ) ) ) )
& ( ( ( ic @ A )
& ( ip @ C )
& ( ip @ E )
& ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( icext @ A @ F )
& ( icext @ A @ G )
& ( iext @ C @ F @ H )
& ( iext @ C @ G @ H )
& ( iext @ E @ F @ I )
& ( iext @ E @ G @ I ) )
=> ( F = G ) ) )
=> ( iext @ uri_owl_hasKey @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(223,axiom,
ic @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).
thf(1251,plain,
ic @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(467,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_000) ).
thf(2391,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ~ ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(450,axiom,
! [A: $i] :
( ( iext @ uri_owl_disjointUnionOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_000) ).
thf(2275,plain,
! [A: $i] :
( ( ( iext @ uri_owl_disjointUnionOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) )
=> ( iext @ uri_owl_disjointUnionOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(521,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( B != D )
& ( B != F )
& ( D != F ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDifferent @ G )
& ( iext @ uri_owl_distinctMembers @ G @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_003) ).
thf(2717,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( B != D )
& ( B != F )
& ( D != F ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDifferent @ G )
& ( iext @ uri_owl_distinctMembers @ G @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(230,axiom,
ip @ uri_owl_oneOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_type) ).
thf(1273,plain,
ip @ uri_owl_oneOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(380,axiom,
! [A: $i] :
( ( ic @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Class ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_def) ).
thf(1927,plain,
! [A: $i] :
( ( ( ic @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Class ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Class )
=> ( ic @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(127,axiom,
ioap @ uri_rdfs_label,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_type) ).
thf(856,plain,
ioap @ uri_rdfs_label,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(11,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_plainliteral) ).
thf(573,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(275,axiom,
! [A: $i] :
( ( icext @ uri_xsd_normalizedString @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_ext) ).
thf(1374,plain,
! [A: $i] :
( ( icext @ uri_xsd_normalizedString @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(491,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(2524,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_Datatype @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(84,axiom,
! [A: $i] :
( ( icext @ uri_owl_Annotation @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_ext) ).
thf(733,plain,
! [A: $i] :
( ( icext @ uri_owl_Annotation @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(23,axiom,
! [A: $i] :
( ( icext @ uri_xsd_dateTimeStamp @ A )
=> ( icext @ uri_xsd_dateTime @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_datetimestamp_datetime) ).
thf(601,plain,
! [A: $i] :
( ( icext @ uri_xsd_dateTimeStamp @ A )
=> ( icext @ uri_xsd_dateTime @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(422,axiom,
? [A: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_000) ).
thf(2121,plain,
? [A: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(150,axiom,
ip @ uri_owl_hasKey,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_type) ).
thf(906,plain,
ip @ uri_owl_hasKey,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(524,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_inverseOf @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
<=> ( iext @ B @ D @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(2729,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_inverseOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( ( iext @ A @ C @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( iext @ A @ C @ D ) ) ) )
=> ( iext @ uri_owl_inverseOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(331,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_distinctMembers @ A @ B )
=> ( ( icext @ uri_owl_AllDifferent @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_ext) ).
thf(1648,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_distinctMembers @ A @ B )
=> ( ( icext @ uri_owl_AllDifferent @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(399,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_002) ).
thf(2028,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) ) )
& ( ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(315,axiom,
iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(1595,plain,
iext @ uri_rdf_type @ uri_rdf_value @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(172,axiom,
ip @ uri_owl_allValuesFrom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_type) ).
thf(1007,plain,
ip @ uri_owl_allValuesFrom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(441,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onClass @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).
thf(2225,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onClass @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(324,axiom,
! [A: $i] :
( ( icext @ uri_owl_SymmetricProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( iext @ A @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_symmetric) ).
thf(1615,plain,
! [A: $i] :
( ( ( icext @ uri_owl_SymmetricProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( iext @ A @ C @ B ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( iext @ A @ C @ B ) ) )
=> ( icext @ uri_owl_SymmetricProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(492,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_differentFrom @ A @ B )
<=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(2525,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_differentFrom @ A @ B )
=> ( A != B ) )
& ( ( A != B )
=> ( iext @ uri_owl_differentFrom @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(355,axiom,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_type) ).
thf(1752,plain,
iext @ uri_rdf_type @ uri_rdf_type @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(333,axiom,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(1652,plain,
iext @ uri_rdf_type @ uri_rdf_first @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(552,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_qualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_ext) ).
thf(2817,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_qualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(297,axiom,
ip @ uri_owl_propertyDisjointWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_type) ).
thf(1488,plain,
ip @ uri_owl_propertyDisjointWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(149,axiom,
! [A: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_ext) ).
thf(904,plain,
! [A: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(164,axiom,
ioxp @ uri_owl_versionIRI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_type) ).
thf(975,plain,
ioxp @ uri_owl_versionIRI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(434,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_backwardCompatibleWith @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_ext) ).
thf(2188,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_backwardCompatibleWith @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(99,axiom,
ip @ uri_owl_disjointUnionOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_type) ).
thf(772,plain,
ip @ uri_owl_disjointUnionOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(138,axiom,
! [A: $i] :
( ( icext @ uri_xsd_short @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_ext) ).
thf(875,plain,
! [A: $i] :
( ( icext @ uri_xsd_short @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(13,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_hexbinary) ).
thf(577,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(74,axiom,
idc @ uri_xsd_long,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_type) ).
thf(711,plain,
idc @ uri_xsd_long,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(344,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_deprecated @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_ext) ).
thf(1701,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_deprecated @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(468,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_maxCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_ext) ).
thf(2398,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_maxCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(188,axiom,
ioap @ uri_owl_priorVersion,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_annot) ).
thf(1139,plain,
ioap @ uri_owl_priorVersion,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(272,axiom,
ic @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_type) ).
thf(1371,plain,
ic @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(329,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentProperty @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_ext) ).
thf(1635,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentProperty @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(182,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_003) ).
thf(1058,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) ) )
& ( ? [E: $i,F: $i,G: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(256,axiom,
iodp @ uri_xsd_maxLength,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_type) ).
thf(1332,plain,
iodp @ uri_xsd_maxLength,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(70,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_hexbinary) ).
thf(704,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_float @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(330,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ B ) )
=> ( ( C != E )
& ( C != G )
& ( E != G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_003) ).
thf(1638,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ B ) )
=> ( ( C != E )
& ( C != G )
& ( E != G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(428,axiom,
! [A: $i] :
( ( icext @ uri_owl_InverseFunctionalProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(2148,plain,
! [A: $i] :
( ( ( icext @ uri_owl_InverseFunctionalProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i,D: $i] :
( ( ( iext @ A @ B @ D )
& ( iext @ A @ C @ D ) )
=> ( B = C ) ) )
=> ( icext @ uri_owl_InverseFunctionalProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(459,axiom,
! [A: $i] :
( ( iext @ uri_owl_hasKey @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i,C: $i] :
( ( ( icext @ A @ B )
& ( icext @ A @ C ) )
=> ( B = C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_000) ).
thf(2319,plain,
! [A: $i] :
( ( ( iext @ uri_owl_hasKey @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i,C: $i] :
( ( ( icext @ A @ B )
& ( icext @ A @ C ) )
=> ( B = C ) ) ) )
& ( ( ( ic @ A )
& ! [B: $i,C: $i] :
( ( ( icext @ A @ B )
& ( icext @ A @ C ) )
=> ( B = C ) ) )
=> ( iext @ uri_owl_hasKey @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(261,axiom,
ip @ uri_owl_annotatedTarget,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_type) ).
thf(1356,plain,
ip @ uri_owl_annotatedTarget,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(464,axiom,
! [A: $i] :
( ( icext @ uri_owl_AsymmetricProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ~ ( iext @ A @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_asymmetric) ).
thf(2346,plain,
! [A: $i] :
( ( ( icext @ uri_owl_AsymmetricProperty @ A )
=> ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ~ ( iext @ A @ C @ B ) ) ) )
& ( ( ( ip @ A )
& ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ~ ( iext @ A @ C @ B ) ) )
=> ( icext @ uri_owl_AsymmetricProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(455,axiom,
! [A: $i] :
( ( iodp @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
thf(2311,plain,
! [A: $i] :
( ( ( iodp @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_DatatypeProperty )
=> ( iodp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(238,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_001) ).
thf(1282,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) )
& ( ( ? [E: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
& ! [E: $i,F: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(472,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ( ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_003) ).
thf(2415,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ( ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) ) ) )
& ( ( ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) )
& ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( iext @ B @ C @ G ) )
=> ( ( G = D )
| ( G = E )
| ( G = F ) ) ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(784,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(533,axiom,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Resource ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(2774,plain,
! [A: $i] :
( ( ic @ A )
=> ( iext @ uri_rdfs_subClassOf @ A @ uri_rdfs_Resource ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(86,axiom,
iodp @ uri_xsd_pattern,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_type) ).
thf(736,plain,
iodp @ uri_xsd_pattern,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(416,axiom,
iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(2097,plain,
iext @ uri_rdfs_domain @ uri_rdf__1 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(452,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ( ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_002) ).
thf(2284,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ( ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) ) ) )
& ( ( ? [D: $i,E: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( D != E ) )
& ! [D: $i,E: $i,F: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F ) )
=> ( ( F = D )
| ( F = E ) ) ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(9,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_real) ).
thf(567,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(87,axiom,
! [A: $i] :
( ( icext @ uri_xsd_nonNegativeInteger @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonnegativeinteger_integer) ).
thf(737,plain,
! [A: $i] :
( ( icext @ uri_xsd_nonNegativeInteger @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(31,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_xsd_float @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_float) ).
thf(616,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_xsd_float @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(276,axiom,
ic @ uri_owl_SymmetricProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_type) ).
thf(1376,plain,
ic @ uri_owl_SymmetricProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(241,axiom,
! [A: $i] :
( ( ix @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_cond_set) ).
thf(1307,plain,
! [A: $i] :
( ( ix @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(200,axiom,
! [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_ext) ).
thf(1175,plain,
! [A: $i] :
( ( icext @ uri_owl_AllDifferent @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(486,axiom,
iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(2510,plain,
iext @ uri_rdfs_range @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(167,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_xmlliteral) ).
thf(979,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_double @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(305,axiom,
! [A: $i] :
( ( icext @ uri_xsd_positiveInteger @ A )
=> ( icext @ uri_xsd_nonNegativeInteger @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger) ).
thf(1574,plain,
! [A: $i] :
( ( icext @ uri_xsd_positiveInteger @ A )
=> ( icext @ uri_xsd_nonNegativeInteger @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(175,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Literal @ A )
<=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_ext) ).
thf(1011,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Literal @ A )
=> ( lv @ A ) )
& ( ( lv @ A )
=> ( icext @ uri_rdfs_Literal @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(444,axiom,
? [A: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_000) ).
thf(2246,plain,
? [A: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(300,axiom,
ic @ uri_rdfs_Datatype,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).
thf(1492,plain,
ic @ uri_rdfs_Datatype,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(143,axiom,
ip @ uri_owl_targetValue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_type) ).
thf(890,plain,
ip @ uri_owl_targetValue,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(549,axiom,
iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(2812,plain,
iext @ uri_rdfs_range @ uri_rdfs_member @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(38,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_datetime) ).
thf(631,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_dateTime @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(328,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdf_type @ A @ B )
<=> ( icext @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(1630,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_type @ A @ B )
=> ( icext @ B @ A ) )
& ( ( icext @ B @ A )
=> ( iext @ uri_rdf_type @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(535,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(2780,plain,
iext @ uri_rdfs_domain @ uri_rdfs_domain @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(363,axiom,
iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(1821,plain,
iext @ uri_rdfs_range @ uri_rdfs_domain @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(374,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_001) ).
thf(1862,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(251,axiom,
ip @ uri_owl_maxCardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_type) ).
thf(1325,plain,
ip @ uri_owl_maxCardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(446,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ! [F: $i] :
~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_002) ).
thf(2252,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointClasses @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ! [F: $i] :
~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(424,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_maxQualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_ext) ).
thf(2129,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_maxQualifiedCardinality @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( icext @ uri_xml_nonNegativeInteger @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(462,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ uri_rdfs_member ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(2343,plain,
! [A: $i] :
( ( icext @ uri_rdfs_ContainerMembershipProperty @ A )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ uri_rdfs_member ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(194,axiom,
ic @ uri_owl_Nothing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_type) ).
thf(1162,plain,
ic @ uri_owl_Nothing,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(82,axiom,
! [A: $i] :
( ( icext @ uri_rdfs_Resource @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_ext) ).
thf(726,plain,
! [A: $i] :
( ( ( icext @ uri_rdfs_Resource @ A )
=> ( ir @ A ) )
& ( ( ir @ A )
=> ( icext @ uri_rdfs_Resource @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(538,axiom,
iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(2785,plain,
iext @ uri_rdfs_domain @ uri_rdf_type @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(503,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasSelf @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_ext) ).
thf(2593,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasSelf @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(35,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_boolean @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_boolean) ).
thf(626,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_boolean @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(156,axiom,
! [A: $i] :
( ( icext @ uri_xsd_float @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_ext) ).
thf(915,plain,
! [A: $i] :
( ( icext @ uri_xsd_float @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(201,axiom,
! [A: $i] :
~ ( ( icext @ uri_owl_real @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_real_xmlliteral) ).
thf(1177,plain,
! [A: $i] :
~ ( ( icext @ uri_owl_real @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(280,axiom,
ip @ uri_owl_annotatedSource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_type) ).
thf(1381,plain,
ip @ uri_owl_annotatedSource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(518,axiom,
iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(2710,plain,
iext @ uri_rdfs_domain @ uri_rdf_object @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(362,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(1820,plain,
iext @ uri_rdfs_domain @ uri_rdfs_comment @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(499,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( lv @ C )
& ( lv @ E )
& ( lv @ G )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_003) ).
thf(2578,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( lv @ C )
& ( lv @ E )
& ( lv @ G )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(341,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( B != D ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDifferent @ E )
& ( iext @ uri_owl_distinctMembers @ E @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_002) ).
thf(1688,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ( B != D ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDifferent @ E )
& ( iext @ uri_owl_distinctMembers @ E @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(154,axiom,
? [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_cond_set) ).
thf(912,plain,
? [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(367,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( idc @ G )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_003) ).
thf(1841,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( idc @ C )
& ( idc @ E )
& ( idc @ G )
& ( iext @ uri_owl_intersectionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(379,axiom,
iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(1926,plain,
iext @ uri_rdf_type @ uri_rdf_XMLLiteral @ uri_rdfs_Datatype,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(469,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( idc @ C )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_001) ).
thf(2401,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( idc @ C )
& ( iext @ uri_owl_unionOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(124,axiom,
iodp @ uri_xsd_minInclusive,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_type) ).
thf(851,plain,
iodp @ uri_xsd_minInclusive,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(50,axiom,
idc @ uri_xsd_nonPositiveInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_type) ).
thf(658,plain,
idc @ uri_xsd_nonPositiveInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(214,axiom,
ip @ uri_owl_distinctMembers,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_type) ).
thf(1213,plain,
ip @ uri_owl_distinctMembers,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(112,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_xmlliteral) ).
thf(827,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(181,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(1044,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(495,axiom,
iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(2550,plain,
iext @ uri_rdf_type @ uri_rdf_subject @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(293,axiom,
! [A: $i] :
( ( icext @ uri_xsd_token @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_ext) ).
thf(1445,plain,
! [A: $i] :
( ( icext @ uri_xsd_token @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(133,axiom,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(868,plain,
! [A: $i] :
( ( idc @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(542,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(2797,plain,
iext @ uri_rdfs_domain @ uri_rdfs_subClassOf @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(7,axiom,
! [A: $i] :
( ( icext @ uri_xsd_language @ A )
=> ( icext @ uri_xsd_token @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_language_token) ).
thf(563,plain,
! [A: $i] :
( ( icext @ uri_xsd_language @ A )
=> ( icext @ uri_xsd_token @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(350,axiom,
! [A: $i] :
( ( icext @ uri_owl_IrreflexiveReflexiveProperty @ A )
<=> ( ( ip @ A )
& ! [B: $i] :
~ ( iext @ A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_irreflexive) ).
thf(1726,plain,
! [A: $i] :
( ( ( icext @ uri_owl_IrreflexiveReflexiveProperty @ A )
=> ( ( ip @ A )
& ! [B: $i] :
~ ( iext @ A @ B @ B ) ) )
& ( ( ( ip @ A )
& ! [B: $i] :
~ ( iext @ A @ B @ B ) )
=> ( icext @ uri_owl_IrreflexiveReflexiveProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(267,axiom,
! [A: $i] :
( ( icext @ uri_owl_DeprecatedProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_ext) ).
thf(1364,plain,
! [A: $i] :
( ( icext @ uri_owl_DeprecatedProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(342,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ! [E: $i,F: $i] :
~ ( ( iext @ B @ E @ F )
& ( iext @ D @ E @ F ) ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_002) ).
thf(1694,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ! [E: $i,F: $i] :
~ ( ( iext @ B @ E @ F )
& ( iext @ D @ E @ F ) ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(159,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( B != D )
& ( B != F )
& ( D != F ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDifferent @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_003) ).
thf(922,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( B != D )
& ( B != F )
& ( D != F ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDifferent @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(326,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sourceIndividual @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
thf(1626,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_sourceIndividual @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(79,axiom,
idc @ uri_xsd_Name,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_type) ).
thf(722,plain,
idc @ uri_xsd_Name,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(311,axiom,
iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(1583,plain,
iext @ uri_rdfs_domain @ uri_rdf_first @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(17,axiom,
idc @ uri_owl_real,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_type) ).
thf(589,plain,
idc @ uri_owl_real,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(400,axiom,
iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(2037,plain,
iext @ uri_rdfs_range @ uri_rdfs_subPropertyOf @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(339,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_seeAlso @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_ext) ).
thf(1684,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_seeAlso @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(423,axiom,
! [A: $i] :
( ( ir @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_def) ).
thf(2124,plain,
! [A: $i] :
( ( ( ir @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Resource )
=> ( ir @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(45,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_real) ).
thf(648,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(473,axiom,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(2449,plain,
iext @ uri_rdf_type @ uri_rdf_rest @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(178,axiom,
ip @ uri_owl_differentFrom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_type) ).
thf(1018,plain,
ip @ uri_owl_differentFrom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(110,axiom,
! [A: $i] :
( ( icext @ uri_xsd_boolean @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_ext) ).
thf(823,plain,
! [A: $i] :
( ( icext @ uri_xsd_boolean @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(117,axiom,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_ext) ).
thf(836,plain,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(357,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_003) ).
thf(1758,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) )
& ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(198,axiom,
ic @ uri_owl_Ontology,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_type) ).
thf(1166,plain,
ic @ uri_owl_Ontology,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(419,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_topObjectProperty @ A @ B )
<=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_ext) ).
thf(2107,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_topObjectProperty @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) )
& ( ( ( ir @ A )
& ( ir @ B ) )
=> ( iext @ uri_owl_topObjectProperty @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(458,axiom,
iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(2318,plain,
iext @ uri_rdfs_subClassOf @ uri_rdfs_ContainerMembershipProperty @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(537,axiom,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(2784,plain,
iext @ uri_rdf_type @ uri_rdf__3 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(60,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedShort @ A )
=> ( icext @ uri_xsd_unsignedInt @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedshort_unsignedint) ).
thf(680,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedShort @ A )
=> ( icext @ uri_xsd_unsignedInt @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(184,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_002) ).
thf(1081,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) )
& ( ( ? [E: $i,F: $i] :
( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(94,axiom,
ioap @ uri_rdfs_seeAlso,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_type) ).
thf(749,plain,
ioap @ uri_rdfs_seeAlso,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(489,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_001) ).
thf(2513,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ uri_rdf_nil ) )
=> ? [C: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ C )
& ( iext @ uri_owl_members @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(14,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_plainliteral) ).
thf(580,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(135,axiom,
ioap @ uri_owl_deprecated,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_type) ).
thf(872,plain,
ioap @ uri_owl_deprecated,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(191,axiom,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_ext) ).
thf(1156,plain,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(392,axiom,
iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(2012,plain,
iext @ uri_rdfs_range @ uri_rdfs_comment @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(320,axiom,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(1605,plain,
iext @ uri_rdf_type @ uri_rdf__2 @ uri_rdf_Property,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(224,axiom,
idc @ uri_xsd_nonNegativeInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_type) ).
thf(1252,plain,
idc @ uri_xsd_nonNegativeInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(88,axiom,
! [A: $i] :
( ( icext @ uri_xsd_anyURI @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_ext) ).
thf(739,plain,
! [A: $i] :
( ( icext @ uri_xsd_anyURI @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(269,axiom,
ip @ uri_owl_disjointWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_type) ).
thf(1368,plain,
ip @ uri_owl_disjointWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(356,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( iext @ B @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(1753,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasValue @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( iext @ B @ D @ C ) )
& ( ( iext @ B @ D @ C )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(75,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_hexbinary) ).
thf(712,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(4,axiom,
idc @ uri_xsd_normalizedString,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_type) ).
thf(557,plain,
idc @ uri_xsd_normalizedString,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(65,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_real) ).
thf(690,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_hexBinary @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(318,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ B ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_002) ).
thf(1598,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_distinctMembers @ A @ B ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(405,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedTarget @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_ext) ).
thf(2060,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_annotatedTarget @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(354,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
thf(1743,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) )
=> ( iext @ uri_owl_propertyDisjointWith @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(71,axiom,
idc @ uri_xsd_double,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_type) ).
thf(707,plain,
idc @ uri_xsd_double,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(220,axiom,
ip @ uri_owl_sameAs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_type) ).
thf(1230,plain,
ip @ uri_owl_sameAs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(429,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ! [H: $i,I: $i] :
~ ( ( iext @ C @ H @ I )
& ( iext @ E @ H @ I ) )
& ! [H: $i,I: $i] :
~ ( ( iext @ C @ H @ I )
& ( iext @ G @ H @ I ) )
& ! [H: $i,I: $i] :
~ ( ( iext @ E @ H @ I )
& ( iext @ G @ H @ I ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_003) ).
thf(2160,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( ! [H: $i,I: $i] :
~ ( ( iext @ C @ H @ I )
& ( iext @ E @ H @ I ) )
& ! [H: $i,I: $i] :
~ ( ( iext @ C @ H @ I )
& ( iext @ G @ H @ I ) )
& ! [H: $i,I: $i] :
~ ( ( iext @ E @ H @ I )
& ( iext @ G @ H @ I ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(526,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_differentFrom @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_ext) ).
thf(2747,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_differentFrom @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(77,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_plainliteral) ).
thf(717,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_rdf_PlainLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(119,axiom,
ic @ uri_owl_DataRange,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_type) ).
thf(840,plain,
ic @ uri_owl_DataRange,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(439,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_incompatibleWith @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_ext) ).
thf(2219,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_incompatibleWith @ A @ B )
=> ( ( ix @ A )
& ( ix @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(106,axiom,
! [A: $i] :
( ( icext @ uri_xsd_double @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_ext) ).
thf(808,plain,
! [A: $i] :
( ( icext @ uri_xsd_double @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(309,axiom,
iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(1579,plain,
iext @ uri_rdfs_domain @ uri_rdf_predicate @ uri_rdfs_Statement,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(359,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_002) ).
thf(1790,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) )
& ( ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(476,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ A @ C )
& ( iext @ uri_owl_assertionProperty @ A @ B )
& ( iext @ uri_owl_targetIndividual @ A @ D ) )
=> ~ ( iext @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_if) ).
thf(2454,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ A @ C )
& ( iext @ uri_owl_assertionProperty @ A @ B )
& ( iext @ uri_owl_targetIndividual @ A @ D ) )
=> ~ ( iext @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(247,axiom,
ic @ uri_owl_Axiom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_type) ).
thf(1317,plain,
ic @ uri_owl_Axiom,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(366,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_001) ).
thf(1830,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_maxCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) ) )
& ( ! [D: $i,E: $i] :
( ( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E ) )
=> ( E = D ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(12,axiom,
idc @ uri_xsd_unsignedShort,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_type) ).
thf(576,plain,
idc @ uri_xsd_unsignedShort,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(335,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ! [G: $i,H: $i] :
~ ( ( iext @ B @ G @ H )
& ( iext @ D @ G @ H ) )
& ! [G: $i,H: $i] :
~ ( ( iext @ B @ G @ H )
& ( iext @ F @ G @ H ) )
& ! [G: $i,H: $i] :
~ ( ( iext @ D @ G @ H )
& ( iext @ F @ G @ H ) ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_003) ).
thf(1658,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ E )
& ( iext @ uri_rdf_first @ E @ F )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ! [G: $i,H: $i] :
~ ( ( iext @ B @ G @ H )
& ( iext @ D @ G @ H ) )
& ! [G: $i,H: $i] :
~ ( ( iext @ B @ G @ H )
& ( iext @ F @ G @ H ) )
& ! [G: $i,H: $i] :
~ ( ( iext @ D @ G @ H )
& ( iext @ F @ G @ H ) ) )
=> ? [G: $i] :
( ( icext @ uri_owl_AllDisjointProperties @ G )
& ( iext @ uri_owl_members @ G @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(465,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_002) ).
thf(2354,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_qualifiedCardinality @ A @ ( literal_typed @ dat_str_2 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) ) )
& ( ( ? [E: $i,F: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( E != F ) )
& ! [E: $i,F: $i,G: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G ) )
=> ( ( G = E )
| ( G = F ) ) ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(151,axiom,
idc @ uri_xsd_NMTOKEN,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_type) ).
thf(907,plain,
idc @ uri_xsd_NMTOKEN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(91,axiom,
! [A: $i] :
( ( icext @ uri_rdf_XMLLiteral @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_ext) ).
thf(744,plain,
! [A: $i] :
( ( icext @ uri_rdf_XMLLiteral @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(369,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
thf(1849,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(420,axiom,
! [A: $i] :
( ( ioap @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_def) ).
thf(2113,plain,
! [A: $i] :
( ( ( ioap @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_AnnotationProperty )
=> ( ioap @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(29,axiom,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( icext @ uri_xsd_decimal @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
thf(613,plain,
! [A: $i] :
( ( icext @ uri_xsd_integer @ A )
=> ( icext @ uri_xsd_decimal @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(217,axiom,
ip @ uri_owl_cardinality,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_type) ).
thf(1221,plain,
ip @ uri_owl_cardinality,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(22,axiom,
idc @ uri_xsd_base64Binary,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_type) ).
thf(600,plain,
idc @ uri_xsd_base64Binary,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(519,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minLength @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_ext) ).
thf(2711,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_minLength @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(173,axiom,
! [A: $i] :
( ( ip @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_set) ).
thf(1008,plain,
! [A: $i] :
( ( ip @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(347,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_ext) ).
thf(1717,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(273,axiom,
ip @ uri_owl_annotatedProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_type) ).
thf(1372,plain,
ip @ uri_owl_annotatedProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(229,axiom,
idc @ uri_rdfs_Literal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_type) ).
thf(1272,plain,
idc @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(501,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
<=> ( ( ip @ A )
& ( ip @ C )
& ! [D: $i,E: $i] :
( ( iext @ C @ D @ E )
=> ( iext @ A @ D @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_001) ).
thf(2584,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_propertyChainAxiom @ A @ B )
=> ( ( ip @ A )
& ( ip @ C )
& ! [D: $i,E: $i] :
( ( iext @ C @ D @ E )
=> ( iext @ A @ D @ E ) ) ) )
& ( ( ( ip @ A )
& ( ip @ C )
& ! [D: $i,E: $i] :
( ( iext @ C @ D @ E )
=> ( iext @ A @ D @ E ) ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(129,axiom,
iodp @ uri_xsd_maxExclusive,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_type) ).
thf(859,plain,
iodp @ uri_xsd_maxExclusive,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(403,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
thf(2056,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(285,axiom,
ip @ uri_owl_hasValue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_type) ).
thf(1404,plain,
ip @ uri_owl_hasValue,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(263,axiom,
! [A: $i] :
( ( icext @ uri_owl_IrreflexiveProperty @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_ext) ).
thf(1358,plain,
! [A: $i] :
( ( icext @ uri_owl_IrreflexiveProperty @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(487,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(2511,plain,
iext @ uri_rdfs_domain @ uri_rdfs_isDefinedBy @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(166,axiom,
ic @ uri_owl_FunctionalProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_type) ).
thf(978,plain,
ic @ uri_owl_FunctionalProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(189,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ A @ B )
<=> ( ( ic @ A )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( D = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(1140,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_oneOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(528,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_pattern @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_ext) ).
thf(2760,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_pattern @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(246,axiom,
ic @ uri_owl_DeprecatedProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_type) ).
thf(1316,plain,
ic @ uri_owl_DeprecatedProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(414,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_versionInfo @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_ext) ).
thf(2088,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_versionInfo @ A @ B )
=> ( ( ir @ A )
& ( ir @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(202,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_xmlliteral) ).
thf(1180,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(410,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( lv @ C )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_001) ).
thf(2078,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil )
& ( lv @ C )
& ( iext @ uri_owl_oneOf @ A @ B ) )
=> ( idc @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(436,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_003) ).
thf(2194,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_minQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) ) )
& ( ? [E: $i,F: $i,G: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( E != F )
& ( E != G )
& ( F != G ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(505,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
& ~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_002) ).
thf(2611,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
& ~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) )
& ( ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
& ~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
& ~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) )
& ( ( ( ( icext @ C @ F )
| ( icext @ E @ F ) )
& ~ ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_disjointUnionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(206,axiom,
idc @ uri_xsd_positiveInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_type) ).
thf(1189,plain,
idc @ uri_xsd_positiveInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(174,axiom,
ic @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_type) ).
thf(1010,plain,
ic @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(122,axiom,
! [A: $i] :
( ( icext @ uri_owl_OntologyProperty @ A )
<=> ( ioxp @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_ext) ).
thf(844,plain,
! [A: $i] :
( ( ( icext @ uri_owl_OntologyProperty @ A )
=> ( ioxp @ A ) )
& ( ( ioxp @ A )
=> ( icext @ uri_owl_OntologyProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(98,axiom,
ioxp @ uri_owl_incompatibleWith,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_onto) ).
thf(771,plain,
ioxp @ uri_owl_incompatibleWith,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(290,axiom,
ic @ uri_owl_DeprecatedClass,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_type) ).
thf(1421,plain,
ic @ uri_owl_DeprecatedClass,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(393,axiom,
iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(2013,plain,
iext @ uri_rdfs_domain @ uri_rdf_value @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(56,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_base64Binary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_base64binary) ).
thf(671,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_base64Binary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(361,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_length @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_ext) ).
thf(1817,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_length @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(454,axiom,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(2310,plain,
iext @ uri_rdfs_range @ uri_rdf_predicate @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(165,axiom,
! [A: $i] :
( ( icext @ uri_xsd_negativeInteger @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_ext) ).
thf(976,plain,
! [A: $i] :
( ( icext @ uri_xsd_negativeInteger @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(368,axiom,
! [A: $i] :
( ( ip @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_def) ).
thf(1844,plain,
! [A: $i] :
( ( ( ip @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdf_Property ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdf_Property )
=> ( ip @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(64,axiom,
! [A: $i] :
( ( icext @ uri_xsd_byte @ A )
=> ( icext @ uri_xsd_short @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_byte_short) ).
thf(688,plain,
! [A: $i] :
( ( icext @ uri_xsd_byte @ A )
=> ( icext @ uri_xsd_short @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(216,axiom,
! [A: $i] :
( ( icext @ uri_owl_ObjectProperty @ A )
<=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).
thf(1216,plain,
! [A: $i] :
( ( ( icext @ uri_owl_ObjectProperty @ A )
=> ( ip @ A ) )
& ( ( ip @ A )
=> ( icext @ uri_owl_ObjectProperty @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(144,axiom,
! [A: $i] :
( ( icext @ uri_owl_Thing @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(891,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Thing @ A )
=> ( ir @ A ) )
& ( ( ir @ A )
=> ( icext @ uri_owl_Thing @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(375,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( ir @ B )
& ( ip @ A )
& ( ir @ C )
& ~ ( iext @ A @ B @ C ) )
=> ? [D: $i] :
( ( iext @ uri_owl_sourceIndividual @ D @ B )
& ( iext @ uri_owl_assertionProperty @ D @ A )
& ( iext @ uri_owl_targetIndividual @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_fi) ).
thf(1866,plain,
! [A: $i,B: $i,C: $i] :
( ( ( ir @ B )
& ( ip @ A )
& ( ir @ C )
& ~ ( iext @ A @ B @ C ) )
=> ? [D: $i] :
( ( iext @ uri_owl_sourceIndividual @ D @ B )
& ( iext @ uri_owl_assertionProperty @ D @ A )
& ( iext @ uri_owl_targetIndividual @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(408,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
thf(2071,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(511,axiom,
iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(2658,plain,
iext @ uri_rdfs_domain @ uri_rdf__3 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(252,axiom,
ip @ uri_owl_hasSelf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_type) ).
thf(1326,plain,
ip @ uri_owl_hasSelf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(225,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( icext @ C @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_001) ).
thf(1253,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( icext @ C @ D ) )
& ( ( icext @ C @ D )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(283,axiom,
ic @ uri_owl_OntologyProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_type) ).
thf(1385,plain,
ic @ uri_owl_OntologyProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(426,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(2135,plain,
iext @ uri_rdfs_domain @ uri_rdfs_member @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(327,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(1629,plain,
iext @ uri_rdfs_domain @ uri_rdfs_seeAlso @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(364,axiom,
! [A: $i,B: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).
thf(1822,plain,
! [A: $i,B: $i] :
~ ( iext @ uri_owl_bottomDataProperty @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(83,axiom,
! [A: $i] :
( ( ic @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_set) ).
thf(731,plain,
! [A: $i] :
( ( ic @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(302,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_hasKey @ A @ B )
<=> ( ( ic @ A )
& ( ip @ C )
& ! [D: $i,E: $i,F: $i] :
( ( ( icext @ A @ D )
& ( icext @ A @ E )
& ( iext @ C @ D @ F )
& ( iext @ C @ E @ F ) )
=> ( D = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_001) ).
thf(1558,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_hasKey @ A @ B )
=> ( ( ic @ A )
& ( ip @ C )
& ! [D: $i,E: $i,F: $i] :
( ( ( icext @ A @ D )
& ( icext @ A @ E )
& ( iext @ C @ D @ F )
& ( iext @ C @ E @ F ) )
=> ( D = E ) ) ) )
& ( ( ( ic @ A )
& ( ip @ C )
& ! [D: $i,E: $i,F: $i] :
( ( ( icext @ A @ D )
& ( icext @ A @ E )
& ( iext @ C @ D @ F )
& ( iext @ C @ E @ F ) )
=> ( D = E ) ) )
=> ( iext @ uri_owl_hasKey @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(233,axiom,
! [A: $i] :
( ( icext @ uri_xsd_nonNegativeInteger @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_ext) ).
thf(1276,plain,
! [A: $i] :
( ( icext @ uri_xsd_nonNegativeInteger @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(314,axiom,
! [A: $i] :
( ( lv @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_def) ).
thf(1590,plain,
! [A: $i] :
( ( ( lv @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Literal )
=> ( lv @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(430,axiom,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
thf(2167,plain,
! [A: $i,B: $i,C: $i] :
( ( iext @ B @ A @ C )
=> ( ip @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(449,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
& ( iext @ uri_rdfs_subPropertyOf @ B @ C ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(2273,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
& ( iext @ uri_rdfs_subPropertyOf @ B @ C ) )
=> ( iext @ uri_rdfs_subPropertyOf @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(145,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedLong @ A )
=> ( icext @ uri_xsd_nonNegativeInteger @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger) ).
thf(896,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedLong @ A )
=> ( icext @ uri_xsd_nonNegativeInteger @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(417,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_topDataProperty @ A @ B )
<=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).
thf(2098,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_topDataProperty @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) )
& ( ( ( ir @ A )
& ( lv @ B ) )
=> ( iext @ uri_owl_topDataProperty @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(299,axiom,
idc @ uri_rdf_XMLLiteral,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_type) ).
thf(1491,plain,
idc @ uri_rdf_XMLLiteral,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(411,axiom,
iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(2081,plain,
iext @ uri_rdfs_range @ uri_rdf_rest @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(539,axiom,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(2786,plain,
iext @ uri_rdf_type @ uri_rdf__1 @ uri_rdfs_ContainerMembershipProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(155,axiom,
ip @ uri_owl_equivalentProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_type) ).
thf(914,plain,
ip @ uri_owl_equivalentProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(402,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
thf(2041,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_1 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onClass @ A @ C ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) ) )
& ( ! [E: $i,F: $i] :
( ( ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( iext @ B @ D @ F )
& ( icext @ C @ F ) )
=> ( F = E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(407,axiom,
! [A: $i] :
( ( idc @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_def) ).
thf(2066,plain,
! [A: $i] :
( ( ( idc @ A )
=> ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype ) )
& ( ( iext @ uri_rdf_type @ A @ uri_rdfs_Datatype )
=> ( idc @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(213,axiom,
ic @ uri_owl_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).
thf(1212,plain,
ic @ uri_owl_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(322,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ? [D: $i] : ( iext @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_000) ).
thf(1607,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_cardinality @ A @ ( literal_typed @ dat_str_0 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ? [D: $i] : ( iext @ B @ C @ D ) )
& ( ~ ? [D: $i] : ( iext @ B @ C @ D )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(147,axiom,
! [A: $i] :
( ( icext @ uri_xsd_dateTimeStamp @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_ext) ).
thf(899,plain,
! [A: $i] :
( ( icext @ uri_xsd_dateTimeStamp @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(242,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedLong @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_ext) ).
thf(1309,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedLong @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(481,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxExclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_ext) ).
thf(2494,plain,
! [A: $i,B: $i] :
( ( iext @ uri_xsd_maxExclusive @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(114,axiom,
iodp @ uri_xsd_length,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_type) ).
thf(832,plain,
iodp @ uri_xsd_length,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(62,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_float @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_float) ).
thf(684,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_anyURI @ A )
& ( icext @ uri_xsd_float @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(388,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ! [F: $i,G: $i] :
~ ( ( iext @ C @ F @ G )
& ( iext @ E @ F @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_002) ).
thf(2003,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDisjointProperties @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ! [F: $i,G: $i] :
~ ( ( iext @ C @ F @ G )
& ( iext @ E @ F @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(438,axiom,
iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(2218,plain,
iext @ uri_rdfs_domain @ uri_rdfs_label @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(169,axiom,
! [A: $i] :
( ( ioxp @ A )
=> ( ip @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_set) ).
thf(999,plain,
! [A: $i] :
( ( ioxp @ A )
=> ( ip @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(490,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(2517,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ( icext @ B @ C ) )
& ( ~ ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(236,axiom,
ioap @ uri_rdfs_comment,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_type) ).
thf(1280,plain,
ioap @ uri_rdfs_comment,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(308,axiom,
ic @ uri_owl_NamedIndividual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_type) ).
thf(1578,plain,
ic @ uri_owl_NamedIndividual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(447,axiom,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_003) ).
thf(2255,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_minCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) ) )
& ( ? [D: $i,E: $i,F: $i] :
( ( iext @ B @ C @ D )
& ( iext @ B @ C @ E )
& ( iext @ B @ C @ F )
& ( D != E )
& ( D != F )
& ( E != F ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(115,axiom,
iodp @ uri_xsd_maxInclusive,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_type) ).
thf(833,plain,
iodp @ uri_xsd_maxInclusive,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(279,axiom,
idc @ uri_xsd_language,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_type) ).
thf(1380,plain,
idc @ uri_xsd_language,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(132,axiom,
ip @ uri_owl_datatypeComplementOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_type) ).
thf(867,plain,
ip @ uri_owl_datatypeComplementOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(532,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(2768,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_someValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) ) )
& ( ? [E: $i] :
( ( iext @ B @ D @ E )
& ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(24,axiom,
! [A: $i] :
( ( icext @ uri_xsd_long @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_long_integer) ).
thf(603,plain,
! [A: $i] :
( ( icext @ uri_xsd_long @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(85,axiom,
ip @ uri_owl_onClass,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_type) ).
thf(735,plain,
ip @ uri_owl_onClass,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(126,axiom,
! [A: $i] :
( ( icext @ uri_owl_NegativePropertyAssertion @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_ext) ).
thf(854,plain,
! [A: $i] :
( ( icext @ uri_owl_NegativePropertyAssertion @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(390,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasKey @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_ext) ).
thf(2008,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_hasKey @ A @ B )
=> ( ( ic @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(385,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ A @ C )
& ( iext @ uri_owl_assertionProperty @ A @ B )
& ( iext @ uri_owl_targetValue @ A @ D ) )
=> ( ( iodp @ B )
& ~ ( iext @ B @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_if) ).
thf(1986,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_owl_sourceIndividual @ A @ C )
& ( iext @ uri_owl_assertionProperty @ A @ B )
& ( iext @ uri_owl_targetValue @ A @ D ) )
=> ( ( iodp @ B )
& ~ ( iext @ B @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(507,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onDatatype @ A @ B )
=> ( ( idc @ A )
& ( idc @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_ext) ).
thf(2636,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onDatatype @ A @ B )
=> ( ( idc @ A )
& ( idc @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(373,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_withRestrictions @ A @ B )
=> ( ( idc @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_ext) ).
thf(1859,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_withRestrictions @ A @ B )
=> ( ( idc @ A )
& ( icext @ uri_rdf_List @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(433,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(2186,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdfs_range @ A @ B )
& ( iext @ A @ C @ D ) )
=> ( icext @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(105,axiom,
ic @ uri_owl_AllDifferent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_type) ).
thf(807,plain,
ic @ uri_owl_AllDifferent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(210,axiom,
! [A: $i] :
( ( icext @ uri_owl_NamedIndividual @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_ext) ).
thf(1197,plain,
! [A: $i] :
( ( icext @ uri_owl_NamedIndividual @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(520,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_label @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_ext) ).
thf(2714,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_label @ A @ B )
=> ( ( ir @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(40,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_hexbinary) ).
thf(635,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_hexBinary @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(67,axiom,
! [A: $i] :
( ( icext @ uri_xsd_Name @ A )
=> ( icext @ uri_xsd_token @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_name_token) ).
thf(696,plain,
! [A: $i] :
( ( icext @ uri_xsd_Name @ A )
=> ( icext @ uri_xsd_token @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(158,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_002) ).
thf(918,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil )
& ( icext @ uri_owl_AllDifferent @ A )
& ( iext @ uri_owl_members @ A @ B ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(386,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_someValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
thf(1989,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_someValuesFrom @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(266,axiom,
ip @ uri_owl_inverseOf,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_type) ).
thf(1363,plain,
ip @ uri_owl_inverseOf,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(245,axiom,
! [A: $i] :
( ( icext @ uri_rdf_PlainLiteral @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_ext) ).
thf(1314,plain,
! [A: $i] :
( ( icext @ uri_rdf_PlainLiteral @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(258,axiom,
! [A: $i] :
( ( icext @ uri_owl_DeprecatedClass @ A )
=> ( ic @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_ext) ).
thf(1335,plain,
! [A: $i] :
( ( icext @ uri_owl_DeprecatedClass @ A )
=> ( ic @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(498,axiom,
! [A: $i] :
( ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil )
<=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
thf(2572,plain,
! [A: $i] :
( ( ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil )
=> ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) ) )
& ( ( ( ic @ A )
& ! [B: $i] :
~ ( icext @ A @ B ) )
=> ( iext @ uri_owl_unionOf @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(415,axiom,
! [A: $i] :
( ( iext @ uri_owl_propertyChainAxiom @ A @ uri_rdf_nil )
<=> ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_000) ).
thf(2091,plain,
! [A: $i] :
( ( ( iext @ uri_owl_propertyChainAxiom @ A @ uri_rdf_nil )
=> ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) ) )
& ( ( ( ip @ A )
& ! [B: $i] : ( iext @ A @ B @ B ) )
=> ( iext @ uri_owl_propertyChainAxiom @ A @ uri_rdf_nil ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(470,axiom,
! [A: $i] :
( ( ix @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_Ontology ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_def) ).
thf(2404,plain,
! [A: $i] :
( ( ( ix @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_Ontology ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_Ontology )
=> ( ix @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(78,axiom,
! [A: $i] :
( ( icext @ uri_xsd_nonPositiveInteger @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonpositiveinteger_integer) ).
thf(720,plain,
! [A: $i] :
( ( icext @ uri_xsd_nonPositiveInteger @ A )
=> ( icext @ uri_xsd_integer @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(461,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_ext) ).
thf(2340,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
=> ( ( ip @ A )
& ( ip @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(197,axiom,
ip @ uri_owl_equivalentClass,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
thf(1165,plain,
ip @ uri_owl_equivalentClass,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(397,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_datatypeComplementOf @ A @ B )
=> ! [C: $i] :
( ( icext @ A @ C )
<=> ( ( lv @ C )
& ~ ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_datatypecomplementof) ).
thf(2021,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_datatypeComplementOf @ A @ B )
=> ! [C: $i] :
( ( ( icext @ A @ C )
=> ( ( lv @ C )
& ~ ( icext @ B @ C ) ) )
& ( ( ( lv @ C )
& ~ ( icext @ B @ C ) )
=> ( icext @ A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(406,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_targetValue @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( lv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_ext) ).
thf(2063,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_targetValue @ A @ B )
=> ( ( icext @ uri_owl_NegativePropertyAssertion @ A )
& ( lv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(494,axiom,
iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(2549,plain,
iext @ uri_rdfs_range @ uri_rdf__3 @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(160,axiom,
! [A: $i] :
( ( icext @ uri_xsd_NCName @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_ext) ).
thf(928,plain,
! [A: $i] :
( ( icext @ uri_xsd_NCName @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(130,axiom,
! [A: $i] :
( ( icext @ uri_owl_Axiom @ A )
=> ( ir @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_ext) ).
thf(860,plain,
! [A: $i] :
( ( icext @ uri_owl_Axiom @ A )
=> ( ir @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(20,axiom,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( icext @ uri_owl_rational @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
thf(596,plain,
! [A: $i] :
( ( icext @ uri_xsd_decimal @ A )
=> ( icext @ uri_owl_rational @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(179,axiom,
ioap @ uri_rdfs_isDefinedBy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_type) ).
thf(1019,plain,
ioap @ uri_rdfs_isDefinedBy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(262,axiom,
ic @ uri_owl_ReflexiveProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_type) ).
thf(1357,plain,
ic @ uri_owl_ReflexiveProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(152,axiom,
! [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(908,plain,
! [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(80,axiom,
! [A: $i] :
( ( icext @ uri_xsd_normalizedString @ A )
=> ( icext @ uri_xsd_string @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_normalizedstring_string) ).
thf(723,plain,
! [A: $i] :
( ( icext @ uri_xsd_normalizedString @ A )
=> ( icext @ uri_xsd_string @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(27,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_float @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_float) ).
thf(607,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_float @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(109,axiom,
iodp @ uri_owl_bottomDataProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_type) ).
thf(822,plain,
iodp @ uri_owl_bottomDataProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(485,axiom,
! [A: $i] :
( ( ioxp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ix @ B )
& ( ix @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_inst) ).
thf(2507,plain,
! [A: $i] :
( ( ioxp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ix @ B )
& ( ix @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(317,axiom,
iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(1597,plain,
iext @ uri_rdfs_range @ uri_rdf_value @ uri_rdfs_Resource,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(168,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(982,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
& ( icext @ E @ H )
& ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(103,axiom,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral) ).
thf(803,plain,
! [A: $i] :
~ ( ( icext @ uri_rdf_PlainLiteral @ A )
& ( icext @ uri_rdf_XMLLiteral @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(334,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasSelf @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ( iext @ B @ D @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
thf(1653,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_hasSelf @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ( iext @ B @ D @ D ) )
& ( ( iext @ B @ D @ D )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(353,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ! [E: $i] :
~ ( ( icext @ B @ E )
& ( icext @ D @ E ) ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_002) ).
thf(1737,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( iext @ uri_rdf_first @ A @ B )
& ( iext @ uri_rdf_rest @ A @ C )
& ( iext @ uri_rdf_first @ C @ D )
& ( iext @ uri_rdf_rest @ C @ uri_rdf_nil )
& ! [E: $i] :
~ ( ( icext @ B @ E )
& ( icext @ D @ E ) ) )
=> ? [E: $i] :
( ( icext @ uri_owl_AllDisjointClasses @ E )
& ( iext @ uri_owl_members @ E @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(51,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_owl_real @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_real) ).
thf(659,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_owl_real @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(396,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onDataRange @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( idc @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_ext) ).
thf(2018,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_onDataRange @ A @ B )
=> ( ( icext @ uri_owl_Restriction @ A )
& ( idc @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(404,axiom,
iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(2059,plain,
iext @ uri_rdfs_domain @ uri_rdf_rest @ uri_rdf_List,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(42,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_double @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_double) ).
thf(639,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_dateTime @ A )
& ( icext @ uri_xsd_double @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(58,axiom,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_float @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_float) ).
thf(676,plain,
! [A: $i] :
~ ( ( icext @ uri_xsd_boolean @ A )
& ( icext @ uri_xsd_float @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(475,axiom,
iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(2453,plain,
iext @ uri_rdfs_range @ uri_rdfs_label @ uri_rdfs_Literal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(431,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(2170,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_allValuesFrom @ A @ C )
& ( iext @ uri_owl_onProperty @ A @ B ) )
=> ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) ) )
& ( ! [E: $i] :
( ( iext @ B @ D @ E )
=> ( icext @ C @ E ) )
=> ( icext @ A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(72,axiom,
! [A: $i] :
( ( icext @ uri_xsd_NMTOKEN @ A )
=> ( icext @ uri_xsd_token @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nmtoken_token) ).
thf(708,plain,
! [A: $i] :
( ( icext @ uri_xsd_NMTOKEN @ A )
=> ( icext @ uri_xsd_token @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(432,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(2177,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) )
=> ( iext @ uri_owl_disjointWith @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(255,axiom,
ip @ uri_owl_members,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_type) ).
thf(1331,plain,
ip @ uri_owl_members,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(321,axiom,
iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(1606,plain,
iext @ uri_rdfs_range @ uri_rdfs_range @ uri_rdfs_Class,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(338,axiom,
! [A: $i] :
( ( iodp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( lv @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).
thf(1681,plain,
! [A: $i] :
( ( iodp @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( lv @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(204,axiom,
ic @ uri_owl_DatatypeProperty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_type) ).
thf(1184,plain,
ic @ uri_owl_DatatypeProperty,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(409,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(2074,plain,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subPropertyOf @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
( ( iext @ A @ C @ D )
=> ( iext @ B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(435,axiom,
! [A: $i] :
( ( ioap @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_inst) ).
thf(2191,plain,
! [A: $i] :
( ( ioap @ A )
=> ! [B: $i,C: $i] :
( ( iext @ A @ B @ C )
=> ( ( ir @ B )
& ( ir @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(295,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_003) ).
thf(1449,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_owl_maxQualifiedCardinality @ A @ ( literal_typed @ dat_str_3 @ uri_xsd_nonNegativeInteger ) )
& ( iext @ uri_owl_onProperty @ A @ B )
& ( iext @ uri_owl_onDataRange @ A @ C ) )
=> ( ( iodp @ B )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) ) )
& ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( lv @ E )
& ( iext @ B @ D @ E )
& ( icext @ C @ E )
& ( lv @ F )
& ( iext @ B @ D @ F )
& ( icext @ C @ F )
& ( lv @ G )
& ( iext @ B @ D @ G )
& ( icext @ C @ G )
& ( lv @ H )
& ( iext @ B @ D @ H )
& ( icext @ C @ H ) )
=> ( ( H = E )
| ( H = F )
| ( H = G ) ) )
=> ( icext @ A @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(360,axiom,
! [A: $i] :
( ( ioxp @ A )
<=> ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_def) ).
thf(1812,plain,
! [A: $i] :
( ( ( ioxp @ A )
=> ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty ) )
& ( ( iext @ uri_rdf_type @ A @ uri_owl_OntologyProperty )
=> ( ioxp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(288,axiom,
! [A: $i] :
( ( icext @ uri_xsd_unsignedInt @ A )
=> ( lv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_ext) ).
thf(1417,plain,
! [A: $i] :
( ( icext @ uri_xsd_unsignedInt @ A )
=> ( lv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(376,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_003) ).
thf(1870,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_disjointUnionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) ) )
& ( ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) ) )
& ( ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ E @ H ) )
& ~ ( ( icext @ C @ H )
& ( icext @ G @ H ) )
& ~ ( ( icext @ E @ H )
& ( icext @ G @ H ) ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_disjointUnionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(27552,plain,
$false,
inference(e,[status(thm)],[645,1337,629,2787,2331,555,666,2744,1369,1190,1855,2808,2590,1422,741,2014,873,1305,1158,2512,1596,2104,2776,2659,878,655,1705,1671,1137,1735,715,1275,1327,698,945,1164,2316,1342,747,1222,930,1196,898,1914,1576,841,885,1935,1386,2082,1623,651,1001,2723,1127,2763,565,1366,2136,1265,570,2814,2667,2269,917,1577,2488,1191,1992,2466,1132,1330,1264,1323,619,838,1313,1279,1922,638,1379,2767,606,1232,1704,870,2388,2533,2456,2222,2027,1373,2650,834,1858,806,1183,2017,1489,2237,1415,1383,1020,766,687,1377,2281,634,877,774,2809,2639,1201,2804,849,1447,2483,2750,1405,1651,2011,1306,1199,2118,810,2660,1163,1311,2307,2409,746,2249,2596,1580,862,1570,598,820,561,1487,1370,2132,1274,2673,1723,910,825,2805,693,630,1602,625,665,1687,1787,1079,2345,1281,2228,710,842,2653,2565,879,852,2820,583,830,682,2211,1573,974,742,2498,874,1270,2801,1017,615,725,1006,2726,593,610,857,1360,1936,2709,1227,2694,1425,1160,1361,554,669,901,642,1584,1214,2038,1493,2798,1700,1937,2551,1016,590,2085,1612,679,2317,1155,2781,1419,622,701,1382,1231,654,1668,1932,2581,2766,1720,605,1825,1324,2504,2450,1588,2006,2497,1852,2813,1333,2634,657,765,558,674,1167,1185,662,1732,2788,1318,773,586,1278,750,1251,2391,2275,2717,1273,1927,856,573,1374,2524,733,601,2121,906,2729,1648,2028,1595,1007,2225,1615,2525,1752,1652,2817,1488,904,975,2188,772,875,577,711,1701,2398,1139,1371,1635,1058,1332,704,1638,2148,2319,1356,2346,2311,1282,2415,784,2774,736,2097,2284,567,737,616,1376,1307,1175,2510,979,1574,1011,2246,1492,890,2812,631,1630,2780,1821,1862,1325,2252,2129,2343,1162,726,2785,2593,626,915,1177,1381,2710,1820,2578,1688,912,1841,1926,2401,851,658,1213,827,1044,2550,1445,868,2797,563,1726,1364,1694,922,1626,722,1583,589,2037,1684,2124,648,2449,1018,823,836,1758,1166,2107,2318,2784,680,1081,749,2513,580,872,1156,2012,1605,1252,739,1368,1753,712,557,690,1598,2060,1743,707,1230,2160,2747,717,840,2219,808,1579,1790,2454,1317,1830,576,1658,2354,907,744,1849,2113,613,1221,600,2711,1008,1717,1372,1272,2584,859,2056,1404,1358,2511,978,1140,2760,1316,2088,1180,2078,2194,2611,1189,1010,844,771,1421,2013,671,1817,2310,976,1844,688,1216,891,1866,2071,2658,1326,1253,1385,2135,1629,1822,731,1558,1276,1590,2167,2273,896,2098,1491,2081,2786,914,2041,2066,1212,1607,899,1309,2494,832,684,2003,2218,999,2517,1280,1578,2255,833,1380,867,2768,603,735,854,2008,1986,2636,1859,2186,807,1197,2714,635,696,918,1989,1363,1314,1335,2572,2091,2404,720,2340,1165,2021,2063,2549,928,860,596,1019,1357,908,723,607,822,2507,1597,982,803,1653,1737,659,2018,2059,639,676,2453,2170,708,2177,1331,1606,1681,1184,2074,2191,1449,1812,1417,1870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 20:58:34 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.96/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.86/1.15 % [INFO] Parsing done (235ms).
% 1.86/1.16 % [INFO] Running in sequential loop mode.
% 2.53/1.36 % [INFO] eprover registered as external prover.
% 2.53/1.37 % [INFO] cvc4 registered as external prover.
% 2.53/1.37 % [INFO] Scanning for conjecture ...
% 2.74/1.47 % [INFO] Found a conjecture and 559 axioms. Running axiom selection ...
% 3.22/1.61 % [INFO] Axiom selection finished. Selected 551 axioms (removed 8 axioms).
% 4.03/1.83 % [INFO] Problem is first-order (TPTP FOF).
% 4.13/1.85 % [INFO] Type checking passed.
% 4.13/1.85 % [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 ...
% 67.12/14.24 % External prover 'e' found a proof!
% 67.12/14.24 % [INFO] Killing All external provers ...
% 67.12/14.25 % Time passed: 13700ms (effective reasoning time: 13085ms)
% 67.12/14.25 % 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)>
% 67.12/14.25 % 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, 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_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_comment_type, premise_rdfbased_sem_restrict_minqcr_inst_subj_one, 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
% 67.12/14.25 % No. of inferences in proof: 1106
% 67.12/14.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 13700 ms resp. 13085 ms w/o parsing
% 67.59/14.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 67.59/14.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------