%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB003+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:50:27 AM UTC 2026
% Result : Theorem 35.27s 11.29s
% Output : Refutation 37.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 552
% Syntax : Number of formulae : 1106 ( 398 unt; 0 typ; 0 def)
% Number of atoms : 4221 ( 266 equ; 0 cnn)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 11952 ( 310 ~; 99 |;1981 &;8527 @)
% ( 126 <=>; 909 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 174 ( 172 usr; 160 con; 0-3 aty)
% Number of variables : 2117 ( 0 ^;1947 !; 170 ?;2117 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_ex_p_decl,type,
uri_ex_p: $i ).
thf(uri_ex_s_decl,type,
uri_ex_s: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_xsd_int_decl,type,
uri_xsd_int: $i ).
thf(uri_xsd_long_decl,type,
uri_xsd_long: $i ).
thf(idc_decl,type,
idc: $i > $o ).
thf(uri_xsd_normalizedString_decl,type,
uri_xsd_normalizedString: $i ).
thf(uri_xsd_anyURI_decl,type,
uri_xsd_anyURI: $i ).
thf(uri_xsd_double_decl,type,
uri_xsd_double: $i ).
thf(uri_owl_rational_decl,type,
uri_owl_rational: $i ).
thf(uri_owl_real_decl,type,
uri_owl_real: $i ).
thf(uri_xsd_language_decl,type,
uri_xsd_language: $i ).
thf(uri_xsd_token_decl,type,
uri_xsd_token: $i ).
thf(uri_xsd_unsignedByte_decl,type,
uri_xsd_unsignedByte: $i ).
thf(uri_xsd_unsignedShort_decl,type,
uri_xsd_unsignedShort: $i ).
thf(uri_xsd_boolean_decl,type,
uri_xsd_boolean: $i ).
thf(uri_xsd_float_decl,type,
uri_xsd_float: $i ).
thf(uri_xsd_dateTime_decl,type,
uri_xsd_dateTime: $i ).
thf(uri_rdf_PlainLiteral_decl,type,
uri_rdf_PlainLiteral: $i ).
thf(uri_xsd_hexBinary_decl,type,
uri_xsd_hexBinary: $i ).
thf(uri_xsd_base64Binary_decl,type,
uri_xsd_base64Binary: $i ).
thf(uri_xsd_decimal_decl,type,
uri_xsd_decimal: $i ).
thf(uri_xsd_negativeInteger_decl,type,
uri_xsd_negativeInteger: $i ).
thf(uri_xsd_nonPositiveInteger_decl,type,
uri_xsd_nonPositiveInteger: $i ).
thf(uri_xsd_dateTimeStamp_decl,type,
uri_xsd_dateTimeStamp: $i ).
thf(uri_xsd_integer_decl,type,
uri_xsd_integer: $i ).
thf(uri_xsd_short_decl,type,
uri_xsd_short: $i ).
thf(uri_xsd_unsignedLong_decl,type,
uri_xsd_unsignedLong: $i ).
thf(uri_xsd_unsignedInt_decl,type,
uri_xsd_unsignedInt: $i ).
thf(uri_xsd_NCName_decl,type,
uri_xsd_NCName: $i ).
thf(uri_xsd_Name_decl,type,
uri_xsd_Name: $i ).
thf(uri_xsd_string_decl,type,
uri_xsd_string: $i ).
thf(uri_xsd_byte_decl,type,
uri_xsd_byte: $i ).
thf(uri_xsd_NMTOKEN_decl,type,
uri_xsd_NMTOKEN: $i ).
thf(uri_rdfs_Resource_decl,type,
uri_rdfs_Resource: $i ).
thf(ir_decl,type,
ir: $i > $o ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_owl_Annotation_decl,type,
uri_owl_Annotation: $i ).
thf(ip_decl,type,
ip: $i > $o ).
thf(uri_owl_onClass_decl,type,
uri_owl_onClass: $i ).
thf(iodp_decl,type,
iodp: $i > $o ).
thf(uri_xsd_pattern_decl,type,
uri_xsd_pattern: $i ).
thf(uri_xsd_nonNegativeInteger_decl,type,
uri_xsd_nonNegativeInteger: $i ).
thf(lv_decl,type,
lv: $i > $o ).
thf(uri_owl_Thing_decl,type,
uri_owl_Thing: $i ).
thf(uri_rdf_XMLLiteral_decl,type,
uri_rdf_XMLLiteral: $i ).
thf(uri_owl_topObjectProperty_decl,type,
uri_owl_topObjectProperty: $i ).
thf(uri_owl_Restriction_decl,type,
uri_owl_Restriction: $i ).
thf(ioap_decl,type,
ioap: $i > $o ).
thf(uri_rdfs_seeAlso_decl,type,
uri_rdfs_seeAlso: $i ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_hasKey_decl,type,
uri_owl_hasKey: $i ).
thf(uri_rdf_Property_decl,type,
uri_rdf_Property: $i ).
thf(ioxp_decl,type,
ioxp: $i > $o ).
thf(uri_owl_incompatibleWith_decl,type,
uri_owl_incompatibleWith: $i ).
thf(uri_owl_disjointUnionOf_decl,type,
uri_owl_disjointUnionOf: $i ).
thf(uri_owl_someValuesFrom_decl,type,
uri_owl_someValuesFrom: $i ).
thf(uri_owl_AllDifferent_decl,type,
uri_owl_AllDifferent: $i ).
thf(uri_owl_members_decl,type,
uri_owl_members: $i ).
thf(uri_owl_unionOf_decl,type,
uri_owl_unionOf: $i ).
thf(uri_rdf_langRange_decl,type,
uri_rdf_langRange: $i ).
thf(uri_owl_maxQualifiedCardinality_decl,type,
uri_owl_maxQualifiedCardinality: $i ).
thf(literal_typed_decl,type,
literal_typed: $i > $i > $i ).
thf(dat_str_0_decl,type,
dat_str_0: $i ).
thf(uri_owl_onProperty_decl,type,
uri_owl_onProperty: $i ).
thf(uri_owl_onDataRange_decl,type,
uri_owl_onDataRange: $i ).
thf(uri_owl_SymmetricProperty_decl,type,
uri_owl_SymmetricProperty: $i ).
thf(uri_owl_bottomDataProperty_decl,type,
uri_owl_bottomDataProperty: $i ).
thf(uri_xsd_length_decl,type,
uri_xsd_length: $i ).
thf(uri_xsd_maxInclusive_decl,type,
uri_xsd_maxInclusive: $i ).
thf(uri_owl_DataRange_decl,type,
uri_owl_DataRange: $i ).
thf(uri_owl_OntologyProperty_decl,type,
uri_owl_OntologyProperty: $i ).
thf(uri_xsd_minInclusive_decl,type,
uri_xsd_minInclusive: $i ).
thf(uri_owl_NegativePropertyAssertion_decl,type,
uri_owl_NegativePropertyAssertion: $i ).
thf(uri_rdfs_label_decl,type,
uri_rdfs_label: $i ).
thf(uri_xsd_maxExclusive_decl,type,
uri_xsd_maxExclusive: $i ).
thf(uri_owl_Axiom_decl,type,
uri_owl_Axiom: $i ).
thf(uri_rdfs_Class_decl,type,
uri_rdfs_Class: $i ).
thf(uri_owl_datatypeComplementOf_decl,type,
uri_owl_datatypeComplementOf: $i ).
thf(uri_owl_deprecated_decl,type,
uri_owl_deprecated: $i ).
thf(uri_owl_onDatatype_decl,type,
uri_owl_onDatatype: $i ).
thf(uri_owl_imports_decl,type,
uri_owl_imports: $i ).
thf(uri_owl_AnnotationProperty_decl,type,
uri_owl_AnnotationProperty: $i ).
thf(uri_owl_targetValue_decl,type,
uri_owl_targetValue: $i ).
thf(uri_owl_InverseFunctionalProperty_decl,type,
uri_owl_InverseFunctionalProperty: $i ).
thf(uri_owl_TransitiveProperty_decl,type,
uri_owl_TransitiveProperty: $i ).
thf(uri_owl_equivalentProperty_decl,type,
uri_owl_equivalentProperty: $i ).
thf(uri_owl_versionInfo_decl,type,
uri_owl_versionInfo: $i ).
thf(dat_str_2_decl,type,
dat_str_2: $i ).
thf(uri_owl_AllDisjointProperties_decl,type,
uri_owl_AllDisjointProperties: $i ).
thf(uri_owl_versionIRI_decl,type,
uri_owl_versionIRI: $i ).
thf(uri_owl_FunctionalProperty_decl,type,
uri_owl_FunctionalProperty: $i ).
thf(uri_owl_intersectionOf_decl,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_allValuesFrom_decl,type,
uri_owl_allValuesFrom: $i ).
thf(uri_rdfs_Literal_decl,type,
uri_rdfs_Literal: $i ).
thf(uri_owl_minQualifiedCardinality_decl,type,
uri_owl_minQualifiedCardinality: $i ).
thf(uri_owl_differentFrom_decl,type,
uri_owl_differentFrom: $i ).
thf(uri_rdfs_isDefinedBy_decl,type,
uri_rdfs_isDefinedBy: $i ).
thf(uri_owl_oneOf_decl,type,
uri_owl_oneOf: $i ).
thf(dat_str_3_decl,type,
dat_str_3: $i ).
thf(uri_owl_qualifiedCardinality_decl,type,
uri_owl_qualifiedCardinality: $i ).
thf(uri_owl_priorVersion_decl,type,
uri_owl_priorVersion: $i ).
thf(uri_owl_ObjectProperty_decl,type,
uri_owl_ObjectProperty: $i ).
thf(uri_xsd_positiveInteger_decl,type,
uri_xsd_positiveInteger: $i ).
thf(uri_owl_Nothing_decl,type,
uri_owl_Nothing: $i ).
thf(uri_owl_AllDisjointClasses_decl,type,
uri_owl_AllDisjointClasses: $i ).
thf(uri_owl_equivalentClass_decl,type,
uri_owl_equivalentClass: $i ).
thf(uri_owl_Ontology_decl,type,
uri_owl_Ontology: $i ).
thf(dat_str_1_decl,type,
dat_str_1: $i ).
thf(uri_owl_complementOf_decl,type,
uri_owl_complementOf: $i ).
thf(uri_owl_DatatypeProperty_decl,type,
uri_owl_DatatypeProperty: $i ).
thf(ix_decl,type,
ix: $i > $o ).
thf(uri_xsd_minExclusive_decl,type,
uri_xsd_minExclusive: $i ).
thf(uri_owl_NamedIndividual_decl,type,
uri_owl_NamedIndividual: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(uri_owl_distinctMembers_decl,type,
uri_owl_distinctMembers: $i ).
thf(uri_owl_cardinality_decl,type,
uri_owl_cardinality: $i ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(uri_owl_topDataProperty_decl,type,
uri_owl_topDataProperty: $i ).
thf(uri_owl_bottomObjectProperty_decl,type,
uri_owl_bottomObjectProperty: $i ).
thf(uri_rdfs_comment_decl,type,
uri_rdfs_comment: $i ).
thf(uri_xsd_minLength_decl,type,
uri_xsd_minLength: $i ).
thf(uri_owl_propertyChainAxiom_decl,type,
uri_owl_propertyChainAxiom: $i ).
thf(uri_owl_DeprecatedProperty_decl,type,
uri_owl_DeprecatedProperty: $i ).
thf(uri_owl_backwardCompatibleWith_decl,type,
uri_owl_backwardCompatibleWith: $i ).
thf(uri_owl_assertionProperty_decl,type,
uri_owl_assertionProperty: $i ).
thf(uri_owl_maxCardinality_decl,type,
uri_owl_maxCardinality: $i ).
thf(uri_owl_hasSelf_decl,type,
uri_owl_hasSelf: $i ).
thf(uri_owl_withRestrictions_decl,type,
uri_owl_withRestrictions: $i ).
thf(uri_xsd_maxLength_decl,type,
uri_xsd_maxLength: $i ).
thf(uri_owl_DeprecatedClass_decl,type,
uri_owl_DeprecatedClass: $i ).
thf(uri_rdfs_Datatype_decl,type,
uri_rdfs_Datatype: $i ).
thf(uri_owl_annotatedTarget_decl,type,
uri_owl_annotatedTarget: $i ).
thf(uri_owl_ReflexiveProperty_decl,type,
uri_owl_ReflexiveProperty: $i ).
thf(uri_owl_IrreflexiveProperty_decl,type,
uri_owl_IrreflexiveProperty: $i ).
thf(uri_owl_minCardinality_decl,type,
uri_owl_minCardinality: $i ).
thf(uri_owl_inverseOf_decl,type,
uri_owl_inverseOf: $i ).
thf(uri_owl_disjointWith_decl,type,
uri_owl_disjointWith: $i ).
thf(uri_owl_annotatedProperty_decl,type,
uri_owl_annotatedProperty: $i ).
thf(uri_owl_annotatedSource_decl,type,
uri_owl_annotatedSource: $i ).
thf(uri_owl_AsymmetricProperty_decl,type,
uri_owl_AsymmetricProperty: $i ).
thf(uri_owl_hasValue_decl,type,
uri_owl_hasValue: $i ).
thf(uri_owl_sourceIndividual_decl,type,
uri_owl_sourceIndividual: $i ).
thf(uri_owl_propertyDisjointWith_decl,type,
uri_owl_propertyDisjointWith: $i ).
thf(uri_owl_targetIndividual_decl,type,
uri_owl_targetIndividual: $i ).
thf(uri_rdfs_domain_decl,type,
uri_rdfs_domain: $i ).
thf(uri_rdf_predicate_decl,type,
uri_rdf_predicate: $i ).
thf(uri_rdfs_Statement_decl,type,
uri_rdfs_Statement: $i ).
thf(literal_plain_decl,type,
literal_plain: $i > $i ).
thf(dat_str_foo_decl,type,
dat_str_foo: $i ).
thf(uri_rdf_List_decl,type,
uri_rdf_List: $i ).
thf(uri_rdfs_subClassOf_decl,type,
uri_rdfs_subClassOf: $i ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_rdf_value_decl,type,
uri_rdf_value: $i ).
thf(uri_rdfs_range_decl,type,
uri_rdfs_range: $i ).
thf(uri_rdf__2_decl,type,
uri_rdf__2: $i ).
thf(uri_rdf__1_decl,type,
uri_rdf__1: $i ).
thf(uri_owl_IrreflexiveReflexiveProperty_decl,type,
uri_owl_IrreflexiveReflexiveProperty: $i ).
thf(uri_rdfs_Seq_decl,type,
uri_rdfs_Seq: $i ).
thf(uri_rdfs_Container_decl,type,
uri_rdfs_Container: $i ).
thf(uri_rdf_subject_decl,type,
uri_rdf_subject: $i ).
thf(uri_rdfs_subPropertyOf_decl,type,
uri_rdfs_subPropertyOf: $i ).
thf(uri_rdf_Bag_decl,type,
uri_rdf_Bag: $i ).
thf(uri_xml_nonNegativeInteger_decl,type,
uri_xml_nonNegativeInteger: $i ).
thf(uri_rdfs_member_decl,type,
uri_rdfs_member: $i ).
thf(uri_rdf_Alt_decl,type,
uri_rdf_Alt: $i ).
thf(uri_rdfs_ContainerMembershipProperty_decl,type,
uri_rdfs_ContainerMembershipProperty: $i ).
thf(uri_rdf_object_decl,type,
uri_rdf_object: $i ).
thf(uri_rdf__3_decl,type,
uri_rdf__3: $i ).
thf(103,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_xmlliteral) ).
thf(809,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(274,axiom,
uri_owl_IrreflexiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_type) ).
thf(1411,plain,
uri_owl_IrreflexiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(172,axiom,
uri_owl_allValuesFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_type) ).
thf(1024,plain,
uri_owl_allValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(395,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_ext) ).
thf(2109,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(338,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
thf(1729,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [H: $i,I: $i,J: $i,K: $i] :
( ( ( K @ ( J @ ( G @ iext ) ) )
& ( J @ ( I @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
=> ( K @ ( H @ ( A @ iext ) ) ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(451,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_000) ).
thf(2412,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(365,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomDataProperty @ iext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_ext) ).
thf(1899,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomDataProperty @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(472,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
thf(2559,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(160,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_ext) ).
thf(941,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(100,axiom,
uri_owl_someValuesFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_type) ).
thf(777,plain,
uri_owl_someValuesFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(53,axiom,
uri_xsd_int @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_type) ).
thf(666,plain,
uri_xsd_int @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(376,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_fi) ).
thf(1950,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ ir )
& ( A @ ip )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetIndividual @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(426,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_ext) ).
thf(2250,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(178,axiom,
uri_owl_differentFrom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_type) ).
thf(1036,plain,
uri_owl_differentFrom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(510,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
thf(2822,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(257,axiom,
! [A: $i] :
( ( A @ ( uri_owl_real @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_ext) ).
thf(1369,plain,
! [A: $i] :
( ( A @ ( uri_owl_real @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(520,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_label @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_ext) ).
thf(2889,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_label @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(356,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_type) ).
thf(1823,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(197,axiom,
uri_owl_equivalentClass @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
thf(1190,plain,
uri_owl_equivalentClass @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(237,axiom,
uri_xsd_minLength @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_type) ).
thf(1315,plain,
uri_xsd_minLength @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(466,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_002) ).
thf(2499,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(386,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetValue @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ( ~ ( D @ ( C @ ( B @ iext ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_if) ).
thf(2077,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetValue @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ( ~ ( D @ ( C @ ( B @ iext ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(205,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_001) ).
thf(1211,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(541,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(2976,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(269,axiom,
uri_owl_disjointWith @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_type) ).
thf(1406,plain,
uri_owl_disjointWith @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(61,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
thf(683,plain,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(524,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
thf(2908,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(305,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger) ).
thf(1618,plain,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(167,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_xmlliteral) ).
thf(994,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(529,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_ext) ).
thf(2947,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(88,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_anyURI @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_ext) ).
thf(741,plain,
! [A: $i] :
( ( A @ ( uri_xsd_anyURI @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(380,axiom,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_type) ).
thf(2014,plain,
uri_rdfs_Datatype @ ( uri_rdf_XMLLiteral @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(397,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
=> ( ( B @ idc )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_ext) ).
thf(2114,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
=> ( ( B @ idc )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(47,axiom,
uri_owl_rational @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_type) ).
thf(655,plain,
uri_owl_rational @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
thf(597,plain,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ ( uri_owl_rational @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(293,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_ext) ).
thf(1486,plain,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(285,axiom,
uri_owl_hasValue @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_type) ).
thf(1443,plain,
uri_owl_hasValue @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(505,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_002) ).
thf(2776,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
& ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(486,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_000) ).
thf(2659,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(532,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
thf(2953,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(266,axiom,
uri_owl_inverseOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_type) ).
thf(1401,plain,
uri_owl_inverseOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(351,axiom,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) )
<=> ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_irreflexive) ).
thf(1793,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_IrreflexiveReflexiveProperty @ icext ) )
=> ( ! [B: $i] :
~ ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(299,axiom,
uri_rdf_XMLLiteral @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_type) ).
thf(1533,plain,
uri_rdf_XMLLiteral @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
thf(614,plain,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ ( uri_xsd_decimal @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(331,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_003) ).
thf(1692,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(58,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_float) ).
thf(677,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(182,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_003) ).
thf(1078,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(477,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ~ ( D @ ( C @ ( B @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_if) ).
thf(2607,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( A @ ( uri_owl_targetIndividual @ iext ) ) )
& ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) ) )
=> ~ ( D @ ( C @ ( B @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(403,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
thf(2141,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(106,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_double @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_ext) ).
thf(814,plain,
! [A: $i] :
( ( A @ ( uri_xsd_double @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(459,axiom,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
thf(2459,plain,
uri_rdf_Property @ ( uri_rdfs_ContainerMembershipProperty @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(181,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(1063,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(158,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_002) ).
thf(930,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(55,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ ( uri_xsd_Name @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_ncname_name) ).
thf(670,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NCName @ icext ) )
=> ( A @ ( uri_xsd_Name @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(343,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
~ ( ( F @ ( E @ ( D @ iext ) ) )
& ( F @ ( E @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_002) ).
thf(1756,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i,F: $i] :
~ ( ( F @ ( E @ ( D @ iext ) ) )
& ( F @ ( E @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(233,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_ext) ).
thf(1310,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(189,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D = C ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(1164,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D = C )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D = C ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(436,axiom,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_inst) ).
thf(2316,plain,
! [A: $i] :
( ( A @ ioap )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(241,axiom,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_cond_set) ).
thf(1342,plain,
! [A: $i] :
( ( A @ ix )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(148,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_xmlliteral) ).
thf(913,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(109,axiom,
uri_owl_bottomDataProperty @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomdataproperty_type) ).
thf(829,plain,
uri_owl_bottomDataProperty @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(537,axiom,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_003) ).
thf(2972,plain,
uri_rdf_Property @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(72,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nmtoken_token) ).
thf(709,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(116,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_ext) ).
thf(841,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(319,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_if_002) ).
thf(1645,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( C != E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(249,axiom,
uri_owl_backwardCompatibleWith @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_annot) ).
thf(1359,plain,
uri_owl_backwardCompatibleWith @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(302,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_001) ).
thf(1601,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( E @ ( C @ iext ) ) )
& ( F @ ( D @ ( C @ iext ) ) )
& ( E @ ( A @ icext ) )
& ( D @ ( A @ icext ) ) )
=> ( D = E ) )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(254,axiom,
uri_owl_withRestrictions @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_type) ).
thf(1366,plain,
uri_owl_withRestrictions @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(296,axiom,
uri_owl_sourceIndividual @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_type) ).
thf(1529,plain,
uri_owl_sourceIndividual @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(449,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] : ( D @ ( A @ icext ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_000) ).
thf(2405,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] : ( D @ ( A @ icext ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(309,axiom,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_domain) ).
thf(1623,plain,
uri_rdfs_Statement @ ( uri_rdf_predicate @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(361,axiom,
! [A: $i] :
( ( A @ ioxp )
<=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_def) ).
thf(1887,plain,
! [A: $i] :
( ( ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioxp ) )
& ( ( A @ ioxp )
=> ( uri_owl_OntologyProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(215,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_ext) ).
thf(1243,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(348,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_ext) ).
thf(1782,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(401,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_range) ).
thf(2136,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(332,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_ext) ).
thf(1703,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(335,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
thf(1709,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasSelf @ iext ) ) ) )
=> ! [D: $i] :
( ( ( D @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(489,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_001) ).
thf(2667,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(495,axiom,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_subject_type) ).
thf(2708,plain,
uri_rdf_Property @ ( uri_rdf_subject @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(359,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedSource @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_ext) ).
thf(1860,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedSource @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(16,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
thf(587,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_rdf_PlainLiteral @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(235,axiom,
uri_owl_bottomObjectProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_type) ).
thf(1313,plain,
uri_owl_bottomObjectProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(400,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_002) ).
thf(2126,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(291,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_xmlliteral) ).
thf(1462,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(484,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_inst) ).
thf(2654,plain,
! [A: $i] :
( ( A @ ioxp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ix )
& ( B @ ix ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(312,axiom,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_domain) ).
thf(1628,plain,
uri_rdf_List @ ( uri_rdf_first @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(272,axiom,
uri_rdf_Property @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_type) ).
thf(1409,plain,
uri_rdf_Property @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(80,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ ( uri_xsd_string @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_normalizedstring_string) ).
thf(724,plain,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ ( uri_xsd_string @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(324,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_ext) ).
thf(1660,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(227,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DatatypeProperty @ icext ) )
<=> ( A @ iodp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_ext) ).
thf(1298,plain,
! [A: $i] :
( ( ( A @ iodp )
=> ( A @ ( uri_owl_DatatypeProperty @ icext ) ) )
& ( ( A @ ( uri_owl_DatatypeProperty @ icext ) )
=> ( A @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(69,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_plainliteral) ).
thf(702,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(94,axiom,
uri_rdfs_seeAlso @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_type) ).
thf(751,plain,
uri_rdfs_seeAlso @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(411,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ lv )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_001) ).
thf(2185,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( C @ lv )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(287,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_ext) ).
thf(1455,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(159,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_003) ).
thf(934,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(198,axiom,
uri_owl_Ontology @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_type) ).
thf(1191,plain,
uri_owl_Ontology @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(144,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Thing @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(902,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_owl_Thing @ icext ) ) )
& ( ( A @ ( uri_owl_Thing @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(5,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_double) ).
thf(559,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(352,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_ext) ).
thf(1800,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(260,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_002) ).
thf(1379,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(131,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Class @ icext ) )
<=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).
thf(870,plain,
! [A: $i] :
( ( ( A @ ic )
=> ( A @ ( uri_rdfs_Class @ icext ) ) )
& ( ( A @ ( uri_rdfs_Class @ icext ) )
=> ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(25,axiom,
uri_xsd_short @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_type) ).
thf(606,plain,
uri_xsd_short @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(553,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionIRI @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_ext) ).
thf(3014,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionIRI @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(252,axiom,
uri_owl_hasSelf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_type) ).
thf(1362,plain,
uri_owl_hasSelf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(183,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_lv) ).
thf(1100,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(512,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_003) ).
thf(2829,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__3 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(264,axiom,
uri_owl_minCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_type) ).
thf(1398,plain,
uri_owl_minCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(135,axiom,
uri_owl_deprecated @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_type) ).
thf(881,plain,
uri_owl_deprecated @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(277,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_base64Binary @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_ext) ).
thf(1415,plain,
! [A: $i] :
( ( A @ ( uri_xsd_base64Binary @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(154,axiom,
? [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_cond_set) ).
thf(924,plain,
? [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(292,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_001) ).
thf(1465,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(325,axiom,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
<=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_symmetric) ).
thf(1664,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_SymmetricProperty @ icext ) ) )
& ( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(385,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_003) ).
thf(2027,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(102,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(789,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(18,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_float) ).
thf(591,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(521,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_distinctMembers @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_003) ).
thf(2893,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D != F )
& ( B != F )
& ( B != D )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_distinctMembers @ iext ) ) )
& ( G @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(483,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_000) ).
thf(2650,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(44,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_plainliteral) ).
thf(646,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(360,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_002) ).
thf(1864,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(327,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
thf(1677,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sourceIndividual @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(259,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
<=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).
thf(1373,plain,
! [A: $i] :
( ( ( A @ idc )
=> ( A @ ( uri_rdfs_Datatype @ icext ) ) )
& ( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(546,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_mincardinality_ext) ).
thf(2996,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(279,axiom,
uri_xsd_language @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_type) ).
thf(1418,plain,
uri_xsd_language @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(456,axiom,
! [A: $i] :
( ( A @ iodp )
<=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_def) ).
thf(2451,plain,
! [A: $i] :
( ( ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ iodp ) )
& ( ( A @ iodp )
=> ( uri_owl_DatatypeProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(423,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_000) ).
thf(2236,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(33,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_real) ).
thf(623,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(329,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(1682,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(112,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_xmlliteral) ).
thf(834,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(11,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_plainliteral) ).
thf(574,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(427,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_domain) ).
thf(2254,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(192,axiom,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_ext) ).
thf(1183,plain,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(223,axiom,
uri_rdfs_Class @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).
thf(1283,plain,
uri_rdfs_Class @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_datetimestamp_datetime) ).
thf(602,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(430,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( E @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_003) ).
thf(2281,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( E @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( G @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) )
& ! [H: $i,I: $i] :
~ ( ( I @ ( H @ ( E @ iext ) ) )
& ( I @ ( H @ ( C @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(133,axiom,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
thf(877,plain,
! [A: $i] :
( ( A @ idc )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(462,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_ext) ).
thf(2483,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(308,axiom,
uri_owl_NamedIndividual @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_type) ).
thf(1622,plain,
uri_owl_NamedIndividual @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(261,axiom,
uri_owl_annotatedTarget @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_type) ).
thf(1394,plain,
uri_owl_annotatedTarget @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(402,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
thf(2137,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_inverseOf @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(246,axiom,
uri_owl_DeprecatedProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_type) ).
thf(1351,plain,
uri_owl_DeprecatedProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(51,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_real) ).
thf(660,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(200,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDifferent @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_ext) ).
thf(1201,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDifferent @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(518,axiom,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_domain) ).
thf(2884,plain,
uri_rdfs_Statement @ ( uri_rdf_object @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(214,axiom,
uri_owl_distinctMembers @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_distinctmembers_type) ).
thf(1242,plain,
uri_owl_distinctMembers @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_ext) ).
thf(849,plain,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(202,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_xmlliteral) ).
thf(1206,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(152,axiom,
! [A: $i] : ( A @ ir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
thf(920,plain,
! [A: $i] : ( A @ ir ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(461,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
thf(2473,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(229,axiom,
uri_rdfs_Literal @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_type) ).
thf(1306,plain,
uri_rdfs_Literal @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(398,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_datatypecomplementof) ).
thf(2118,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ! [C: $i] :
( ( ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ~ ( C @ ( B @ icext ) )
& ( C @ lv ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(334,axiom,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_first_type) ).
thf(1708,plain,
uri_rdf_Property @ ( uri_rdf_first @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(422,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
thf(2232,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(346,axiom,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_domain) ).
thf(1768,plain,
uri_rdf_Property @ ( uri_rdfs_range @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(188,axiom,
uri_owl_priorVersion @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_annot) ).
thf(1163,plain,
uri_owl_priorVersion @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(378,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
thf(2000,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i] :
( ( ( H @ ( G @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) )
=> ( H @ ( F @ ( A @ iext ) ) ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(315,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_def) ).
thf(1636,plain,
! [A: $i] :
( ( ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(146,axiom,
uri_owl_Annotation @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_type) ).
thf(910,plain,
uri_owl_Annotation @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(91,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_xmlliteral_ext) ).
thf(746,plain,
! [A: $i] :
( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(474,axiom,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_rest_type) ).
thf(2601,plain,
uri_rdf_Property @ ( uri_rdf_rest @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(101,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_if_003) ).
thf(778,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( E != G )
& ( C != G )
& ( C != E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(126,axiom,
! [A: $i] :
( ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_ext) ).
thf(862,plain,
! [A: $i] :
( ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(207,axiom,
uri_owl_Restriction @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_type) ).
thf(1217,plain,
uri_owl_Restriction @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(36,axiom,
uri_xsd_unsignedLong @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_type) ).
thf(630,plain,
uri_xsd_unsignedLong @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(476,axiom,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_range) ).
thf(2606,plain,
uri_rdfs_Literal @ ( uri_rdfs_label @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(357,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( C @ ( D @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
thf(1824,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_hasValue @ iext ) ) ) )
=> ! [D: $i] :
( ( ( C @ ( D @ ( B @ iext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( C @ ( D @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(542,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
thf(2986,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(381,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_def) ).
thf(2015,plain,
! [A: $i] :
( ( ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( uri_rdfs_Class @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(283,axiom,
uri_owl_OntologyProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_type) ).
thf(1423,plain,
uri_owl_OntologyProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(149,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_ext) ).
thf(916,plain,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(368,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_003) ).
thf(1920,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(134,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_int_ext) ).
thf(879,plain,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(288,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_ext) ).
thf(1457,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(310,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_003) ).
thf(1624,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( G @ idc )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(204,axiom,
uri_owl_DatatypeProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatypeproperty_type) ).
thf(1210,plain,
uri_owl_DatatypeProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(174,axiom,
uri_rdfs_Resource @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_type) ).
thf(1027,plain,
uri_rdfs_Resource @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(270,axiom,
uri_owl_qualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_type) ).
thf(1407,plain,
uri_owl_qualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(314,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
thf(1634,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(339,axiom,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_inst) ).
thf(1740,plain,
! [A: $i] :
( ( A @ iodp )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ lv )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(119,axiom,
uri_owl_DataRange @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_type) ).
thf(847,plain,
uri_owl_DataRange @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ ( uri_xsd_unsignedShort @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort) ).
thf(566,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ ( uri_xsd_unsignedShort @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(416,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_000) ).
thf(2200,plain,
! [A: $i] :
( ( ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(478,axiom,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
thf(2609,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_TransitiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( D @ ( B @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(110,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_boolean @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_ext) ).
thf(830,plain,
! [A: $i] :
( ( A @ ( uri_xsd_boolean @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(267,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedproperty_ext) ).
thf(1402,plain,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(250,axiom,
uri_owl_assertionProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_type) ).
thf(1360,plain,
uri_owl_assertionProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(67,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_name_token) ).
thf(697,plain,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(404,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
thf(2157,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(390,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_reflex) ).
thf(2100,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(353,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_instsub_literal) ).
thf(1804,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_Datatype @ icext ) )
=> ( uri_rdfs_Literal @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(497,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_003) ).
thf(2724,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ! [H: $i] :
~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(480,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_ext) ).
thf(2638,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(429,axiom,
! [A: $i] :
( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
thf(2268,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_InverseFunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( D @ ( B @ ( A @ iext ) ) ) )
=> ( B = C ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(123,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_language_ext) ).
thf(857,plain,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(433,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
<=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(2300,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ! [C: $i] :
~ ( ( C @ ( B @ icext ) )
& ( C @ ( A @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(13,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_hexbinary) ).
thf(578,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(300,axiom,
uri_rdfs_Datatype @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).
thf(1534,plain,
uri_rdfs_Datatype @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(170,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( A @ ( uri_rdfs_Resource @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ir_def) ).
thf(1017,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Resource @ icext ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( A @ ( uri_rdfs_Resource @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(443,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).
thf(2359,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_range @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( B @ icext ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(538,axiom,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_domain) ).
thf(2973,plain,
uri_rdfs_Resource @ ( uri_rdf_type @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(496,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [B: $i] :
( ( B @ ( A @ icext ) )
<=> ( B @ ir ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_000) ).
thf(2709,plain,
! [A: $i] :
( ( ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [B: $i] :
( ( ( B @ ir )
=> ( B @ ( A @ icext ) ) )
& ( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(211,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_ext) ).
thf(1227,plain,
! [A: $i] :
( ( A @ ( uri_xsd_Name @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(548,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_priorVersion @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_ext) ).
thf(3001,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_priorVersion @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(163,axiom,
uri_owl_AllDisjointProperties @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_type) ).
thf(989,plain,
uri_owl_AllDisjointProperties @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(460,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_000) ).
thf(2460,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [B: $i,C: $i] :
( ( ( C @ ( A @ icext ) )
& ( B @ ( A @ icext ) ) )
=> ( B = C ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(138,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_short_ext) ).
thf(884,plain,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(175,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Literal @ icext ) )
<=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_literal_ext) ).
thf(1028,plain,
! [A: $i] :
( ( ( A @ lv )
=> ( A @ ( uri_rdfs_Literal @ icext ) ) )
& ( ( A @ ( uri_rdfs_Literal @ icext ) )
=> ( A @ lv ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(251,axiom,
uri_owl_maxCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_type) ).
thf(1361,plain,
uri_owl_maxCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(547,axiom,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_domain) ).
thf(3000,plain,
uri_rdf_Property @ ( uri_rdfs_subPropertyOf @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(1,conjecture,
? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(554,plain,
~ ? [A: $i] : ( A @ ( uri_ex_s @ ( uri_ex_p @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(513,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(2830,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(290,axiom,
uri_owl_DeprecatedClass @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_type) ).
thf(1461,plain,
uri_owl_DeprecatedClass @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(372,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] : ( D @ ( A @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_000) ).
thf(1937,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] : ( D @ ( A @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(394,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_domain) ).
thf(2108,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(488,axiom,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_001) ).
thf(2666,plain,
uri_rdf_Property @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(318,axiom,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_value_range) ).
thf(1644,plain,
uri_rdfs_Resource @ ( uri_rdf_value @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(280,axiom,
uri_owl_annotatedSource @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedsource_type) ).
thf(1419,plain,
uri_owl_annotatedSource @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(143,axiom,
uri_owl_targetValue @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_type) ).
thf(901,plain,
uri_owl_targetValue @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(452,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_002) ).
thf(2419,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(284,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_003) ).
thf(1424,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( ( L @ ( I @ ( G @ iext ) ) )
& ( L @ ( H @ ( G @ iext ) ) )
& ( K @ ( I @ ( E @ iext ) ) )
& ( K @ ( H @ ( E @ iext ) ) )
& ( J @ ( I @ ( C @ iext ) ) )
& ( J @ ( H @ ( C @ iext ) ) )
& ( I @ ( A @ icext ) )
& ( H @ ( A @ icext ) ) )
=> ( H = I ) )
& ( G @ ip )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(435,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_backwardCompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_ext) ).
thf(2312,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_backwardCompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(552,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_qualifiedcardinality_ext) ).
thf(3010,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(276,axiom,
uri_owl_SymmetricProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_type) ).
thf(1414,plain,
uri_owl_SymmetricProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(415,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionInfo @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_ext) ).
thf(2196,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_versionInfo @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(424,axiom,
! [A: $i] :
( ( A @ ir )
<=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_def) ).
thf(2240,plain,
! [A: $i] :
( ( ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ir ) )
& ( ( A @ ir )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(17,axiom,
uri_owl_real @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_real_type) ).
thf(590,plain,
uri_owl_real @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(388,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_002) ).
thf(2085,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(186,axiom,
! [A: $i] :
( ( A @ ic )
<=> ( A @ ( uri_rdfs_Class @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_ic_def) ).
thf(1155,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Class @ icext ) )
=> ( A @ ic ) )
& ( ( A @ ic )
=> ( A @ ( uri_rdfs_Class @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(340,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_seeAlso @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_seealso_ext) ).
thf(1744,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_seeAlso @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(113,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_ext) ).
thf(837,plain,
! [A: $i] :
( ( A @ ( uri_xsd_NMTOKEN @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(536,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_ext) ).
thf(2968,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_maxLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(86,axiom,
uri_xsd_pattern @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_type) ).
thf(738,plain,
uri_xsd_pattern @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(297,axiom,
uri_owl_propertyDisjointWith @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertydisjointwith_type) ).
thf(1530,plain,
uri_owl_propertyDisjointWith @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(147,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_ext) ).
thf(911,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTimeStamp @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(78,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonpositiveinteger_integer) ).
thf(721,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonPositiveInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(473,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_003) ).
thf(2566,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
& ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(336,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( D @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( D @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_003) ).
thf(1715,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( D @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( F @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ! [G: $i,H: $i] :
~ ( ( H @ ( G @ ( D @ iext ) ) )
& ( H @ ( G @ ( B @ iext ) ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointProperties @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(549,axiom,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_member_range) ).
thf(3005,plain,
uri_rdfs_Resource @ ( uri_rdfs_member @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(503,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasself_ext) ).
thf(2756,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasSelf @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(311,axiom,
dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).
thf(1627,plain,
dat_str_foo @ literal_plain @ ( uri_ex_s @ ( uri_ex_p @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(222,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F = E )
| ( F = C ) ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_002) ).
thf(1263,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F = E )
| ( F = C ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F = E )
| ( F = C ) ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F = E )
| ( F = C ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F = E )
| ( F = C ) ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(168,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
thf(997,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(455,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_predicate_range) ).
thf(2450,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(527,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( D @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( B @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( D @ icext ) )
& ( G @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_003) ).
thf(2932,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( D @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( F @ icext ) )
& ( G @ ( B @ icext ) ) )
& ! [G: $i] :
~ ( ( G @ ( D @ icext ) )
& ( G @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( E @ ( uri_rdf_rest @ iext ) ) )
& ( F @ ( E @ ( uri_rdf_first @ iext ) ) )
& ( E @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [G: $i] :
( ( A @ ( G @ ( uri_owl_members @ iext ) ) )
& ( G @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(399,axiom,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_range) ).
thf(2125,plain,
uri_rdfs_Resource @ ( uri_rdf_subject @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(226,axiom,
uri_xsd_unsignedByte @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_type) ).
thf(1297,plain,
uri_xsd_unsignedByte @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(492,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
<=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(2681,plain,
! [A: $i,B: $i] :
( ( ( A != B )
=> ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( A != B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(463,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_instsub_member) ).
thf(2487,plain,
! [A: $i] :
( ( A @ ( uri_rdfs_ContainerMembershipProperty @ icext ) )
=> ( uri_rdfs_member @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(515,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_003) ).
thf(2845,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ ( B @ iext ) ) )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( G = F )
| ( G = E )
| ( G = D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(522,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_cardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_ext) ).
thf(2900,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_cardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(447,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i] :
~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_if_002) ).
thf(2387,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointClasses @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i] :
~ ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(442,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).
thf(2355,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onClass @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(199,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_data_001) ).
thf(1192,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(418,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) )
<=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).
thf(2208,plain,
! [A: $i,B: $i] :
( ( ( ( B @ lv )
& ( A @ ir ) )
=> ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_topDataProperty @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(517,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_range) ).
thf(2883,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(177,axiom,
uri_owl_minQualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_type) ).
thf(1035,plain,
uri_owl_minQualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(4,axiom,
uri_xsd_normalizedString @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_type) ).
thf(558,plain,
uri_xsd_normalizedString @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(194,axiom,
uri_owl_Nothing @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_type) ).
thf(1187,plain,
uri_owl_Nothing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(193,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_ext) ).
thf(1185,plain,
! [A: $i] :
( ( A @ ( uri_xsd_positiveInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(438,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_000) ).
thf(2338,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(155,axiom,
uri_owl_equivalentProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_type) ).
thf(926,plain,
uri_owl_equivalentProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(213,axiom,
uri_owl_Class @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).
thf(1241,plain,
uri_owl_Class @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(469,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxcardinality_ext) ).
thf(2546,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(413,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_002) ).
thf(2189,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(545,axiom,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_dat_xmlliteral_sub) ).
thf(2995,plain,
uri_rdfs_Literal @ ( uri_rdf_XMLLiteral @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(77,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_plainliteral) ).
thf(718,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(141,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_002) ).
thf(888,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(409,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
thf(2176,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_disjointWith @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(432,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
thf(2292,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( C @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i] :
( ( E @ ( D @ ( B @ iext ) ) )
=> ( E @ ( C @ icext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(523,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_imports @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_ext) ).
thf(2904,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_imports @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(475,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_isDefinedBy @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_ext) ).
thf(2602,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_isDefinedBy @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(64,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ ( uri_xsd_short @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_byte_short) ).
thf(689,plain,
! [A: $i] :
( ( A @ ( uri_xsd_byte @ icext ) )
=> ( A @ ( uri_xsd_short @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(83,axiom,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_set) ).
thf(733,plain,
! [A: $i] :
( ( A @ ic )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(22,axiom,
uri_xsd_base64Binary @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_base64binary_type) ).
thf(601,plain,
uri_xsd_base64Binary @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(217,axiom,
uri_owl_cardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_cardinality_type) ).
thf(1251,plain,
uri_owl_cardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(345,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_deprecated @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_deprecated_ext) ).
thf(1764,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_deprecated @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(15,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_hexbinary) ).
thf(584,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
thf(562,plain,
! [A: $i] :
( ( A @ ( uri_owl_rational @ icext ) )
=> ( A @ ( uri_owl_real @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(66,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_plainliteral) ).
thf(694,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(117,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_ext) ).
thf(843,plain,
! [A: $i] :
( ( A @ ( uri_xsd_decimal @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(412,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_range) ).
thf(2188,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(89,axiom,
uri_owl_Thing @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).
thf(743,plain,
uri_owl_Thing @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(294,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointproperties_ext) ).
thf(1488,plain,
! [A: $i] :
( ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(306,axiom,
uri_owl_targetIndividual @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetindividual_type) ).
thf(1620,plain,
uri_owl_targetIndividual @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(464,axiom,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_object_type) ).
thf(2489,plain,
uri_rdf_Property @ ( uri_rdf_object @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(321,axiom,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_container_n_type_002) ).
thf(1652,plain,
uri_rdf_Property @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(370,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
thf(1929,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(12,axiom,
uri_xsd_unsignedShort @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedshort_type) ).
thf(577,plain,
uri_xsd_unsignedShort @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(73,axiom,
uri_xsd_hexBinary @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_type) ).
thf(711,plain,
uri_xsd_hexBinary @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(301,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_003) ).
thf(1535,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
& ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(508,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_001) ).
thf(2806,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(544,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
thf(2991,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(405,axiom,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_rest_domain) ).
thf(2161,plain,
uri_rdf_List @ ( uri_rdf_rest @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(349,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
thf(1786,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_domain @ iext ) ) ) )
=> ( C @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(333,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_001) ).
thf(1707,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(258,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedClass @ icext ) )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_deprecatedclass_ext) ).
thf(1371,plain,
! [A: $i] :
( ( A @ ( uri_owl_DeprecatedClass @ icext ) )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(234,axiom,
uri_owl_InverseFunctionalProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
thf(1312,plain,
uri_owl_InverseFunctionalProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(28,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_double) ).
thf(611,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(75,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_hexbinary) ).
thf(713,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(502,axiom,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomObjectProperty @ iext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_bottomobjectproperty_ext) ).
thf(2753,plain,
! [A: $i,B: $i] :
~ ( B @ ( A @ ( uri_owl_bottomObjectProperty @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(407,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetValue @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_targetvalue_ext) ).
thf(2166,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_targetValue @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(219,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_xmlliteral) ).
thf(1258,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(209,axiom,
uri_xsd_minExclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_type) ).
thf(1224,plain,
uri_xsd_minExclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(56,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_base64Binary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_base64binary) ).
thf(672,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_base64Binary @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(457,axiom,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_alt_sub) ).
thf(2457,plain,
uri_rdfs_Container @ ( uri_rdf_Alt @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(363,axiom,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_domain) ).
thf(1897,plain,
uri_rdfs_Resource @ ( uri_rdfs_comment @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(151,axiom,
uri_xsd_NMTOKEN @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nmtoken_type) ).
thf(919,plain,
uri_xsd_NMTOKEN @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_long_integer) ).
thf(604,plain,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(439,axiom,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_label_domain) ).
thf(2346,plain,
uri_rdfs_Resource @ ( uri_rdfs_label @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(203,axiom,
uri_owl_complementOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_complementof_type) ).
thf(1209,plain,
uri_owl_complementOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(481,axiom,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_collection_first_range) ).
thf(2642,plain,
uri_rdfs_Resource @ ( uri_rdf_first @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(446,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_ext) ).
thf(2383,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(543,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_assertionproperty_ext) ).
thf(2987,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_assertionProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_NegativePropertyAssertion @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(453,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_002) ).
thf(2422,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
& ? [D: $i,E: $i] :
( ( D != E )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(354,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i] :
~ ( ( E @ ( D @ icext ) )
& ( E @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_002) ).
thf(1806,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ! [E: $i] :
~ ( ( E @ ( D @ icext ) )
& ( E @ ( B @ icext ) ) )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_members @ iext ) ) )
& ( E @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(425,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_ext) ).
thf(2246,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(45,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_real) ).
thf(649,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(507,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDatatype @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_ext) ).
thf(2802,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onDatatype @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(30,axiom,
uri_xsd_float @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_type) ).
thf(616,plain,
uri_xsd_float @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ ( uri_xsd_nonPositiveInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger) ).
thf(599,plain,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ ( uri_xsd_nonPositiveInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(230,axiom,
uri_owl_oneOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_type) ).
thf(1307,plain,
uri_owl_oneOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(60,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ ( uri_xsd_unsignedInt @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedshort_unsignedint) ).
thf(681,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedShort @ icext ) )
=> ( A @ ( uri_xsd_unsignedInt @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(468,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_000) ).
thf(2538,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(271,axiom,
uri_xsd_NCName @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_ncname_type) ).
thf(1408,plain,
uri_xsd_NCName @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(245,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_ext) ).
thf(1349,plain,
! [A: $i] :
( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(389,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i,G: $i] :
~ ( ( G @ ( F @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_002) ).
thf(2097,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ! [F: $i,G: $i] :
~ ( ( G @ ( F @ ( E @ iext ) ) )
& ( G @ ( F @ ( C @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(164,axiom,
uri_owl_versionIRI @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioniri_type) ).
thf(990,plain,
uri_owl_versionIRI @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(371,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minexclusive_ext) ).
thf(1933,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minExclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(528,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_pattern @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_pattern_ext) ).
thf(2943,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_pattern @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(85,axiom,
uri_owl_onClass @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onclass_type) ).
thf(737,plain,
uri_owl_onClass @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(410,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
thf(2180,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(383,axiom,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_subject_domain) ).
thf(2025,plain,
uri_rdfs_Statement @ ( uri_rdf_subject @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(107,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_000) ).
thf(816,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(19,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_datetime) ).
thf(594,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(81,axiom,
uri_xsd_boolean @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_boolean_type) ).
thf(726,plain,
uri_xsd_boolean @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(454,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_langRange @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_ext) ).
thf(2446,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_langRange @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(120,axiom,
uri_owl_onDataRange @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatarange_type) ).
thf(848,plain,
uri_owl_onDataRange @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(450,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_trans) ).
thf(2410,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subPropertyOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(185,axiom,
! [A: $i] :
( ( A @ ( uri_owl_DataRange @ icext ) )
<=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datarange_ext) ).
thf(1149,plain,
! [A: $i] :
( ( ( A @ idc )
=> ( A @ ( uri_owl_DataRange @ icext ) ) )
& ( ( A @ ( uri_owl_DataRange @ icext ) )
=> ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(34,axiom,
uri_xsd_decimal @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
thf(626,plain,
uri_xsd_decimal @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(242,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedlong_ext) ).
thf(1344,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(161,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
thf(943,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
| ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(471,axiom,
! [A: $i] :
( ( A @ ix )
<=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ix_def) ).
thf(2553,plain,
! [A: $i] :
( ( ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ix ) )
& ( ( A @ ix )
=> ( uri_owl_Ontology @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(526,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_differentfrom_ext) ).
thf(2928,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_differentFrom @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(539,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_001) ).
thf(2974,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__1 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(330,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentproperty_ext) ).
thf(1688,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(37,axiom,
uri_xsd_unsignedInt @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedint_type) ).
thf(631,plain,
uri_xsd_unsignedInt @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(500,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
thf(2742,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
=> ( ( B @ ip )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(142,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AnnotationProperty @ icext ) )
<=> ( A @ ioap ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_ext) ).
thf(895,plain,
! [A: $i] :
( ( ( A @ ioap )
=> ( A @ ( uri_owl_AnnotationProperty @ icext ) ) )
& ( ( A @ ( uri_owl_AnnotationProperty @ icext ) )
=> ( A @ ioap ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(550,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_002) ).
thf(3006,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(97,axiom,
! [A: $i] :
( ( A @ ( uri_rdf_Property @ icext ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_property_ext) ).
thf(769,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( A @ ( uri_rdf_Property @ icext ) ) )
& ( ( A @ ( uri_rdf_Property @ icext ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(431,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
thf(2289,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( A @ ( B @ iext ) ) )
=> ( B @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(62,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_float) ).
thf(685,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(263,axiom,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_irreflexiveproperty_ext) ).
thf(1396,plain,
! [A: $i] :
( ( A @ ( uri_owl_IrreflexiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(534,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_distinctMembers @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_001) ).
thf(2962,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_distinctMembers @ iext ) ) )
& ( C @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(162,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_002) ).
thf(959,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(317,axiom,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_property_type) ).
thf(1643,plain,
uri_rdfs_Class @ ( uri_rdf_Property @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(137,axiom,
uri_owl_onDatatype @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_ondatatype_type) ).
thf(883,plain,
uri_owl_onDatatype @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(27,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_float) ).
thf(608,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(417,axiom,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_001) ).
thf(2207,plain,
uri_rdfs_Resource @ ( uri_rdf__1 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(153,axiom,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_ext) ).
thf(922,plain,
! [A: $i] :
( ( A @ ( uri_owl_TransitiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(96,axiom,
uri_xsd_dateTimeStamp @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetimestamp_type) ).
thf(768,plain,
uri_xsd_dateTimeStamp @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(108,axiom,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_symmetricproperty_ext) ).
thf(827,plain,
! [A: $i] :
( ( A @ ( uri_owl_SymmetricProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(40,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_hexbinary) ).
thf(636,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(470,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_dtype_001) ).
thf(2550,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(216,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ObjectProperty @ icext ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).
thf(1245,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( A @ ( uri_owl_ObjectProperty @ icext ) ) )
& ( ( A @ ( uri_owl_ObjectProperty @ icext ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(479,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_001) ).
thf(2620,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(130,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Axiom @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_ext) ).
thf(868,plain,
! [A: $i] :
( ( A @ ( uri_owl_Axiom @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(444,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
thf(2369,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdfs_subPropertyOf @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(169,axiom,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioxp_cond_set) ).
thf(1015,plain,
! [A: $i] :
( ( A @ ioxp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(337,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] : ( C @ ( A @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_000) ).
thf(1726,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] : ( C @ ( A @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(535,axiom,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).
thf(2967,plain,
uri_rdf_Property @ ( uri_rdfs_domain @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(448,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_mincard_003) ).
thf(2390,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ? [D: $i,E: $i,F: $i] :
( ( E != F )
& ( D != F )
& ( D != E )
& ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(122,axiom,
! [A: $i] :
( ( A @ ( uri_owl_OntologyProperty @ icext ) )
<=> ( A @ ioxp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontologyproperty_ext) ).
thf(851,plain,
! [A: $i] :
( ( ( A @ ioxp )
=> ( A @ ( uri_owl_OntologyProperty @ icext ) ) )
& ( ( A @ ( uri_owl_OntologyProperty @ icext ) )
=> ( A @ ioxp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(184,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_002) ).
thf(1102,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i,G: $i] :
( ( ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( G = F )
| ( G = E ) ) )
& ? [E: $i,F: $i] :
( ( E != F )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(516,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
<=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(2867,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentClass @ iext ) ) )
=> ( ! [C: $i] :
( ( ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(49,axiom,
uri_xsd_anyURI @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_anyuri_type) ).
thf(658,plain,
uri_xsd_anyURI @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(176,axiom,
uri_owl_intersectionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_intersectionof_type) ).
thf(1034,plain,
uri_owl_intersectionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ ( uri_xsd_unsignedLong @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedint_unsignedlong) ).
thf(675,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedInt @ icext ) )
=> ( A @ ( uri_xsd_unsignedLong @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(531,axiom,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_type_002) ).
thf(2952,plain,
uri_rdfs_ContainerMembershipProperty @ ( uri_rdf__2 @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(228,axiom,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_inst) ).
thf(1304,plain,
! [A: $i] :
( ( A @ idc )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ lv ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(393,axiom,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_comment_range) ).
thf(2107,plain,
uri_rdfs_Literal @ ( uri_rdfs_comment @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(201,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_owl_real @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_real_xmlliteral) ).
thf(1203,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_owl_real @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(487,axiom,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_domain) ).
thf(2665,plain,
uri_rdfs_Resource @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(59,axiom,
uri_rdf_PlainLiteral @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_type) ).
thf(680,plain,
uri_rdf_PlainLiteral @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(52,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_double) ).
thf(663,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(281,axiom,
uri_owl_backwardCompatibleWith @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_backwardcompatiblewith_type_onto) ).
thf(1420,plain,
uri_owl_backwardCompatibleWith @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(156,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_float @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_float_ext) ).
thf(927,plain,
! [A: $i] :
( ( A @ ( uri_xsd_float @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(104,axiom,
uri_rdf_langRange @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_langrange_type) ).
thf(812,plain,
uri_rdf_langRange @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(93,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Restriction @ icext ) )
=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
thf(749,plain,
! [A: $i] :
( ( A @ ( uri_owl_Restriction @ icext ) )
=> ( A @ ic ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(31,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_double_float) ).
thf(617,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_float @ icext ) )
& ( A @ ( uri_xsd_double @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(239,axiom,
uri_owl_AnnotationProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotationproperty_type) ).
thf(1340,plain,
uri_owl_AnnotationProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(191,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_ext) ).
thf(1181,plain,
! [A: $i] :
( ( A @ ( uri_xsd_integer @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(74,axiom,
uri_xsd_long @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_type) ).
thf(712,plain,
uri_xsd_long @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(42,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_datetime_double) ).
thf(640,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_double @ icext ) )
& ( A @ ( uri_xsd_dateTime @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(173,axiom,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_set) ).
thf(1025,plain,
! [A: $i] :
( ( A @ ip )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(70,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_hexbinary) ).
thf(705,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(210,axiom,
! [A: $i] :
( ( A @ ( uri_owl_NamedIndividual @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_namedindividual_ext) ).
thf(1225,plain,
! [A: $i] :
( ( A @ ( uri_owl_NamedIndividual @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(87,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_nonnegativeinteger_integer) ).
thf(739,plain,
! [A: $i] :
( ( A @ ( uri_xsd_nonNegativeInteger @ icext ) )
=> ( A @ ( uri_xsd_integer @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(256,axiom,
uri_xsd_maxLength @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxlength_type) ).
thf(1368,plain,
uri_xsd_maxLength @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(298,axiom,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_ext) ).
thf(1531,plain,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(166,axiom,
uri_owl_FunctionalProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_functionalproperty_type) ).
thf(993,plain,
uri_owl_FunctionalProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(99,axiom,
uri_owl_disjointUnionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointunionof_type) ).
thf(776,plain,
uri_owl_disjointUnionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(341,axiom,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_type_range) ).
thf(1748,plain,
uri_rdfs_Class @ ( uri_rdf_type @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(414,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_ext) ).
thf(2192,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minInclusive @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(140,axiom,
uri_owl_onProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_type) ).
thf(887,plain,
uri_owl_onProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(498,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_000) ).
thf(2732,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(374,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_withRestrictions @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_withrestrictions_ext) ).
thf(1941,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_withRestrictions @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(218,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Class @ icext ) )
<=> ( A @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).
thf(1252,plain,
! [A: $i] :
( ( ( A @ ic )
=> ( A @ ( uri_owl_Class @ icext ) ) )
& ( ( A @ ( uri_owl_Class @ icext ) )
=> ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(355,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
thf(1813,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyDisjointWith @ iext ) ) )
=> ( ! [C: $i,D: $i] :
~ ( ( D @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( A @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(195,axiom,
uri_owl_NegativePropertyAssertion @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_negativepropertyassertion_type) ).
thf(1188,plain,
uri_owl_NegativePropertyAssertion @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(180,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ( H = G )
| ( H = E )
| ( H = C ) ) )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_003) ).
thf(1038,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ( H = G )
| ( H = E )
| ( H = C ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H = G )
| ( H = E )
| ( H = C ) ) ) )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ( H = G )
| ( H = E )
| ( H = C ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ( H = G )
| ( H = E )
| ( H = C ) ) ) )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(115,axiom,
uri_xsd_maxInclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxinclusive_type) ).
thf(840,plain,
uri_xsd_maxInclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(221,axiom,
uri_owl_topDataProperty @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topdataproperty_type) ).
thf(1262,plain,
uri_owl_topDataProperty @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(420,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) )
<=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_ext) ).
thf(2219,plain,
! [A: $i,B: $i] :
( ( ( ( B @ ir )
& ( A @ ir ) )
=> ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_topObjectProperty @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(43,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_plainliteral) ).
thf(643,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(358,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_003) ).
thf(1830,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(344,axiom,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_002) ).
thf(1763,plain,
uri_rdfs_Resource @ ( uri_rdf__2 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(225,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_001) ).
thf(1285,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(208,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Ontology @ icext ) )
<=> ( A @ ix ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_ontology_ext) ).
thf(1218,plain,
! [A: $i] :
( ( ( A @ ix )
=> ( A @ ( uri_owl_Ontology @ icext ) ) )
& ( ( A @ ( uri_owl_Ontology @ icext ) )
=> ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(268,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_hexBinary @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_hexbinary_ext) ).
thf(1404,plain,
! [A: $i] :
( ( A @ ( uri_xsd_hexBinary @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(90,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_ext) ).
thf(744,plain,
! [A: $i] :
( ( A @ ( uri_xsd_string @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(364,axiom,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_range) ).
thf(1898,plain,
uri_rdfs_Class @ ( uri_rdfs_domain @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(445,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_000) ).
thf(2379,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_members @ iext ) ) )
& ( A @ ( uri_owl_AllDisjointProperties @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(437,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_003) ).
thf(2320,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onClass @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) ) )
=> ! [D: $i] :
( ( ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ? [E: $i,F: $i,G: $i] :
( ( F != G )
& ( E != G )
& ( E != F )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(127,axiom,
uri_rdfs_label @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_label_type) ).
thf(864,plain,
uri_rdfs_label @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(342,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_distinctMembers @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_002) ).
thf(1749,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B != D )
& ( uri_rdf_nil @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [E: $i] :
( ( A @ ( E @ ( uri_owl_distinctMembers @ iext ) ) )
& ( E @ ( uri_owl_AllDifferent @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(82,axiom,
! [A: $i] :
( ( A @ ( uri_rdfs_Resource @ icext ) )
<=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_resource_ext) ).
thf(727,plain,
! [A: $i] :
( ( ( A @ ir )
=> ( A @ ( uri_rdfs_Resource @ icext ) ) )
& ( ( A @ ( uri_rdfs_Resource @ icext ) )
=> ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(10,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_float_real) ).
thf(571,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_float @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(124,axiom,
uri_xsd_minInclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_mininclusive_type) ).
thf(859,plain,
uri_xsd_minInclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(514,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
<=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_reflexive) ).
thf(2838,plain,
! [A: $i] :
( ( ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_ReflexiveProperty @ icext ) ) )
& ( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( ! [B: $i] : ( B @ ( B @ ( A @ iext ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(396,axiom,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_collection_nil_type) ).
thf(2113,plain,
uri_rdf_List @ ( uri_rdf_nil @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ ( uri_xsd_int @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_short_int) ).
thf(656,plain,
! [A: $i] :
( ( A @ ( uri_xsd_short @ icext ) )
=> ( A @ ( uri_xsd_int @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(171,axiom,
uri_owl_unionOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_type) ).
thf(1023,plain,
uri_owl_unionOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(224,axiom,
uri_xsd_nonNegativeInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonnegativeinteger_type) ).
thf(1284,plain,
uri_xsd_nonNegativeInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(540,axiom,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_range) ).
thf(2975,plain,
uri_rdfs_Class @ ( uri_rdfs_subClassOf @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(248,axiom,
! [A: $i] :
( ( A @ lv )
<=> ( A @ ( uri_rdfs_Literal @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_lv_def) ).
thf(1353,plain,
! [A: $i] :
( ( ( A @ ( uri_rdfs_Literal @ icext ) )
=> ( A @ lv ) )
& ( ( A @ lv )
=> ( A @ ( uri_rdfs_Literal @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(377,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
<=> ( ! [H: $i] :
( ( H @ ( A @ icext ) )
<=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_003) ).
thf(1955,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [H: $i] :
( ( ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_disjointUnionOf @ iext ) ) )
=> ( ! [H: $i] :
( ( ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) )
=> ( H @ ( A @ icext ) ) )
& ( ( H @ ( A @ icext ) )
=> ( ~ ( ( H @ ( G @ icext ) )
& ( H @ ( E @ icext ) ) )
& ~ ( ( H @ ( G @ icext ) )
& ( H @ ( C @ icext ) ) )
& ~ ( ( H @ ( E @ icext ) )
& ( H @ ( C @ icext ) ) )
& ( ( H @ ( G @ icext ) )
| ( H @ ( E @ icext ) )
| ( H @ ( C @ icext ) ) ) ) ) )
& ( G @ ic )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(551,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_001) ).
thf(3007,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( C @ idc )
& ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(132,axiom,
uri_owl_datatypeComplementOf @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_type) ).
thf(876,plain,
uri_owl_datatypeComplementOf @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(165,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_ext) ).
thf(991,plain,
! [A: $i] :
( ( A @ ( uri_xsd_negativeInteger @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(304,axiom,
uri_owl_AsymmetricProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_type) ).
thf(1617,plain,
uri_owl_AsymmetricProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(373,axiom,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_seq_sub) ).
thf(1940,plain,
uri_rdfs_Container @ ( uri_rdfs_Seq @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(289,axiom,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_ext) ).
thf(1459,plain,
! [A: $i] :
( ( A @ ( uri_owl_ReflexiveProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ ( uri_xsd_long @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_int_long) ).
thf(556,plain,
! [A: $i] :
( ( A @ ( uri_xsd_int @ icext ) )
=> ( A @ ( uri_xsd_long @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(519,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_minlength_ext) ).
thf(2885,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_minLength @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(511,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_domain_003) ).
thf(2828,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(533,axiom,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_class_instsub_resource) ).
thf(2960,plain,
! [A: $i] :
( ( A @ ic )
=> ( uri_rdfs_Resource @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(14,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_plainliteral) ).
thf(581,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_PlainLiteral @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(419,axiom,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldifferent_distinctmembers_fi_000) ).
thf(2215,plain,
? [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_distinctMembers @ iext ) ) )
& ( A @ ( uri_owl_AllDifferent @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(206,axiom,
uri_xsd_positiveInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_positiveinteger_type) ).
thf(1216,plain,
uri_xsd_positiveInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(485,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_range) ).
thf(2658,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(118,axiom,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_lv_cond_set) ).
thf(845,plain,
! [A: $i] :
( ( A @ lv )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(504,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
<=> ( ! [C: $i,D: $i] :
( ( D @ ( C @ ( A @ iext ) ) )
<=> ( D @ ( C @ ( B @ iext ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
thf(2760,plain,
! [A: $i,B: $i] :
( ( ( ! [C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_equivalentProperty @ iext ) ) )
=> ( ! [C: $i,D: $i] :
( ( ( D @ ( C @ ( B @ iext ) ) )
=> ( D @ ( C @ ( A @ iext ) ) ) )
& ( ( D @ ( C @ ( A @ iext ) ) )
=> ( D @ ( C @ ( B @ iext ) ) ) ) )
& ( B @ ip )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(282,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_asymmetricproperty_ext) ).
thf(1421,plain,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(525,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
thf(2924,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasValue @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(458,axiom,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_isdefinedby_sub) ).
thf(2458,plain,
uri_rdfs_seeAlso @ ( uri_rdfs_isDefinedBy @ ( uri_rdfs_subPropertyOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(35,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_boolean) ).
thf(627,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(238,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_001) ).
thf(1316,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( ! [E: $i,F: $i] :
( ( ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( F = E ) )
& ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(320,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_dtype_002) ).
thf(1649,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( E @ idc )
& ( C @ idc )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(509,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
thf(2818,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(190,axiom,
uri_owl_ObjectProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_objectproperty_type) ).
thf(1180,plain,
uri_owl_ObjectProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(434,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).
thf(2310,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( C @ ( A @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_range @ iext ) ) ) )
=> ( D @ ( B @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(63,axiom,
uri_xsd_string @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
thf(688,plain,
uri_xsd_string @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(440,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_incompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_ext) ).
thf(2347,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_incompatibleWith @ iext ) ) )
=> ( ( B @ ix )
& ( A @ ix ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(323,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_000) ).
thf(1654,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(275,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_normalizedstring_ext) ).
thf(1412,plain,
! [A: $i] :
( ( A @ ( uri_xsd_normalizedString @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(465,axiom,
! [A: $i] :
( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
<=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_asymmetric) ).
thf(2490,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_AsymmetricProperty @ icext ) ) )
& ( ( A @ ( uri_owl_AsymmetricProperty @ icext ) )
=> ( ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ~ ( B @ ( C @ ( A @ iext ) ) ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(196,axiom,
uri_owl_AllDisjointClasses @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldisjointclasses_type) ).
thf(1189,plain,
uri_owl_AllDisjointClasses @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(421,axiom,
! [A: $i] :
( ( A @ ioap )
<=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_def) ).
thf(2226,plain,
! [A: $i] :
( ( ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ioap ) )
& ( ( A @ ioap )
=> ( uri_owl_AnnotationProperty @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(482,axiom,
! [A: $i] :
( ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) )
<=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_000) ).
thf(2643,plain,
! [A: $i] :
( ( ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) )
=> ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) ) )
& ( ( uri_rdf_nil @ ( A @ ( uri_owl_oneOf @ iext ) ) )
=> ( ! [B: $i] :
~ ( B @ ( A @ icext ) )
& ( A @ ic ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(105,axiom,
uri_owl_AllDifferent @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_alldifferent_type) ).
thf(813,plain,
uri_owl_AllDifferent @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(46,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_hexbinary) ).
thf(652,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_hexBinary @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(313,axiom,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ lv )
& ( A @ iodp )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetValue @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_data_fi) ).
thf(1629,plain,
! [A: $i,B: $i,C: $i] :
( ( ~ ( C @ ( B @ ( A @ iext ) ) )
& ( C @ lv )
& ( A @ iodp )
& ( B @ ir ) )
=> ? [D: $i] :
( ( C @ ( D @ ( uri_owl_targetValue @ iext ) ) )
& ( A @ ( D @ ( uri_owl_assertionProperty @ iext ) ) )
& ( B @ ( D @ ( uri_owl_sourceIndividual @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(384,axiom,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_value_type) ).
thf(2026,plain,
uri_rdf_Property @ ( uri_rdf_type @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(38,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_anyuri_datetime) ).
thf(632,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_anyURI @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(68,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_datetime) ).
thf(699,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_dateTime @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(494,axiom,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_n_range_003) ).
thf(2707,plain,
uri_rdfs_Resource @ ( uri_rdf__3 @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(240,axiom,
uri_owl_priorVersion @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_priorversion_type_onto) ).
thf(1341,plain,
uri_owl_priorVersion @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(92,axiom,
uri_owl_topObjectProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_topobjectproperty_type) ).
thf(748,plain,
uri_owl_topObjectProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(379,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
thf(2009,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
=> ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(387,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
thf(2081,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_someValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(9,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_real) ).
thf(568,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(54,axiom,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_boolean) ).
thf(667,plain,
! [A: $i] :
~ ( ( A @ ( uri_xsd_boolean @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(157,axiom,
uri_owl_versionInfo @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_versioninfo_type) ).
thf(929,plain,
uri_owl_versionInfo @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(231,axiom,
uri_owl_TransitiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_transitiveproperty_type) ).
thf(1308,plain,
uri_owl_TransitiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(406,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedTarget @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedtarget_ext) ).
thf(2162,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_annotatedTarget @ iext ) ) )
=> ( ( B @ ir )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(491,axiom,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_datatype_sub) ).
thf(2680,plain,
uri_rdfs_Class @ ( uri_rdfs_Datatype @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(111,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_long_ext) ).
thf(832,plain,
! [A: $i] :
( ( A @ ( uri_xsd_long @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(362,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_length @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_ext) ).
thf(1893,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_xsd_length @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(232,axiom,
uri_xsd_byte @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_byte_type) ).
thf(1309,plain,
uri_xsd_byte @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(499,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( G @ lv )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_dtype_003) ).
thf(2739,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( B @ ( A @ ( uri_owl_oneOf @ iext ) ) )
& ( G @ lv )
& ( E @ lv )
& ( C @ lv )
& ( uri_rdf_nil @ ( F @ ( uri_rdf_rest @ iext ) ) )
& ( G @ ( F @ ( uri_rdf_first @ iext ) ) )
& ( F @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( A @ idc ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(286,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactqcr_data_000) ).
thf(1444,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_0 @ literal_typed ) @ ( A @ ( uri_owl_qualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ~ ? [E: $i] :
( ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(76,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ ( uri_xsd_normalizedString @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_token_normalizedstring) ).
thf(716,plain,
! [A: $i] :
( ( A @ ( uri_xsd_token @ icext ) )
=> ( A @ ( uri_xsd_normalizedString @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(187,axiom,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_iodp_cond_set) ).
thf(1161,plain,
! [A: $i] :
( ( A @ iodp )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(303,axiom,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_boolean_xmlliteral) ).
thf(1614,plain,
! [A: $i] :
~ ( ( A @ ( uri_rdf_XMLLiteral @ icext ) )
& ( A @ ( uri_xsd_boolean @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(367,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_001) ).
thf(1908,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(244,axiom,
uri_owl_propertyChainAxiom @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_propertychainaxiom_type) ).
thf(1348,plain,
uri_owl_propertyChainAxiom @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(32,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_base64binary_real) ).
thf(620,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_base64Binary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(212,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
<=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ( D @ ( C @ icext ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_001) ).
thf(1229,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_unionOf @ iext ) ) )
=> ( ! [D: $i] :
( ( ( D @ ( C @ icext ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ( D @ ( C @ icext ) ) ) )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(262,axiom,
uri_owl_ReflexiveProperty @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_reflexiveproperty_type) ).
thf(1395,plain,
uri_owl_ReflexiveProperty @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(530,axiom,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_reification_object_range) ).
thf(2951,plain,
uri_rdfs_Resource @ ( uri_rdf_predicate @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(326,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_datatypecomplementof_ext) ).
thf(1673,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_datatypeComplementOf @ iext ) ) )
=> ( ( B @ idc )
& ( A @ idc ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(129,axiom,
uri_xsd_maxExclusive @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_maxexclusive_type) ).
thf(867,plain,
uri_xsd_maxExclusive @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(128,axiom,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ioap_cond_set) ).
thf(865,plain,
! [A: $i] :
( ( A @ ioap )
=> ( A @ ip ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(84,axiom,
! [A: $i] :
( ( A @ ( uri_owl_Annotation @ icext ) )
=> ( A @ ir ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_annotation_ext) ).
thf(735,plain,
! [A: $i] :
( ( A @ ( uri_owl_Annotation @ icext ) )
=> ( A @ ir ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(316,axiom,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_reification_predicate_type) ).
thf(1642,plain,
uri_rdf_Property @ ( uri_rdf_value @ ( uri_rdf_type @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(391,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_ext) ).
thf(2102,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ( B @ ( uri_rdf_List @ icext ) )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(95,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
<=> ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_key_002) ).
thf(752,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_hasKey @ iext ) ) )
=> ( ! [F: $i,G: $i,H: $i,I: $i] :
( ( ( I @ ( G @ ( E @ iext ) ) )
& ( I @ ( F @ ( E @ iext ) ) )
& ( H @ ( G @ ( C @ iext ) ) )
& ( H @ ( F @ ( C @ iext ) ) )
& ( G @ ( A @ icext ) )
& ( F @ ( A @ icext ) ) )
=> ( F = G ) )
& ( E @ ip )
& ( C @ ip )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(467,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_minqualifiedcardinality_ext) ).
thf(2534,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_minQualifiedCardinality @ iext ) ) )
=> ( ( B @ ( uri_xml_nonNegativeInteger @ icext ) )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(428,axiom,
! [A: $i] :
( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
<=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
thf(2255,plain,
! [A: $i] :
( ( ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) )
=> ( A @ ( uri_owl_FunctionalProperty @ icext ) ) )
& ( ( A @ ( uri_owl_FunctionalProperty @ icext ) )
=> ( ! [B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ iext ) ) )
& ( C @ ( B @ ( A @ iext ) ) ) )
=> ( C = D ) )
& ( A @ ip ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_language_token) ).
thf(564,plain,
! [A: $i] :
( ( A @ ( uri_xsd_language @ icext ) )
=> ( A @ ( uri_xsd_token @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(506,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
thf(2800,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ ( uri_rdfs_subClassOf @ iext ) ) )
& ( B @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) )
=> ( C @ ( A @ ( uri_rdfs_subClassOf @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(150,axiom,
uri_owl_hasKey @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_haskey_type) ).
thf(918,plain,
uri_owl_hasKey @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(501,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
<=> ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_001) ).
thf(2746,plain,
! [A: $i,B: $i,C: $i] :
( ( ( uri_rdf_nil @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) )
=> ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_propertyChainAxiom @ iext ) ) )
=> ( ! [D: $i,E: $i] :
( ( E @ ( D @ ( C @ iext ) ) )
=> ( E @ ( D @ ( A @ iext ) ) ) )
& ( C @ ip )
& ( A @ ip ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(273,axiom,
uri_owl_annotatedProperty @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_annotatedproperty_type) ).
thf(1410,plain,
uri_owl_annotatedProperty @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(350,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
thf(1789,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_allValuesFrom @ iext ) ) )
=> ( ( B @ ic )
& ( A @ ( uri_owl_Restriction @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(39,axiom,
uri_xsd_integer @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
thf(635,plain,
uri_xsd_integer @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(139,axiom,
uri_owl_imports @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_imports_type) ).
thf(886,plain,
uri_owl_imports @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(253,axiom,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(1363,plain,
! [A: $i] :
~ ( A @ ( uri_owl_Nothing @ icext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(236,axiom,
uri_rdfs_comment @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_type) ).
thf(1314,plain,
uri_rdfs_comment @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(382,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_comment @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_comment_ext) ).
thf(2021,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdfs_comment @ iext ) ) )
=> ( ( B @ lv )
& ( A @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(243,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_unsignedbyte_ext) ).
thf(1346,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedByte @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(114,axiom,
uri_xsd_length @ iodp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_facet_length_type) ).
thf(839,plain,
uri_xsd_length @ iodp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(247,axiom,
uri_owl_Axiom @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_axiom_type) ).
thf(1352,plain,
uri_owl_Axiom @ ic,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(220,axiom,
uri_owl_sameAs @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sameas_type) ).
thf(1261,plain,
uri_owl_sameAs @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(125,axiom,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
thf(860,plain,
! [A: $i] :
( ( A @ ic )
=> ! [B: $i] :
( ( B @ ( A @ icext ) )
=> ( B @ ir ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(145,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_unsignedlong_nonnegativeinteger) ).
thf(908,plain,
! [A: $i] :
( ( A @ ( uri_xsd_unsignedLong @ icext ) )
=> ( A @ ( uri_xsd_nonNegativeInteger @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(26,axiom,
uri_xsd_token @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_token_type) ).
thf(607,plain,
uri_xsd_token @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(369,axiom,
! [A: $i] :
( ( A @ ip )
<=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_def) ).
thf(1923,plain,
! [A: $i] :
( ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) )
& ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(79,axiom,
uri_xsd_Name @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_name_type) ).
thf(723,plain,
uri_xsd_Name @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(366,axiom,
! [A: $i] :
( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ip ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).
thf(1902,plain,
! [A: $i] :
( ( ( A @ ip )
=> ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( uri_rdf_Property @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ip ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(65,axiom,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_hexbinary_real) ).
thf(691,plain,
! [A: $i] :
~ ( ( A @ ( uri_owl_real @ icext ) )
& ( A @ ( uri_xsd_hexBinary @ icext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(265,axiom,
! [A: $i] :
( ( A @ ( uri_xsd_dateTime @ icext ) )
=> ( A @ lv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_ext) ).
thf(1399,plain,
! [A: $i] :
( ( A @ ( uri_xsd_dateTime @ icext ) )
=> ( A @ lv ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(307,axiom,
uri_owl_incompatibleWith @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_annot) ).
thf(1621,plain,
uri_owl_incompatibleWith @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(490,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(2672,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( ~ ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(375,axiom,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_001) ).
thf(1945,plain,
! [A: $i,B: $i] :
( ( ( uri_rdf_nil @ ( A @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( A @ ( uri_rdf_first @ iext ) ) ) )
=> ? [C: $i] :
( ( A @ ( C @ ( uri_owl_members @ iext ) ) )
& ( C @ ( uri_owl_AllDisjointClasses @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(328,axiom,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_annotation_seealso_domain) ).
thf(1681,plain,
uri_rdfs_Resource @ ( uri_rdfs_seeAlso @ ( uri_rdfs_domain @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(41,axiom,
uri_xsd_dateTime @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_datetime_type) ).
thf(639,plain,
uri_xsd_dateTime @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(347,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_exactcard_001) ).
thf(1769,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_1 @ literal_typed ) @ ( A @ ( uri_owl_cardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ( ! [D: $i,E: $i] :
( ( ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( E = D ) )
& ? [D: $i] : ( D @ ( C @ ( B @ iext ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(392,axiom,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_container_bag_sub) ).
thf(2106,plain,
uri_rdfs_Container @ ( uri_rdf_Bag @ ( uri_rdfs_subClassOf @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(71,axiom,
uri_xsd_double @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_double_type) ).
thf(708,plain,
uri_xsd_double @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(136,axiom,
uri_xsd_negativeInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_negativeinteger_type) ).
thf(882,plain,
uri_xsd_negativeInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(278,axiom,
uri_owl_maxQualifiedCardinality @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_maxqualifiedcardinality_type) ).
thf(1417,plain,
uri_owl_maxQualifiedCardinality @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(322,axiom,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_range) ).
thf(1653,plain,
uri_rdfs_Class @ ( uri_rdfs_range @ ( uri_rdfs_range @ iext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(255,axiom,
uri_owl_members @ ip,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_members_type) ).
thf(1367,plain,
uri_owl_members @ ip,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(493,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxcard_002) ).
thf(2690,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_2 @ literal_typed ) @ ( A @ ( uri_owl_maxCardinality @ iext ) ) ) )
=> ! [C: $i] :
( ( ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ! [D: $i,E: $i,F: $i] :
( ( ( F @ ( C @ ( B @ iext ) ) )
& ( E @ ( C @ ( B @ iext ) ) )
& ( D @ ( C @ ( B @ iext ) ) ) )
=> ( ( F = E )
| ( F = D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(50,axiom,
uri_xsd_nonPositiveInteger @ idc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_nonpositiveinteger_type) ).
thf(659,plain,
uri_xsd_nonPositiveInteger @ idc,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(295,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( D @ ( A @ icext ) )
<=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) )
& ( B @ iodp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_data_003) ).
thf(1490,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( A @ ( uri_owl_onDataRange @ iext ) ) )
& ( B @ ( A @ ( uri_owl_onProperty @ iext ) ) )
& ( uri_xsd_nonNegativeInteger @ ( dat_str_3 @ literal_typed ) @ ( A @ ( uri_owl_maxQualifiedCardinality @ iext ) ) ) )
=> ( ! [D: $i] :
( ( ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) )
=> ( D @ ( A @ icext ) ) )
& ( ( D @ ( A @ icext ) )
=> ! [E: $i,F: $i,G: $i,H: $i] :
( ( ( H @ ( C @ icext ) )
& ( H @ ( D @ ( B @ iext ) ) )
& ( H @ lv )
& ( G @ ( C @ icext ) )
& ( G @ ( D @ ( B @ iext ) ) )
& ( G @ lv )
& ( F @ ( C @ icext ) )
& ( F @ ( D @ ( B @ iext ) ) )
& ( F @ lv )
& ( E @ ( C @ icext ) )
& ( E @ ( D @ ( B @ iext ) ) )
& ( E @ lv ) )
=> ( ( H = G )
| ( H = F )
| ( H = E ) ) ) ) )
& ( B @ iodp ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(179,axiom,
uri_rdfs_isDefinedBy @ ioap,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_isdefinedby_type) ).
thf(1037,plain,
uri_rdfs_isDefinedBy @ ioap,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(98,axiom,
uri_owl_incompatibleWith @ ioxp,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_incompatiblewith_type_onto) ).
thf(775,plain,
uri_owl_incompatibleWith @ ioxp,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(408,axiom,
! [A: $i] :
( ( A @ idc )
<=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_def) ).
thf(2170,plain,
! [A: $i] :
( ( ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ idc ) )
& ( ( A @ idc )
=> ( uri_rdfs_Datatype @ ( A @ ( uri_rdf_type @ iext ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(441,axiom,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_cond_inst) ).
thf(2351,plain,
! [A: $i] :
( ( A @ ip )
=> ! [B: $i,C: $i] :
( ( C @ ( B @ ( A @ iext ) ) )
=> ( ( C @ ir )
& ( B @ ir ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(3042,plain,
$false,
inference(e,[status(thm)],[809,1411,1024,2109,1729,2412,1899,2559,941,777,666,1950,2250,1036,2822,1369,2889,1823,1190,1315,2499,2077,1211,2976,1406,683,2908,1618,994,2947,741,2014,2114,655,597,1486,1443,2776,2659,2953,1401,1793,1533,614,1692,677,1078,2607,2141,814,2459,1063,930,670,1756,1310,1164,2316,1342,913,829,2972,709,841,1645,1359,1601,1366,1529,2405,1623,1887,1243,1782,2136,1703,1709,2667,2708,1860,587,1313,2126,1462,2654,1628,1409,724,1660,1298,702,751,2185,1455,934,1191,902,559,1800,1379,870,606,3014,1362,1100,2829,1398,881,1415,924,1465,1664,2027,789,591,2893,2650,646,1864,1677,1373,2996,1418,2451,2236,623,1682,834,574,2254,1183,1283,602,2281,877,2483,1622,1394,2137,1351,660,1201,2884,1242,849,1206,920,2473,1306,2118,1708,2232,1768,1163,2000,1636,910,746,2601,778,862,1217,630,2606,1824,2986,2015,1423,916,1920,879,1457,1624,1210,1027,1407,1634,1740,847,566,2200,2609,830,1402,1360,697,2157,2100,1804,2724,2638,2268,857,2300,578,1534,1017,2359,2973,2709,1227,3001,989,2460,884,1028,1361,3000,554,2830,1461,1937,2108,2666,1644,1419,901,2419,1424,2312,3010,1414,2196,2240,590,2085,1155,1744,837,2968,738,1530,911,721,2566,1715,3005,2756,1627,1263,997,2450,2932,2125,1297,2681,2487,2845,2900,2387,2355,1192,2208,2883,1035,558,1187,1185,2338,926,1241,2546,2189,2995,718,888,2176,2292,2904,2602,689,733,601,1251,1764,584,562,694,843,2188,743,1488,1620,2489,1652,1929,577,711,1535,2806,2991,2161,1786,1707,1371,1312,611,713,2753,2166,1258,1224,672,2457,1897,919,604,2346,1209,2642,2383,2987,2422,1806,2246,649,2802,616,599,1307,681,2538,1408,1349,2097,990,1933,2943,737,2180,2025,816,594,726,2446,848,2410,1149,626,1344,943,2553,2928,2974,1688,631,2742,895,3006,769,2289,685,1396,2962,959,1643,883,608,2207,922,768,827,636,2550,1245,2620,868,2369,1015,1726,2967,2390,851,1102,2867,658,1034,675,2952,1304,2107,1203,2665,680,663,1420,927,812,749,617,1340,1181,712,640,1025,705,1225,739,1368,1531,993,776,1748,2192,887,2732,1941,1252,1813,1188,1038,840,1262,2219,643,1830,1763,1285,1218,1404,744,1898,2379,2320,864,1749,727,571,859,2838,2113,656,1023,1284,2975,1353,1955,3007,876,991,1617,1940,1459,556,2885,2828,2960,581,2215,1216,2658,845,2760,1421,2924,2458,627,1316,1649,2818,1180,2310,688,2347,1654,1412,2490,1189,2226,2643,813,652,1629,2026,632,699,2707,1341,748,2009,2081,568,667,929,1308,2162,2680,832,1893,1309,2739,1444,716,1161,1614,1908,1348,620,1229,1395,2951,1673,867,865,735,1642,2102,752,2534,2255,564,2800,918,2746,1410,1789,635,886,1363,1314,2021,1346,839,1352,1261,860,908,607,1923,723,1902,691,1399,1621,2672,1945,1681,639,1769,2106,708,882,1417,1653,1367,2690,659,1490,1037,775,2170,2351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB003+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.26/0.50 % Computer : n002.cluster.edu
% 0.26/0.50 % Model : x86_64 x86_64
% 0.26/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.50 % Memory : 8046.5625MB
% 0.26/0.50 % OS : Linux 6.8.0-71-generic
% 0.26/0.50 % CPULimit : 300
% 0.26/0.50 % WCLimit : 300
% 0.26/0.50 % DateTime : Sat Sep 26 11:41:21 UTC 2026
% 0.28/0.50 % CPUTime :
% 0.28/0.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.37/1.34 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.73/1.87 % [INFO] Parsing done (533ms).
% 2.73/1.89 % [INFO] Running in sequential loop mode.
% 4.37/2.47 % [INFO] eprover registered as external prover.
% 4.37/2.48 % [INFO] Scanning for conjecture ...
% 5.07/2.70 % [INFO] Found a conjecture (or negated_conjecture) and 559 axioms. Running axiom selection ...
% 6.36/3.09 % [INFO] Axiom selection finished. Selected 551 axioms (removed 8 axioms).
% 8.08/3.64 % [INFO] Problem is first-order (TPTP FOF).
% 8.08/3.69 % [INFO] Type checking passed.
% 8.50/3.70 % [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 ...
% 35.27/11.27 % External prover 'e' found a proof!
% 35.27/11.27 % [INFO] Killing All external provers ...
% 35.27/11.27 % Time passed: 10561ms (effective reasoning time: 9369ms)
% 35.27/11.27 % 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)>
% 35.27/11.28 % 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_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, testcase_premise_fullish_003_Blank_Nodes_for_Literals, owl_dat_dtype_ncname_ext, 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_prop_comment_type, owl_dat_facet_mininclusive_ext, rdfs_collection_first_range, owl_dat_dtype_relation_disjoint_datetime_float, owl_dat_dtype_unsignedbyte_ext, owl_dat_dtype_relation_disjoint_anyuri_plainliteral, owl_prop_seealso_type, owl_char_asymmetric, owl_dat_dtype_byte_type, owl_dat_dtype_relation_disjoint_anyuri_real, owl_prop_haskey_ext, owl_class_negativepropertyassertion_type, owl_prop_assertionproperty_ext, owl_parts_iodp_cond_set, owl_dat_dtype_integer_ext, rdfs_datatype_sub, owl_dat_dtype_relation_subtype_unsignedshort_unsignedint, rdfs_reification_predicate_range, owl_dat_dtype_relation_disjoint_datetime_hexbinary, owl_class_ontologyproperty_ext, owl_class_property_ext, owl_prop_sourceindividual_type, owl_enum_dtype_002, owl_restrict_exactcard_003, owl_dat_dtype_relation_disjoint_float_hexbinary, owl_eqdis_equivalentproperty, owl_char_functional, owl_bool_intersectionof_dtype_001, rdfs_dat_xmlliteral_type, owl_prop_differentfrom_type, owl_dat_dtype_float_ext, owl_class_ontology_type, owl_prop_annotatedtarget_ext, owl_prop_ondatarange_ext, owl_dat_dtype_positiveinteger_ext, owl_class_thing_ext, owl_parts_ioap_def, owl_parts_ix_def, owl_ndis_alldifferent_distinctmembers_fi_002, owl_ndis_alldisjointclasses_if_003, owl_restrict_maxcard_000, owl_dat_dtype_hexbinary_ext, owl_prop_hasvalue_ext, rdfs_annotation_seealso_domain, owl_dat_dtype_real_type, owl_ndis_alldisjointproperties_if_003, rdfs_subpropertyof_range, owl_dat_dtype_relation_subtype_positiveinteger_nonnegativeinteger, owl_dat_dtype_relation_subtype_unsignedbyte_unsignedshort, owl_ndis_alldisjointclasses_fi_003, owl_prop_members_ext, owl_rdfsext_subclassof, owl_prop_distinctmembers_ext, owl_npa_data_if, owl_dat_dtype_relation_disjoint_float_plainliteral, owl_restrict_maxqcr_object_001, owl_dat_dtype_nonpositiveinteger_ext, owl_class_annotationproperty_ext, owl_class_datarange_ext, owl_eqdis_propertydisjointwith, owl_prop_comment_ext, owl_dat_dtype_short_type, owl_prop_annotatedtarget_type, rdfs_lv_def, owl_bool_intersectionof_class_001, owl_restrict_exactqcr_data_001, rdfs_class_instsub_resource, owl_class_negativepropertyassertion_ext, owl_ndis_alldisjointproperties_fi_002, owl_prop_maxqualifiedcardinality_ext, owl_dat_dtype_relation_disjoint_datetime_double, owl_key_003, owl_dat_dtype_rational_ext, rdfs_reification_object_range, owl_enum_class_001, owl_dat_dtype_relation_disjoint_anyuri_float, owl_dat_dtype_relation_disjoint_double_float, rdfs_cext_def, owl_prop_ondatatype_type, owl_class_deprecatedproperty_ext, owl_dat_dtype_decimal_ext, rdfs_subpropertyof_reflex, owl_dat_dtype_relation_disjoint_base64binary_float, owl_class_deprecatedclass_ext, owl_dat_dtype_relation_disjoint_base64binary_datetime, owl_dat_dtype_relation_subtype_decimal_rational, owl_chain_003, rdfs_value_range, owl_prop_annotatedsource_type, owl_restrict_minqcr_object_001, owl_class_asymmetricproperty_ext, owl_prop_versioniri_type, owl_dat_dtype_base64binary_type, owl_dat_dtype_relation_disjoint_double_plainliteral, owl_prop_deprecated_ext, owl_dat_dtype_rational_type, owl_bool_unionof_class_002, simple_iext_property, owl_restrict_maxqcr_object_003, rdf_container_n_type_002, owl_prop_minqualifiedcardinality_type, owl_prop_ondatarange_type, owl_restrict_exactcard_000, owl_dat_dtype_hexbinary_type, rdfs_subclassof_main, owl_class_alldisjointclasses_type, owl_prop_topdataproperty_type, owl_class_axiom_ext, owl_prop_incompatiblewith_type_onto, owl_dat_facet_langrange_ext, owl_bool_unionof_dtype_003, owl_prop_versioniri_ext, owl_enum_class_003, owl_dat_dtype_relation_subtype_negativeinteger_nonpositiveinteger, owl_prop_annotatedsource_ext, owl_prop_propertychainaxiom_type, owl_dat_dtype_xmlliteral_ext, owl_class_alldisjointclasses_ext, owl_class_transitiveproperty_type, owl_dat_dtype_short_ext, owl_class_asymmetricproperty_type, owl_restrict_mincard_002, owl_eqdis_disjointunionof_003, owl_prop_datatypecomplementof_ext, owl_prop_label_type, owl_eqdis_equivalentclass, owl_dat_dtype_relation_disjoint_anyuri_base64binary, owl_dat_dtype_relation_disjoint_anyuri_xmlliteral, owl_ndis_alldisjointclasses_fi_002, owl_ndis_alldifferent_members_fi_002, owl_dat_facet_length_type, owl_prop_deprecated_type, owl_parts_iodp_cond_inst, owl_prop_equivalentproperty_type, rdf_type_type, owl_prop_isdefinedby_type, owl_dat_dtype_language_type, owl_prop_onclass_type, owl_prop_hasself_type, rdfs_container_n_domain_003, owl_dat_dtype_relation_disjoint_anyuri_double, owl_dat_facet_maxinclusive_ext, owl_class_property_type, owl_prop_allvaluesfrom_ext, rdfs_domain_range, owl_prop_inverseof_type, rdf_reification_object_type, owl_dat_dtype_unsignedlong_ext, owl_prop_priorversion_type_annot, owl_ndis_alldifferent_members_if_003, owl_restrict_allvaluesfrom, owl_restrict_minqcr_data_002, owl_prop_disjointunionof_ext, owl_class_datatype_ext
% 35.27/11.29 % No. of inferences in proof: 1106
% 35.27/11.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 10561 ms resp. 9369 ms w/o parsing
% 37.46/11.81 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 37.46/11.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------