Semi-formal (Aristotelian)Semi-formal (Aristotélico)
Every umbilical is an assembly that has component parts including cable bundles and tubing bundles, and has the qualities of flexibility and easy disconnectability.
First-Order Logic TheoryTeoria em Lógica de Primeira Ordem
[Necessary condition]∀x (Umbilical(x) → Assembly(x) ∧ ∃f (MultiServiceTransmissionFunction(f) ∧ bearerOf(x,f))) — Steps 1–3: genus + identity-giving function
[Function axiom: MultiServiceTransmissionFunction]∀f (MultiServiceTransmissionFunction(f) → ∀p (realizedIn(f,p) → MultiServiceTransmissionProcess(p)) ∧ ∃p (MultiServiceTransmissionProcess(p) ∧ realizedIn(f,p))) — Step 1: ∀ preserves type-type identity; ∃ rules out vacuous functions never realised
[Structural differentia (necessary only)]∀x (Umbilical(x) → ∃hasPart.CableBundle ⊓ ∃hasPart.TubingBundle ⊓ ∃hasQuality.Flexibility ⊓ ∃hasQuality.EasyDisconnectability) — Step 3: structural property — necessary condition, not sufficient (OWA prevents ≡)
[Necessary part: CableBundle]∀x (Umbilical(x) → ∃p (CableBundle(p) ∧ hasComponentPartAtAllTimes(x,p))) — Step 4: mereological commitment — every instance must have this part
[Necessary part: TubingBundle]∀x (Umbilical(x) → ∃p (TubingBundle(p) ∧ hasComponentPartAtAllTimes(x,p))) — Step 4: mereological commitment — every instance must have this part
[Process participation signature]∀x ∀f ((Umbilical(x) ∧ MultiServiceTransmissionFunction(f) ∧ bearerOf(x,f)) →
∃m1 (ElectricalSignal(m1) ∧ participatesIn(m1,f)) ∧
∃m2 (FluidPortion(m2) ∧ participatesIn(m2,f)) ∧
∃e1 (ElectricalSignal(e1) ∧ participatesIn(e1,f)) ∧
∃e2 (FluidPortion(e2) ∧ participatesIn(e2,f)) ∧
processType(f,FlowDirectionControl)) — Step 5: typed participants in the realising process
OWL 2 / Turtle
@prefix copi: <https://www.inf.ufrgs.br/ontologies/copi/> .
@prefix : <https://www.inf.ufrgs.br/ontologies/copi/> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix bfo: <http://purl.obolibrary.org/obo/> .
@prefix iof-core: <https://spec.industrialontologies.org/ontology/construct/> .
@prefix iof-av: <https://spec.industrialontologies.org/ontology/annotation/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix apv: <http://inf.ufrgs.br/ontologies/apv#> .
### COPI — Core Ontology for Petroleum Installations
### Class module: Umbilical
<https://www.inf.ufrgs.br/ontologies/copi>
rdf:type owl:Ontology ;
dcterms:title "Core Ontology for Petroleum Installations (COPI)"@en ;
dcterms:title "Ontologia Core para Instalações de Petróleo (COPI)"@pt-br ;
dcterms:description "BFO/IOF-Core conformant ontology of equipment classes for petroleum production plants, developed using the five-step RDL enrichment method."@en ;
skos:scopeNote "Material artifacts (bfo:material_entity) that (i) are part of a petroleum production plant, and (ii) bear at least one function whose realization involves the transport (e.g. production and injection), processing (separation and other processes), control, monitoring, measurement, containment or offloading of material or energy."@en ;
skos:scopeNote "Artefatos materiais (bfo:material_entity) que (i) fazem parte de uma planta de produção de petróleo, e (ii) possuem ao menos uma função cuja realização envolve o transporte (p. ex. produção e injeção), processamento (separação e outros processos), controle, monitoramento, medição, contenção ou escoamento de material ou energia."@pt-br ;
skos:scopeNote "COPI provides high-level equipment categories defined by function to demonstrate the defined-class mechanism. Equipment subtypes are annotated with references to CFIHOS and PCA RDL terms. COPI is not a reference data library; organizations should use CFIHOS, PCA RDL, or ISO 14224 for comprehensive equipment classification."@en ;
skos:scopeNote "COPI fornece categorias de alto nível de equipamentos definidas por função para demonstrar o mecanismo de classe definida. Os subtipos de equipamentos são anotados com referências aos termos do CFIHOS e do PCA RDL. COPI não é uma biblioteca de dados de referência; organizações devem utilizar o CFIHOS, o PCA RDL ou a ISO 14224 para classificação abrangente de equipamentos."@pt-br ;
owl:versionInfo "1.1.0-104-g4d16eff" ;
owl:imports <https://spec.industrialontologies.org/ontology/core/Core/> ;
owl:imports <http://purl.obolibrary.org/obo/bfo/2020/bfo.owl> ;
dcterms:creator "Nicolau Oyhenard dos Santos"@en ;
dcterms:contributor "Cauã Antunes" ;
dcterms:contributor "Haroldo Rojas" ;
dcterms:contributor "Rafael Petry" ;
dcterms:contributor "Régis Romeu" ;
dcterms:contributor "Mara Abel" ;
dcterms:isPartOf <https://inf.ufrgs.br/projetos/OntoKG> ;
dcterms:publisher "Universidade Federal do Rio Grande do Sul (UFRGS)"@en ;
dcterms:license <https://creativecommons.org/licenses/by/4.0/> ;
dcterms:created "2026-04-08"^^xsd:date ;
dcterms:modified "2026-07-13"^^xsd:date ;
apv:GlobalMinLanguageCoverage "en pt-br" ;
apv:ClassURIFormationRule "https://www[.]inf[.]ufrgs[.]br/ontologies/copi/(COPI_[0-9]{7}|[A-Z][A-Za-z0-9]*)" ;
apv:ClassMinAnnotationCoverage "rdfs:label https://spec.industrialontologies.org/ontology/annotation/naturalLanguageDefinition" .
iof-av:naturalLanguageDefinition rdf:type owl:AnnotationProperty ;
apv:MinAnnotationLength 20 .
### Identity-giving function
:MultiServiceTransmissionFunction rdf:type owl:Class ;
rdfs:subClassOf iof-core:DesignedFunction ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty bfo:BFO_0000054 ; # realizedIn
owl:allValuesFrom :MultiServiceTransmissionProcess
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty bfo:BFO_0000054 ; # realizedIn
owl:someValuesFrom :MultiServiceTransmissionProcess
] ;
rdfs:label "multi service transmission function"@en ;
rdfs:label "função de transmissão de múltiplos serviços"@pt-br .
### Process type
:MultiServiceTransmissionProcess rdf:type owl:Class ;
rdfs:subClassOf iof-core:PlannedProcess ;
rdfs:label "multi service transmission process"@en ;
rdfs:label "processo de transmissão de múltiplos serviços"@pt-br .
:MultiServiceTransmissionProcess
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasInput ;
owl:someValuesFrom :ElectricalSignal
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasInput ;
owl:someValuesFrom :FluidPortion
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasSpecifiedOutput ;
owl:someValuesFrom :ElectricalSignal
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasSpecifiedOutput ;
owl:someValuesFrom :FluidPortion
] .
### Equipment universal: Umbilical
:Umbilical rdf:type owl:Class ;
rdfs:subClassOf iof-core:Assembly ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasFunction ; # Object branch (MaterialArtifact/Assembly/Object/FiatObjectPart)
owl:someValuesFrom :MultiServiceTransmissionFunction
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasComponentPartAtAllTimes ;
owl:someValuesFrom :CableBundle
] ;
rdfs:subClassOf [
rdf:type owl:Restriction ;
owl:onProperty iof-core:hasComponentPartAtAllTimes ;
owl:someValuesFrom :TubingBundle
] ;
rdfs:label "umbilical"@en ;
rdfs:label "umbilical"@pt-br ;
iof-av:naturalLanguageDefinition "An umbilical is an assembly that is a flexible and easily disconnectable bundle containing both cables and tubing for multi-service transmission including control, power, communication, and chemical injection."@en ;
skos:definition "An umbilical is an assembly that is a flexible and easily disconnectable bundle containing both cables and tubing for multi-service transmission including control, power, communication, and chemical injection."@en ;
iof-av:naturalLanguageDefinition "Um umbilical é uma montagem que é um feixe flexível e facilmente desconectável contendo cabos e tubulação para transmissão de múltiplos serviços incluindo controle, energia, comunicação e injeção química."@pt-br ;
iof-av:semiFormalNaturalLanguageAxiom "Every umbilical is an assembly that has component parts including cable bundles and tubing bundles, and has the qualities of flexibility and easy disconnectability."@en ;
iof-av:firstOrderLogicAxiom "∀x (Umbilical(x) → Assembly(x) ∧ ∃c,t,s,conn (CableBundle(c) ∧ TubingBundle(t) ∧ ProtectiveSheathing(s) ∧ ConnectorAssembly(conn) ∧ hasComponentPartAtAllTimes(x,c) ∧ hasComponentPartAtAllTimes(x,t) ∧ hasComponentPartAtAllTimes(x,s) ∧ hasComponentPartAtAllTimes(x,conn) ∧ hasQuality(x,Flexibility) ∧ hasQuality(x,EasyDisconnectability)))"@en ;
iof-av:isPrimitive "true"^^xsd:boolean ;
iof-av:primitiveRationale "Constructive basis requires necessary conditions only. Under OWA, any assembly with cables, tubing, flexibility, and disconnectability could be forcibly classified as umbilical, including specialized multi-service bundles, complex wiring harnesses, or custom transmission assemblies that contain these elements but serve different industrial contexts and maintenance categories."@en ;
:CableBundle rdf:type owl:Class ;
rdfs:subClassOf iof-core:Assembly ;
rdfs:label "feixe de cabo"@pt-br ;
rdfs:label "cable bundle"@en .
:TubingBundle rdf:type owl:Class ;
rdfs:subClassOf iof-core:Assembly ;
rdfs:label "feixe de coluna de produção"@pt-br ;
rdfs:label "tubing bundle"@en .
# Disjointness: Umbilical and Pipe
[] rdf:type owl:AllDisjointClasses ;
owl:members ( :Umbilical :Pipe ) .
# Disjointness: Umbilical and Hose
[] rdf:type owl:AllDisjointClasses ;
owl:members ( :Umbilical :Hose ) .