TestCase:WebOnt-description-logic-905

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Test Id WebOnt-description-logic-905
Description This test shows integer multiplication in OWL DL.

N is 2. M is 3. N times M is 6.

Status Approved (2009-07-02 when passed by two or more implementations) (proposed 2009-01-05)
Author Jeremy J. Carroll
Original syntax RDF-XML
Syntactic Species/Profile OWL 2 DL (not EL, not QL, not RL)
Semantics This test is applicable under both direct and RDF-based semantics.
WebOnt test http://www.w3.org/2002/03owlt/description-logic/Manifest905#test
Consistent ontology (download)

Convert syntax: functional, XML, Manchester      This informative conversion will be incorrect for OWL 2 Full. info.pngConversions are provided by the OWL Syntax Converter which tries to "repair" OWL 2 Full inputs to become DL.
Open in RDF Validator

<rdf:RDF
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:owl="http://www.w3.org/2002/07/owl#"
    xmlns:rdfs= "http://www.w3.org/2000/01/rdf-schema#"
    xml:base="http://www.w3.org/2002/03owlt/description-logic/consistent905" >
   <owl:Ontology/>
   <owl:FunctionalProperty rdf:ID="p-N-to-1" >
     <owl:inverseOf>
        <owl:ObjectProperty rdf:ID="invP-1-to-N" />
     </owl:inverseOf>
     <rdfs:domain rdf:resource="#cardinality-N" />
     <rdfs:range rdf:resource="#only-d" />
   </owl:FunctionalProperty>
   <owl:ObjectProperty rdf:about="#p-N-to-1" />
   <owl:FunctionalProperty rdf:ID="q-M-to-1" >
     <owl:inverseOf>
        <owl:ObjectProperty  rdf:ID="invQ-1-to-M" />
     </owl:inverseOf>
     <rdfs:domain rdf:resource="#cardinality-N-times-M" />
     <rdfs:range rdf:resource="#cardinality-N" />
   </owl:FunctionalProperty>
   <owl:ObjectProperty rdf:about="#q-M-to-1" />
   <owl:FunctionalProperty rdf:ID="r-N-times-M-to-1">
     <owl:inverseOf>
        <owl:ObjectProperty  rdf:ID="invR-N-times-M-to-1" />
     </owl:inverseOf>
     <rdfs:domain rdf:resource="#cardinality-N-times-M" />
     <rdfs:range rdf:resource="#only-d" />
   </owl:FunctionalProperty>
   <owl:ObjectProperty rdf:about="#r-N-times-M-to-1"/>
    <owl:Class rdf:ID="only-d">
      <owl:oneOf rdf:parseType="Collection">
         <owl:Thing rdf:ID="d"/>
      </owl:oneOf>
      <owl:equivalentClass>
        <owl:Restriction>
          <owl:onProperty rdf:resource="#invP-1-to-N"/>
          <owl:cardinality rdf:datatype=
            "http://www.w3.org/2001/XMLSchema#integer"
           >2</owl:cardinality>
        </owl:Restriction>
      </owl:equivalentClass>
      <owl:equivalentClass>
         <owl:Restriction>
           <owl:onProperty rdf:resource="#invR-N-times-M-to-1"/>
          <owl:cardinality rdf:datatype=
            "http://www.w3.org/2001/XMLSchema#integer"
           >6</owl:cardinality>
        </owl:Restriction>
      </owl:equivalentClass>
    </owl:Class>
    <owl:Class rdf:ID="cardinality-N">
       <owl:equivalentClass>
         <owl:Restriction>
           <owl:onProperty rdf:resource="#p-N-to-1"/>
           <owl:someValuesFrom rdf:resource="#only-d"/>
         </owl:Restriction>
       </owl:equivalentClass>
       <owl:equivalentClass>
         <owl:Restriction>
             <owl:onProperty rdf:resource="#invQ-1-to-M"/>
             <owl:cardinality rdf:datatype=
               "http://www.w3.org/2001/XMLSchema#integer"
              >3</owl:cardinality>
         </owl:Restriction>
       </owl:equivalentClass>
    </owl:Class>
    <owl:Class rdf:ID="cardinality-N-times-M">
       <owl:equivalentClass>
          <owl:Restriction>
            <owl:onProperty rdf:resource="#q-M-to-1"/>
            <owl:someValuesFrom rdf:resource="#cardinality-N"/>
          </owl:Restriction>
       </owl:equivalentClass>
    </owl:Class>
    <owl:Class rdf:about="#cardinality-N-times-M">
       <owl:equivalentClass>
          <owl:Restriction>
            <owl:onProperty rdf:resource="#r-N-times-M-to-1"/>
            <owl:someValuesFrom rdf:resource="#only-d"/>
          </owl:Restriction>
       </owl:equivalentClass>
    </owl:Class>
</rdf:RDF>
Imported ontologies none

The version of this test approved by the WebOnt WG was incorrect. The input ontology present in that version of the test was marked as an OWL DL document, but was not OWL DL because it did not contain a triple of the form O rdf:type owl:Ontology. The ontology has been revised to contain the necessary triple.

OWL EL Report (Informative)

Ontology violates the OWL EL constraints in at least the following:

OWL QL Report (Informative)

Ontology violates the OWL QL constraints in at least the following:

OWL RL Report (Informative)

Ontology violates the OWL RL constraints in at least the following:

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