<!--++ description-logic/inconsistent909.rdf ** generated using webont test editor. ++-->
<!--++ Created 9 Sep 2003 20:23:14 GMT ++-->
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  $Id: inconsistent909.rdf,v 1.5 2003-12-05 05:06:35 jeremy_carroll Exp $
-->
<!--
This test shows integer multiplication in OWL DL.<br></br>
For some finite K,
N times K is 2 times K. M times K is 3 times K.
N times M times K is not 5 times K.
-->
<!-- Author: Jeremy J. Carroll -->
<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/inconsistent909" >

   <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="#finite" />
   </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="#finite" />
   </owl:FunctionalProperty>
   <owl:ObjectProperty rdf:about="#r-N-times-M-to-1"/>
  
   <owl:FunctionalProperty rdf:ID="f-K-to-1" >
     <owl:inverseOf>
        <owl:ObjectProperty rdf:ID="invF-1-to-K" />
     </owl:inverseOf>
     <rdfs:domain rdf:resource="#finite" />
     <rdfs:range rdf:resource="#only-d" />
   </owl:FunctionalProperty>
   <owl:ObjectProperty rdf:about="#f-K-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="#invF-1-to-K"/>
          <owl:maxCardinality rdf:datatype=
            "http://www.w3.org/2001/XMLSchema#integer"
           >1000000000</owl:maxCardinality>
        </owl:Restriction>
      </owl:equivalentClass>
    </owl:Class>

    <owl:Class rdf:ID="finite">
      <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"
           >5</owl:cardinality>

       <owl:equivalentClass>
          <owl:Restriction>
            <owl:onProperty rdf:resource="#f-K-to-1"/>
            <owl:someValuesFrom rdf:resource="#only-d"/>
          </owl:Restriction>
       </owl:equivalentClass>

        </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="#finite"/>
         </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="#finite"/>
          </owl:Restriction>
       </owl:equivalentClass>
    </owl:Class>


</rdf:RDF>