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     <!ENTITY ocyc "http://sw.opencyc.org/concept/" >
     <!ENTITY cyc  "http://sw.cyc.com/concept/" >
     <!ENTITY rdf  "http://www.w3.org/1999/02/22-rdf-syntax-ns#" >
     <!ENTITY rdfs "http://www.w3.org/2000/01/rdf-schema#" >
     <!ENTITY xsd  "http://www.w3.org/2001/XMLSchema#" >
     <!ENTITY owl  "http://www.w3.org/2002/07/owl#" >
   ]>

<rdf:RDF xml:base="http://sw.opencyc.org/2008/06/10/concept/en/"
         xmlns="http://sw.opencyc.org/2008/06/10/concept/en/"
         xmlns:cycAnnot="http://sw.cyc.com/CycAnnotations_v1#"
         xmlns:rdf="&rdf;"
         xmlns:rdfs="&rdfs;"
         xmlns:owl="&owl;"
         xmlns:xsd="&xsd;">

  <owl:Ontology rdf:about="http://sw.opencyc.org/2008/06/10/concept/en/">
    <owl:versionInfo>2008/06/10</owl:versionInfo>
    <rdfs:comment xml:lang="en">

      OpenCyc Knowledge Base

      Copyright© 2001-2008 Cycorp, Inc., http://www.cyc.com/, Austin, TX, USA

      This file contains an OWL representation of information contained 
      in the OpenCyc Knowledge Base. The content of this OWL file is 
      licensed under the Creative Commons Attribution 3.0 license whose 
      text can be found at http://creativecommons.org/licenses/by/3.0/legalcode. 
      The content of this OWL file, including the OpenCyc content it represents, 
      constitutes the "Work" referred to in the Creative Commons license. The terms of 
      this license equally apply to, without limitation, renamings and other 
      logically equivalent reformulations of the content of this OWL file 
      (or portions thereof) in any natural or formal language, as well 
      as to derivations of this content or inclusion of it in other ontologies.

    </rdfs:comment>
  </owl:Ontology>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#externalID">
    <rdfs:label xml:lang="en">externalID</rdfs:label>
    <rdfs:comment xml:lang="en">
      A unique, language-neutral, variable-sized identifier
      for a concept that can be used to refer unambiguously to that concept across 
      OWL exports or across Cyc inference engines.
    </rdfs:comment>
    <rdf:type rdf:resource="http://www.w3.org/2002/07/owl#FunctionalProperty"/>
  </owl:AnnotationProperty>

  <owl:AnnotationProperty rdf:about="http://sw.cyc.com/CycAnnotations_v1#label">
    <rdfs:label xml:lang="en">label</rdfs:label>
    <rdfs:comment xml:lang="en">
      A natural-language representation for a concept that is both human 
      readable and readable by the Cyc inference engine. These terms are not 
      guaranteed to refer to the same concept across time but are guaranteed to
      be consistent within a particular OWL export. Use 'cycAnnot:externalID'
      for unambiguously referring to a concept across OWL exports or across Cyc
      inference engines.
    </rdfs:comment>
  </owl:AnnotationProperty>

  <owl:Class rdf:about="Line_Straight">
    <cycAnnot:externalID>Mx4rvVjC4JwpEbGdrcN5Y29ycA</cycAnnot:externalID>
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:subClassOf rdf:resource="SimplyConnectedSpaceRegion"/>
    <rdfs:subClassOf rdf:resource="OneDimensionalGeometricThing"/>
    <rdfs:subClassOf rdf:resource="LinearObject_Straight"/>
    <rdfs:subClassOf rdf:resource="LocallyEuclideanSpatialThing"/>
    <rdfs:subClassOf rdf:resource="Line_Planar"/>
    <rdf:type rdf:resource="LinearObjectConcept"/>
    <rdf:type rdf:resource="GeometricShapeType"/>
    <rdf:type rdf:resource="MereotopologyConcept"/>
    <owl:sameAs rdf:resource="&ocyc;Mx4rvVjC4JwpEbGdrcN5Y29ycA"/>
    <owl:sameAs rdf:resource="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjC4JwpEbGdrcN5Y29ycA"/>
    <owl:sameAs rdf:resource="http://www.w3.org/2006/03/wn/wn20/instances/synset-straight_line-noun-1"/>
    <owl:sameAs rdf:resource="&cyc;Mx4rvVjC4JwpEbGdrcN5Y29ycA"/>
    <owl:sameAs rdf:resource="http://umbel.org/umbel/sc/Line_Straight"/>
    <prettyString xml:lang="en">straight lines</prettyString>
  </owl:Class>

  <Line_Straight rdf:about="AxisOfRotation_Earth">
    <rdfs:label xml:lang="en">Axis Of Rotation Earth</rdfs:label>
    <rdfs:comment xml:lang="en">Earth&apos;s axis of rotation, defined by Earth&apos;s continuous West to East motion.  This axis points from the south side of the earth to the north side of the earth.</rdfs:comment>
    <cycAnnot:label xml:lang="en">AxisOfRotation-Earth</cycAnnot:label>
  </Line_Straight>

  <owl:Thing rdf:about="http://umbel.org/umbel/sc/Line_Straight">
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
  </owl:Thing>

  <owl:Class rdf:about="LocallyEuclideanSpatialThing">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/SpatialThing&quot; class=&quot;cyc_term&quot;&gt;SpatialThing&lt;/a&gt;.    Roughly speaking, a spatial thing is a &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LocallyEuclideanSpatialThing&quot; class=&quot;cyc_term&quot;&gt;LocallyEuclideanSpatialThing&lt;/a&gt; if it has no self-intersections.   For example, a line-segment is geometrically simple if it can be traced without visiting the same point twice; a two-dimensional region is geometrically simple if its boundary is simple.
&lt;p/&gt;
More formally, an &lt;code&gt;&lt;b&gt;N&lt;/b&gt;&lt;/code&gt;-dimensional spatial thing &lt;code&gt;&lt;b&gt;THING&lt;/b&gt;&lt;/code&gt; is geometrically simple if and only if, for every point in the interior of &lt;code&gt;&lt;b&gt;THING&lt;/b&gt;&lt;/code&gt;, there exists a neighborhood of the point contained in the interior of &lt;code&gt;&lt;b&gt;THING&lt;/b&gt;&lt;/code&gt; and a homeomorphism (open and continuous bijection) that maps the neighborhood onto an open subset of &lt;code&gt;&lt;b&gt;N&lt;/b&gt;&lt;/code&gt; dimensional Euclidean space.
&lt;p/&gt;
While CycL currently lacks the vocabulary to codify the formal definition, we can state restricted forms of it for certain classes of spatial things, and do so in the cases that are of immediate interest.  For these, see the reified specializations of this collection.</rdfs:comment>
    <cycAnnot:label xml:lang="en">LocallyEuclideanSpatialThing</cycAnnot:label>
    <rdfs:label xml:lang="en">manifold</rdfs:label>
  </owl:Class>

  <owl:Class rdf:about="LinearObject_Straight">
    <rdfs:label xml:lang="en">straight thing</rdfs:label>
    <cycAnnot:label xml:lang="en">LinearObject-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject&quot; class=&quot;cyc_term&quot;&gt;LinearObject&lt;/a&gt; (q.v.). &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; is the collection of all linearly-shaped objects that are more-or-less straight (i.e. not curved), whether tangible or intangible.  
&lt;p/&gt;
Note that the criterion for being &amp;quot;straight&amp;quot; in the present sense varies from context to context.  For example, the standard of straightness for limning a football field is less precise than that for pure geometry.  
&lt;p/&gt;
Important geometrical specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; are &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Ray_Geometrical&quot; class=&quot;cyc_term&quot;&gt;Ray_Geometrical&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LineSegment&quot; class=&quot;cyc_term&quot;&gt;LineSegment&lt;/a&gt;.</rdfs:comment>
  </owl:Class>

  <owl:Class rdf:about="GeometricShapeType">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/SpatialThingTypeByShape&quot; class=&quot;cyc_term&quot;&gt;SpatialThingTypeByShape&lt;/a&gt; (q.v.).  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/GeometricShapeType&quot; class=&quot;cyc_term&quot;&gt;GeometricShapeType&lt;/a&gt; is a type of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/GeometricallyDescribableThing&quot; class=&quot;cyc_term&quot;&gt;GeometricallyDescribableThing&lt;/a&gt; (q.v.) whose own instances are all and only those things that have a common shape that is characterizable in relatively simple geometric terms.  An instance of a given geometric shape-type is a geometrically-describable object, which might either be intangible or tangible (though in the latter case it must be three-dimensional).
&lt;p/&gt;
For example, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Sphere&quot; class=&quot;cyc_term&quot;&gt;Sphere&lt;/a&gt; is the collection of all spherical object; it includes both spherical space regions and crystal balls.  Similarly, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Circle&quot; class=&quot;cyc_term&quot;&gt;Circle&lt;/a&gt; is the collection of all two-dimensional circles; all of its instances are &lt;i&gt;intangible&lt;/i&gt;, since tangible objects are by their nature three-dimensional.
&lt;p/&gt;
Specializations of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/GeometricShapeType&quot; class=&quot;cyc_term&quot;&gt;GeometricShapeType&lt;/a&gt; include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/TwoDimensionalShapeType&quot; class=&quot;cyc_term&quot;&gt;TwoDimensionalShapeType&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/ThreeDimensionalShapeType&quot; class=&quot;cyc_term&quot;&gt;ThreeDimensionalShapeType&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">type of shape</rdfs:label>
    <cycAnnot:label xml:lang="en">GeometricShapeType</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="OneDimensionalGeometricThing">
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/OneDimensionalThing&quot; class=&quot;cyc_term&quot;&gt;OneDimensionalThing&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/GeometricallyDescribableThing&quot; class=&quot;cyc_term&quot;&gt;GeometricallyDescribableThing&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/ShapedObject&quot; class=&quot;cyc_term&quot;&gt;ShapedObject&lt;/a&gt; (qq.v.).   &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/OneDimensionalGeometricThing&quot; class=&quot;cyc_term&quot;&gt;OneDimensionalGeometricThing&lt;/a&gt; is the collection of all one-dimensional, self-connected objects that can be described in relatively simple geometric terms.  Specializations of this collection include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LineSegment_Straight&quot; class=&quot;cyc_term&quot;&gt;LineSegment_Straight&lt;/a&gt;, &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Arc&quot; class=&quot;cyc_term&quot;&gt;Arc&lt;/a&gt;, and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Ellipse&quot; class=&quot;cyc_term&quot;&gt;Ellipse&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">one-dimensional thing</rdfs:label>
    <cycAnnot:label xml:lang="en">OneDimensionalGeometricThing</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="MereotopologyConcept">
    <rdfs:label xml:lang="en">mereotopology concept</rdfs:label>
    <rdfs:comment xml:lang="en">Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/MereotopologyConcept&quot; class=&quot;cyc_term&quot;&gt;MereotopologyConcept&lt;/a&gt; are concepts which are included in the domain of mereotopology; therefore, parts, boundaries and the topological relationships among them would be instances of this collection.</rdfs:comment>
    <cycAnnot:label xml:lang="en">MereotopologyConcept</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="SimplyConnectedSpaceRegion">
    <rdfs:comment xml:lang="en">A specialization of &lt;font color=&quot;#ff0000&quot;&gt;#$ConnectedSpaceRegion&lt;/font&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/SimplyConnectedThing&quot; class=&quot;cyc_term&quot;&gt;SimplyConnectedThing&lt;/a&gt; (qq.v.).  This is the collection of all and only simply-connected space regions.  A notable specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/SimplyConnectedSpaceRegion&quot; class=&quot;cyc_term&quot;&gt;SimplyConnectedSpaceRegion&lt;/a&gt; is &lt;font color=&quot;#ff0000&quot;&gt;#$ConvexSpaceRegion&lt;/font&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">simply connected space region</rdfs:label>
    <cycAnnot:label xml:lang="en">SimplyConnectedSpaceRegion</cycAnnot:label>
  </owl:Class>

  <owl:Class rdf:about="LinearObjectConcept">
    <cycAnnot:label xml:lang="en">LinearObjectConcept</cycAnnot:label>
    <rdfs:label xml:lang="en">linear object concept</rdfs:label>
    <rdfs:comment xml:lang="en">Instances of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObjectConcept&quot; class=&quot;cyc_term&quot;&gt;LinearObjectConcept&lt;/a&gt; are concepts which are types or relations about &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject&quot; class=&quot;cyc_term&quot;&gt;LinearObject&lt;/a&gt;s.</rdfs:comment>
  </owl:Class>

  <owl:Class rdf:about="&ocyc;Mx4rvVjC4JwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
  </owl:Class>

  <owl:Class rdf:about="Line_Planar">
    <cycAnnot:label xml:lang="en">Line-Planar</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Planar&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Planar&lt;/a&gt; (qq.v.).  Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Planar&quot; class=&quot;cyc_term&quot;&gt;Line_Planar&lt;/a&gt; is a (straight or curved) intangible line that remains in a single two-dimensional plane. Specializations of this collection include &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Arc&quot; class=&quot;cyc_term&quot;&gt;Arc&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt;.  And cf. &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_NonPlanar&quot; class=&quot;cyc_term&quot;&gt;Line_NonPlanar&lt;/a&gt;.</rdfs:comment>
    <rdfs:label xml:lang="en">planar thing</rdfs:label>
  </owl:Class>

  <owl:Thing rdf:about="http://www.w3.org/2006/03/wn/wn20/instances/synset-straight_line-noun-1">
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
  </owl:Thing>

  <owl:Class rdf:about="&cyc;Mx4rvVjC4JwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
  </owl:Class>

  <owl:Class rdf:about="http://sw.opencyc.org/2008/06/10/concept/Mx4rvVjC4JwpEbGdrcN5Y29ycA">
    <cycAnnot:label xml:lang="en">Line-Straight</cycAnnot:label>
    <rdfs:comment xml:lang="en">A specialization of both &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line&quot; class=&quot;cyc_term&quot;&gt;Line&lt;/a&gt; and &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/LinearObject_Straight&quot; class=&quot;cyc_term&quot;&gt;LinearObject_Straight&lt;/a&gt; (qq.v.). Each instance of &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/Line_Straight&quot; class=&quot;cyc_term&quot;&gt;Line_Straight&lt;/a&gt; is an endless straight line. Examples include spatially localized objects as well as abstract lines.</rdfs:comment>
    <rdfs:label xml:lang="en">straight line</rdfs:label>
  </owl:Class>

  <owl:ObjectProperty rdf:about="prettyString">
    <cycAnnot:label xml:lang="en">prettyString</cycAnnot:label>
    <rdfs:comment xml:lang="en">(&lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/prettyString&quot; class=&quot;cyc_term&quot;&gt;prettyString&lt;/a&gt; TERM STRING) means that STRING is the English word or expression (sequence of words) commonly used to refer to TERM.  The predicate &lt;a href=&quot;http://sw.opencyc.org/2008/06/10/concept/en/prettyString&quot; class=&quot;cyc_term&quot;&gt;prettyString&lt;/a&gt; is used by the code which generates CycL to English paraphrases, but its applicability is not restricted to this use.</rdfs:comment>
    <rdfs:label xml:lang="en">Pretty String</rdfs:label>
  </owl:ObjectProperty>

</rdf:RDF>
