SPARQL query to get the "height" or distance to a common parent class.

height.sparql

PREFIX rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#>
PREFIX rdfs: <http://www.w3.org/2000/01/rdf-schema#>
PREFIX ldp: <http://www.w3.org/ns/ldp#>
PREFIX : <http://example.com#>

SELECT ?r (MIN(?h) AS ?height) WHERE {
  VALUES ?r { :h0 :h1 :h2 :h3 :h4 :h5 :h6 }
  VALUES ?p { ldp:Resource }
  {
    ?r rdf:type ?p
    BIND (0 AS ?h)
  } UNION {
    ?r rdf:type/rdfs:subClassOf{1,1} ?p
    BIND (1 AS ?h)
  } UNION {
    ?r rdf:type/rdfs:subClassOf{2,2} ?p
    BIND (2 AS ?h)
  } UNION {
    ?r rdf:type/rdfs:subClassOf{3,3} ?p
    BIND (3 AS ?h)
  } UNION {
    ?r rdf:type/rdfs:subClassOf{4,4} ?p
    BIND (4 AS ?h)
  } UNION {
    ?r rdf:type/rdfs:subClassOf{5,5} ?p
    BIND (5 AS ?h)
  }
} GROUP BY ?r