# Generated with http://www.agfa.com/w3c/euler/#28.061 on Sat Dec 01 02:19:31 GMT+01:00 2001 # for query http://www.agfa.com/w3c/euler/graph.lemma.n3 # given [http://www.agfa.com/w3c/euler/graph.axiom.n3, http://www.agfa.com/w3c/euler/rdfs-rules.n3, http://www.agfa.com/w3c/euler/wol-rules.n3] @prefix ns: . @prefix xsd: . @prefix rdfs: . @prefix nsns: . @prefix : . @prefix rdf: . @prefix ont: . @prefix mt: . @prefix log: . {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :orleans} log:implies {:parijs :twoway :orleans}} log:implies {:parijs :route :orleans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :orleans :oneway :blois} log:implies {:orleans :twoway :blois}} log:implies {:orleans :route :blois}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :blois :oneway :tours} log:implies {:blois :twoway :tours}} log:implies {:blois :route :tours}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :tours} log:implies {:lemans :twoway :tours}} log:implies {:tours :twoway :lemans}} log:implies {:tours :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:tours :route :nantes}} log:implies {:blois :route :nantes}} log:implies {:orleans :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :orleans} log:implies {:parijs :twoway :orleans}} log:implies {:parijs :route :orleans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :orleans :oneway :blois} log:implies {:orleans :twoway :blois}} log:implies {:orleans :route :blois}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :blois :oneway :tours} log:implies {:blois :twoway :tours}} log:implies {:blois :route :tours}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :tours} log:implies {:lemans :twoway :tours}} log:implies {:tours :twoway :lemans}} log:implies {:tours :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:tours :route :nantes}} log:implies {:blois :route :nantes}} log:implies {:orleans :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :orleans} log:implies {:parijs :twoway :orleans}} log:implies {:parijs :route :orleans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :orleans :oneway :blois} log:implies {:orleans :twoway :blois}} log:implies {:orleans :route :blois}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :blois :oneway :tours} log:implies {:blois :twoway :tours}} log:implies {:blois :route :tours}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :tours} log:implies {:lemans :twoway :tours}} log:implies {:tours :twoway :lemans}} log:implies {:tours :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:nantes :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:nantes :route :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:tours :route :nantes}} log:implies {:blois :route :nantes}} log:implies {:orleans :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :orleans} log:implies {:parijs :twoway :orleans}} log:implies {:parijs :route :orleans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :orleans :oneway :blois} log:implies {:orleans :twoway :blois}} log:implies {:orleans :route :blois}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :blois :oneway :tours} log:implies {:blois :twoway :tours}} log:implies {:blois :route :tours}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :tours} log:implies {:lemans :twoway :tours}} log:implies {:tours :twoway :lemans}} log:implies {:tours :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:nantes :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:nantes :route :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:tours :route :nantes}} log:implies {:blois :route :nantes}} log:implies {:orleans :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :chartres} log:implies {:parijs :twoway :chartres}} log:implies {:parijs :route :chartres}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :chartres :oneway :lemans} log:implies {:chartres :twoway :lemans}} log:implies {:chartres :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:chartres :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :chartres} log:implies {:parijs :twoway :chartres}} log:implies {:parijs :route :chartres}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :chartres :oneway :lemans} log:implies {:chartres :twoway :lemans}} log:implies {:chartres :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:chartres :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :chartres} log:implies {:parijs :twoway :chartres}} log:implies {:parijs :route :chartres}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :chartres :oneway :lemans} log:implies {:chartres :twoway :lemans}} log:implies {:chartres :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:nantes :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:nantes :route :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:chartres :route :nantes}} log:implies {:parijs :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :parijs :oneway :chartres} log:implies {:parijs :twoway :chartres}} log:implies {:parijs :route :chartres}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :chartres :oneway :lemans} log:implies {:chartres :twoway :lemans}} log:implies {:chartres :route :lemans}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :lemans :oneway :angers} log:implies {:lemans :twoway :angers}} log:implies {:lemans :route :angers}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}. {:route a ont:TransitiveProperty. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:nantes :route :angers}. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :twoway rdfs:subPropertyOf :route. {:twoway ont:inverseOf :twoway. {:twoway ont:inverseOf :twoway. {ns:RDFS-RULE-6 rdfs:isDefinedBy mt:rdfsentail. :oneway rdfs:subPropertyOf :twoway. :angers :oneway :nantes} log:implies {:angers :twoway :nantes}} log:implies {:nantes :twoway :angers}} log:implies {:angers :twoway :nantes}} log:implies {:angers :route :nantes}} log:implies {:nantes :route :nantes}} log:implies {:angers :route :nantes}} log:implies {:lemans :route :nantes}} log:implies {:chartres :route :nantes}} log:implies {:parijs :route :nantes}. # Proof found for http://www.agfa.com/w3c/euler/graph.lemma.n3 in 59527 steps (55839 steps/sec)