# Generated with http://eulersharp.sourceforge.net/ version 1.4.7 on 29 Sep 2005 13:07:23 GMT
@prefix log: <http://www.w3.org/2000/10/swap/log#>.
@prefix e: <http://eulersharp.sourceforge.net/2003/03swap/log-rules#>.

(<http://www.w3.org/2002/03owlt/oneOfP.n3>!log:semantics
 <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3>!log:semantics
 <http://eulersharp.sourceforge.net/2003/03swap/rdfs-rules.n3>!log:semantics)!log:conjunction e:constructs
{
@prefix str: <http://www.w3.org/2000/10/swap/string#>.
@prefix p0: <http://eulersharp.sourceforge.net/2003/03swap/owl-rules#>.
@prefix q: <http://www.w3.org/2004/ql#>.
@prefix e: <http://eulersharp.sourceforge.net/2003/03swap/log-rules#>.
@prefix xsd: <http://www.w3.org/2001/XMLSchema#>.
@prefix : <http://www.w3.org/2002/03owlt/oneOf#>.
@prefix log: <http://www.w3.org/2000/10/swap/log#>.
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#>.
@prefix math: <http://www.w3.org/2000/10/swap/math#>.
@prefix p1: <http://eulersharp.sourceforge.net/2003/03swap/rdfs-rules#>.
@prefix owl: <http://www.w3.org/2001/10/daml+oil#>.
@prefix p0owl: <http://www.w3.org/2002/07/owl#>.
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#>.

{{{:y p0owl:oneOf (:b :a :a)} e:evidence <http://www.w3.org/2002/03owlt/oneOfP.n3#_7>. 
  {:x p0owl:oneOf (:a :a :b)} e:evidence <http://www.w3.org/2002/03owlt/oneOfP.n3#_6>. 
  {{(:a :a :b) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {{(:b :a :a) rdf:rest (:a :a)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:a :a) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
    {(:a :a) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}} e:sequent {
   {(:b :a :a) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}. 
   {:a p0owl:equivalentClass :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {(:a :a :b) rdf:rest (:a :b)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {{(:a :b) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:b :a :a) rdf:rest (:a :a)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {{(:a :a) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
     {(:a :a) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}} e:sequent {
    {(:b :a :a) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}. 
    {:a p0owl:equivalentClass :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {(:a :b) rdf:rest (:b)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:b) rdf:first :b} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {{(:b :a :a) rdf:first :b} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
     {(:b :a :a) p0:item :b} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}. 
     {:b p0owl:equivalentClass :b} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {(:b) rdf:rest ()} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {(:b :a :a) p0:includes ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_234>} e:sequent {
    {(:b :a :a) p0:includes (:b)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
   {(:b :a :a) p0:includes (:a :b)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
  {(:b :a :a) p0:includes (:a :a :b)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
 {:x rdfs:subClassOf :y} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_125>}. 
 {{:x p0owl:oneOf (:a :a :b)} e:evidence <http://www.w3.org/2002/03owlt/oneOfP.n3#_6>. 
  {:y p0owl:oneOf (:b :a :a)} e:evidence <http://www.w3.org/2002/03owlt/oneOfP.n3#_7>. 
  {{(:b :a :a) rdf:first :b} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {{(:a :a :b) rdf:rest (:a :b)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:a :b) rdf:rest (:b)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {{(:b) rdf:first :b} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
     {(:b) p0:item :b} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}} e:sequent {
    {(:a :b) p0:item :b} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}} e:sequent {
   {(:a :a :b) p0:item :b} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}. 
   {:b p0owl:equivalentClass :b} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {(:b :a :a) rdf:rest (:a :a)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {{(:a :a) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:a :a :b) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
    {(:a :a :b) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}. 
    {:a p0owl:equivalentClass :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {(:a :a) rdf:rest (:a)} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{(:a) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {{(:a :a :b) rdf:first :a} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
     {(:a :a :b) p0:item :a} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}. 
     {:a p0owl:equivalentClass :a} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {(:a) rdf:rest ()} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
     {(:a :a :b) p0:includes ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_234>} e:sequent {
    {(:a :a :b) p0:includes (:a)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
   {(:a :a :b) p0:includes (:a :a)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
  {(:a :a :b) p0:includes (:b :a :a)} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
 {:y rdfs:subClassOf :x} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_125>}} e:sequent {
{:x owl:sameClassAs :y} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_119>}. 

# Proof found in 1396 steps (139460 steps/sec) using 1 engine (292 triples)
}.