# Generated with http://eulersharp.sourceforge.net/ version 1.4.7 on 29 Sep 2005 12:57:28 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/SymmetricProperty/Manifest002.rdf>!log:semantics
 <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf>!log:semantics
 <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3>!log:semantics
 <http://eulersharp.sourceforge.net/2003/03swap/xsd-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/xsd-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://eulersharp.sourceforge.net/2003/03swap/owl-rules#>.
@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/2002/07/owl#>.
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#>.

{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> rdfs:range <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#A>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_4>. 
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#A> owl:oneOf _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_10>. 
 {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_1>. 
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_12>. 
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_2>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_8>. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_6>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:rest ()} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_7>. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_252>} e:sequent {
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_253>}} e:sequent {
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_253>}. 
 {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1052_5_ owl:oneOf _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
 {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_1>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}. 
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> owl:equivalentClass <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_2>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_8>. 
   {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
    {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/07/owl#kb>} e:sequent {
    {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}} e:sequent {
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b> owl:equivalentClass <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:rest ()} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_7>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ :includes ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_234>} e:sequent {
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ :includes _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
 {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_ :includes _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}. 
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> rdf:type owl:InverseFunctionalProperty} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_3>} e:sequent {
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2000/01/rdf-schema#domain> _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1052_5_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_169>}. 
{{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> rdfs:range <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#A>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_4>. 
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#A> owl:oneOf _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_10>. 
 {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_1>. 
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_12>. 
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_2>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_8>. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_6>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:rest ()} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_7>. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_252>} e:sequent {
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_253>}} e:sequent {
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> :reflexive _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_253>}. 
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#A> owl:oneOf _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_10>. 
 {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_1>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_1>} e:sequent {
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}. 
  {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> owl:equivalentClass <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_2>. 
  {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_8>. 
   {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_2>. 
    {{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_8>} e:sequent {
    {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_228>}} e:sequent {
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ :item <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_229>}. 
   {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b> owl:equivalentClass <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_ rdf:rest ()} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_7>. 
   {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ :includes ()} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_234>} e:sequent {
  {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ :includes _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1053_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}} e:sequent {
 {_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_ :includes _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1054_85_} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_235>}. 
 {<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> rdf:type owl:InverseFunctionalProperty} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_3>} e:sequent {
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.w3.org/2002/07/owl#SymmetricProperty>} e:evidence <http://eulersharp.sourceforge.net/2003/03swap/owl-rules.n3#_139>}. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1052_5_ <http://www.w3.org/2002/07/owl#oneOf> _:AX2dX20b5deb6X3aX10691944472X3aXX2dX1051_5_} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1052_5_ <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.w3.org/2002/07/owl#Class>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.w3.org/2002/07/owl#Thing>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#b>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX1050_5_ rdf:rest _:AX2dX20b5deb6X3aX10691944472X3aXX2dX104f_5_} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX104f_5_ rdf:first <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#c>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{_:AX2dX20b5deb6X3aX10691944472X3aXX2dX104f_5_ rdf:rest ()} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#c> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.w3.org/2002/07/owl#Thing>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#equalityOnA> <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a>} e:evidence <http://www.w3.org/2002/03owlt/SymmetricProperty/premises002.rdf#_12>. 
{<http://www.w3.org/2002/03owlt/SymmetricProperty/premises002#a> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://www.w3.org/2002/07/owl#Thing>} e:evidence <http://www.w3.org/2002/07/owl#kb>. 

# Proof found in 89726 steps (203918 steps/sec) using 1 engine (446 triples)
}.