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The given Problem was:
a ->
a b -> b a c b a a
c b c ->
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A self-embedding rewrite structure for the given SRS is:
a b b c b --(8)-> b a c b a b b c b a (#527)
OC+OC at 7
OC: a b b c b --(7)-> b a c b a b b a c b a (#143)
OC+OC at 6
OC: a b b c --(5)-> b a c b a b a (#50)
OC+OC at 7
OC: a b b --(4)-> b a c b a b a c b (#41)
OC+OC at 9
OC: a b b --(3)-> b a c b a b a c b a (#10)
OC+OC at 5
OC: a b --(1)-> b a c b a a (#2)
Rule
OC: a b --(2)-> b a c b a (#5)
OC+OC at 4
OC: a b --(1)-> b a c b a a (#2)
Rule
OC: a --(1)-> (#1)
Rule
OC: a --(1)-> (#1)
Rule
OC: c b c --(1)-> (#3)
Rule
OC: a b --(2)-> b a c b a (#5)
OC+OC at 4
OC: a b --(1)-> b a c b a a (#2)
Rule
OC: a --(1)-> (#1)
Rule
OC: a --(1)-> (#1)
Rule
Hence, the SRS is non-terminating.