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The given Problem was:
a ->
a -> b
a b -> b a c a
b ->
c c ->
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A self-embedding rewrite structure for the given SRS is:
a b b b c b --(11)-> b a b b b c b (#45592)
OC+OC at 4
OC: a b b b c b --(10)-> b a b b a c b (#18820)
OC+OC at 2
OC: a b b --(5)-> b a a (#173)
OC+OC at 2
OC: a b b --(4)-> b a c c a (#67)
OC+OC at 3
OC: a b b --(3)-> b a c b c a (#48)
OC+OC at 3
OC: a b --(1)-> b a c a (#3)
Rule
OC: a b --(2)-> b c a (#7)
OC+OC at 1
OC: a b --(1)-> b a c a (#3)
Rule
OC: a --(1)-> (#1)
Rule
OC: b --(1)-> (#4)
Rule
OC: c c --(1)-> (#5)
Rule
OC: a b c b --(5)-> b b a c b (#362)
OC+OC at 1
OC: a b c --(3)-> b a (#14)
OC+OC at 2
OC: a b --(2)-> b a c (#8)
OC+OC at 3
OC: a b --(1)-> b a c a (#3)
Rule
OC: a --(1)-> (#1)
Rule
OC: c c --(1)-> (#5)
Rule
OC: a b --(2)-> b a c b (#11)
OC+OC at 3
OC: a b --(1)-> b a c a (#3)
Rule
OC: a --(1)-> b (#2)
Rule
OC: a --(1)-> b (#2)
Rule
Hence, the SRS is non-terminating.