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The given Problem was:
a ->
a b -> b c a a
b -> a
c c -> b
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A self-embedding rewrite structure for the given SRS is:
a b b c --(12)-> a b b c a a (#51900)
OC+OC at 1
OC: a b b c --(11)-> a c c b c a a (#50217)
OC+OC at 3
OC: a b b c --(10)-> a c c a b (#3486)
OC+OC at 4
OC: a b b --(9)-> a c c a c (#3258)
OC+OC at 2
OC: a b b --(5)-> a c a b c (#200)
OC+OC at 0
OC: a b b --(4)-> b c a b c (#131)
OC+OC at 5
OC: a b b --(3)-> b c a b c a (#116)
OC+OC at 3
OC: a b --(1)-> b c a a (#2)
Rule
OC: a b --(2)-> b c a (#9)
OC+OC at 2
OC: a b --(1)-> b c a a (#2)
Rule
OC: a --(1)-> (#1)
Rule
OC: a --(1)-> (#1)
Rule
OC: b --(1)-> a (#3)
Rule
OC: a b --(4)-> c a (#16)
OC+OC at 0
OC: a b --(2)-> b c a (#9)
OC+OC at 2
OC: a b --(1)-> b c a a (#2)
Rule
OC: a --(1)-> (#1)
Rule
OC: b --(2)-> (#5)
OC+OC at 0
OC: b --(1)-> a (#3)
Rule
OC: a --(1)-> (#1)
Rule
OC: c c --(1)-> b (#4)
Rule
OC: a b --(1)-> b c a a (#2)
Rule
OC: c c --(1)-> b (#4)
Rule
Hence, the SRS is non-terminating.