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The given Problem was:
a a b b -> b b b b b a a a a a
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A self-embedding rewrite structure for the given SRS is:
a a b b b b --(2)-> b b b b b a a a b b b b b a a a a a (#2)
OC+OC at 8
OC: a a b b --(1)-> b b b b b a a a a a (#1)
Rule
OC: a a b b --(1)-> b b b b b a a a a a (#1)
Rule
Hence, the SRS is non-terminating.