======================================================== The given Problem was: b a b a a b -> b b a b a b b a b b -> b b a a b a b ======================================================== A self-embedding rewrite structure for the given SRS is: b a b a a b b b a a b b --(10)-> b b b a a b b a b b a a b a b a a b b b a a b b a b a b a b (#25372) OC+OC at 17 OC: b a b a a b b b --(6)-> b b b a a b b a b b a a b a b a a b a b (#463) OC+OC at 8 OC: b a b a a b b b --(5)-> b b b a a b b a b a b b a a b a b (#89) OC+OC at 10 OC: b a b a a b b --(4)-> b b b a a b b a b a b a b (#86) OC+OC at 5 OC: b a b a a b b --(3)-> b b b a a b a b a a b a b (#25) OC+OC at 1 OC: b a b a a b b --(2)-> b b a b b a a b a b (#7) OC+OC at 3 OC: b a b a a b --(1)-> b b a b a b (#1) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b a a b --(1)-> b b a b a b (#1) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b a a b b --(4)-> b b b a a b b a b a b a b (#86) OC+OC at 5 OC: b a b a a b b --(3)-> b b b a a b a b a a b a b (#25) OC+OC at 1 OC: b a b a a b b --(2)-> b b a b b a a b a b (#7) OC+OC at 3 OC: b a b a a b --(1)-> b b a b a b (#1) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b b --(1)-> b b a a b a b (#2) Rule OC: b a b a a b --(1)-> b b a b a b (#1) Rule Hence, the SRS is non-terminating.