======================================================== The given Problem was: a -> a b -> b a a c b b -> a c c -> ======================================================== A self-embedding rewrite structure for the given SRS is: a b c b --(7)-> b a b c b (#455) OC+OC at 3 OC: a b c b --(6)-> b a b a c b (#314) OC+OC at 2 OC: a b c --(4)-> b a a (#53) OC+OC at 3 OC: a b --(3)-> b a a c (#13) OC+OC at 4 OC: a b --(1)-> b a a c b (#2) Rule OC: b --(2)-> (#5) OC+OC at 0 OC: b --(1)-> a (#3) Rule OC: a --(1)-> (#1) Rule OC: c c --(1)-> (#4) Rule OC: a b --(2)-> b a c b (#6) OC+OC at 1 OC: a b --(1)-> b a a c b (#2) Rule OC: a --(1)-> (#1) Rule OC: a --(1)-> (#1) Rule Hence, the SRS is non-terminating.