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The given Problem was:
a -> 
a b -> b b a c a 
b -> 
c b c -> 
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A self-embedding rewrite structure for the given SRS is:
   a b b b b c b b --(11)-> b b a b b b b c b b a c a (#250775)
   OC+OC at 7
      OC: a b b b b c b b --(10)-> b b a b b b b a c b b a c a (#112243)
          OC+OC at 3
             OC: a b b --(5)-> b b a a (#121)
                 OC+OC at 3
                    OC: a b b --(4)-> b b a c b c a (#32)
                        OC+OC at 5
                           OC: a b b --(3)-> b b a c b a c a (#22)
                               OC+OC at 4
                                  OC: a b --(1)-> b b a c a (#2)
                                      Rule
                                  OC: a b --(2)-> b a c a (#7)
                                      OC+OC at 0
                                         OC: a b --(1)-> b b a c a (#2)
                                             Rule
                                         OC: b --(1)->  (#3)
                                             Rule
                           OC: a --(1)->  (#1)
                               Rule
                    OC: c b c --(1)->  (#4)
                        Rule
             OC: a b b c b b --(5)-> b b b b a c b b a c a (#1664)
                 OC+OC at 2
                    OC: a b b c --(3)-> b b a (#9)
                        OC+OC at 3
                           OC: a b --(2)-> b b a c (#6)
                               OC+OC at 4
                                  OC: a b --(1)-> b b a c a (#2)
                                      Rule
                                  OC: a --(1)->  (#1)
                                      Rule
                           OC: c b c --(1)->  (#4)
                               Rule
                    OC: a b b --(2)-> b b a c b b a c a (#24)
                        OC+OC at 4
                           OC: a b --(1)-> b b a c a (#2)
                               Rule
                           OC: a b --(1)-> b b a c a (#2)
                               Rule
      OC: a --(1)->  (#1)
          Rule
Hence, the SRS is non-terminating.