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The given Problem was:
a -> 
a a a -> b 
b c -> c a c b 
c -> 
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A self-embedding rewrite structure for the given SRS is:
   b c c c c c --(13)-> b c c c c c b (#12478)
   OC+OC at 5
      OC: b c c c c c --(12)-> b c c c c a c b (#11712)
          OC+OC at 2
             OC: b c c c --(9)-> b c b (#1246)
                 OC+OC at 0
                    OC: b c c c --(8)-> a a a c b (#468)
                        OC+OC at 2
                           OC: b c c c --(7)-> a a c a c b (#339)
                               OC+OC at 3
                                  OC: b c c --(5)-> a a c b (#61)
                                      OC+OC at 0
                                         OC: b c c --(4)-> c a a c b (#22)
                                             OC+OC at 2
                                                OC: b c --(2)-> c a b (#7)
                                                    OC+OC at 2
                                                       OC: b c --(1)-> c a c b (#3)
                                                           Rule
                                                       OC: c --(1)->  (#4)
                                                           Rule
                                                OC: b c --(2)-> a c b (#6)
                                                    OC+OC at 0
                                                       OC: b c --(1)-> c a c b (#3)
                                                           Rule
                                                       OC: c --(1)->  (#4)
                                                           Rule
                                         OC: c --(1)->  (#4)
                                             Rule
                                  OC: b c --(2)-> a c b (#6)
                                      OC+OC at 0
                                         OC: b c --(1)-> c a c b (#3)
                                             Rule
                                         OC: c --(1)->  (#4)
                                             Rule
                           OC: c --(1)->  (#4)
                               Rule
                    OC: a a a --(1)-> b (#2)
                        Rule
             OC: b c c --(3)-> c c c a c b (#35)
                 OC+OC at 2
                    OC: b c --(2)-> c c b (#5)
                        OC+OC at 1
                           OC: b c --(1)-> c a c b (#3)
                               Rule
                           OC: a --(1)->  (#1)
                               Rule
                    OC: b c --(1)-> c a c b (#3)
                        Rule
      OC: a --(1)->  (#1)
          Rule
Hence, the SRS is non-terminating.