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The given Problem was:
a -> 
a b -> b b a c a 
b -> 
c a c -> 
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A self-embedding rewrite structure for the given SRS is:
   a b b b c b b --(13)-> b a b b b c b b a c (#262212)
   OC+OC at 5
      OC: a b b b c b b --(12)-> b a b b b a c b b a c (#140084)
          OC+OC at 2
             OC: a b b --(6)-> b a a (#244)
                 OC+OC at 2
                    OC: a b b --(5)-> b a c a c a (#161)
                        OC+OC at 3
                           OC: a b b --(4)-> b a c b a c a (#17)
                               OC+OC at 3
                                  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 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: b --(1)->  (#3)
                               Rule
                    OC: c a c --(1)->  (#4)
                        Rule
             OC: a b c b b --(6)-> b b b a c b b a c (#804)
                 OC+OC at 1
                    OC: a b c --(3)-> b a (#10)
                        OC+OC at 2
                           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: c a c --(1)->  (#4)
                               Rule
                    OC: a b b --(3)-> b b a c b b a c (#44)
                        OC+OC at 4
                           OC: a b --(1)-> b b a c a (#2)
                               Rule
                           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: a --(1)->  (#1)
          Rule
Hence, the SRS is non-terminating.