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The given Problem was:
a -> 
a a a -> b 
b c -> a c c b 
c -> 
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A self-embedding rewrite structure for the given SRS is:
   b c c c c --(10)-> b c c c c b (#1427)
   OC+OC at 3
      OC: b c c c c --(9)-> b c c a c c b (#1391)
          OC+OC at 3
             OC: b c c c --(8)-> b c c b (#906)
                 OC+OC at 0
                    OC: b c c c --(7)-> a a a c c b (#335)
                        OC+OC at 2
                           OC: b c c c --(6)-> a a c a c c b (#241)
                               OC+OC at 3
                                  OC: b c c --(5)-> a a c b (#63)
                                      OC+OC at 1
                                         OC: b c c --(4)-> a c a c b (#18)
                                             OC+OC at 2
                                                OC: b c --(2)-> a c b (#6)
                                                    OC+OC at 1
                                                       OC: b c --(1)-> a c c b (#3)
                                                           Rule
                                                       OC: c --(1)->  (#4)
                                                           Rule
                                                OC: b c --(2)-> a c b (#6)
                                                    OC+OC at 1
                                                       OC: b c --(1)-> a c c b (#3)
                                                           Rule
                                                       OC: c --(1)->  (#4)
                                                           Rule
                                         OC: c --(1)->  (#4)
                                             Rule
                                  OC: b c --(1)-> a c c b (#3)
                                      Rule
                           OC: c --(1)->  (#4)
                               Rule
                    OC: a a a --(1)-> b (#2)
                        Rule
             OC: b c --(1)-> a c c b (#3)
                 Rule
      OC: a --(1)->  (#1)
          Rule
Hence, the SRS is non-terminating.