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The given Problem was:
0 0 0 0 -> 0 0 1 1 
1 0 0 1 -> 0 0 1 0 
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A self-embedding rewrite structure for the given SRS is:
   0 0 0 0 0 0 1 0 1 0 1 0 --(15)-> 0 0 0 0 0 0 1 0 1 0 1 0 (#25177)
   OC+OC at 4
      OC: 0 0 0 0 0 0 1 0 1 0 1 0 --(14)-> 0 0 0 0 1 0 0 1 1 0 1 0 (#18862)
          OC+OC at 5
             OC: 0 0 0 0 0 0 1 0 1 0 1 0 --(13)-> 0 0 0 0 1 0 0 0 0 0 1 0 (#13310)
                 OC+OC at 2
                    OC: 0 0 0 0 0 0 1 0 1 0 1 0 --(12)-> 0 0 1 0 0 1 0 0 0 0 1 0 (#1012)
                        OC+OC at 3
                           OC: 0 0 0 0 --(1)-> 0 0 1 1 (#1)
                               Rule
                           OC: 1 0 0 1 0 1 0 1 0 --(11)-> 0 0 1 0 0 0 0 1 0 (#935)
                               OC+OC at 5
                                  OC: 1 0 0 1 0 1 0 1 0 --(10)-> 0 0 1 0 0 1 0 0 1 (#712)
                                      OC+OC at 3
                                         OC: 1 0 0 1 0 1 0 1 0 --(9)-> 0 0 1 1 0 0 1 0 1 (#504)
                                             OC+OC at 0
                                                OC: 1 0 0 1 0 1 0 1 0 --(8)-> 0 0 0 0 0 0 1 0 1 (#323)
                                                    OC+OC at 4
                                                       OC: 1 0 0 1 0 1 0 1 0 --(7)-> 0 0 0 0 1 0 0 1 1 (#128)
                                                           OC+OC at 5
                                                              OC: 1 0 0 1 0 1 0 1 --(6)-> 0 0 0 0 1 0 0 0 (#98)
                                                                  OC+OC at 2
                                                                     OC: 1 0 0 1 0 1 0 1 --(5)-> 0 0 1 0 0 1 0 0 (#67)
                                                                         OC+OC at 3
                                                                            OC: 1 0 0 1 0 1 0 1 --(4)-> 0 0 1 1 0 0 1 0 (#14)
                                                                                OC+OC at 4
                                                                                   OC: 1 0 0 1 0 1 --(3)-> 0 0 1 1 1 0 (#8)
                                                                                       OC+OC at 0
                                                                                          OC: 1 0 0 1 0 1 --(2)-> 0 0 0 0 1 0 (#5)
                                                                                              OC+OC at 2
                                                                                                 OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                                                                     Rule
                                                                                                 OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                                                                     Rule
                                                                                          OC: 0 0 0 0 --(1)-> 0 0 1 1 (#1)
                                                                                              Rule
                                                                                   OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                                                       Rule
                                                                            OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                                                Rule
                                                                     OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                                         Rule
                                                              OC: 0 0 0 0 --(1)-> 0 0 1 1 (#1)
                                                                  Rule
                                                       OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                                           Rule
                                                OC: 0 0 0 0 --(1)-> 0 0 1 1 (#1)
                                                    Rule
                                         OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                             Rule
                                  OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                                      Rule
                    OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
                        Rule
             OC: 0 0 0 0 --(1)-> 0 0 1 1 (#1)
                 Rule
      OC: 1 0 0 1 --(1)-> 0 0 1 0 (#2)
          Rule
Hence, the SRS is non-terminating.