38.72/10.18 YES 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 1 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 1 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 85-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 3 4 2 -> 2 3 1 4 4 0 , 39.06/10.28 0 1 3 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 3 4 2 -> 3 2 1 0 4 0 , 39.06/10.28 0 1 3 4 2 -> 4 0 3 3 1 2 , 39.06/10.28 0 1 3 4 2 -> 4 1 4 0 3 2 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 0 2 3 1 0 5 , 39.06/10.28 0 1 5 0 2 -> 3 0 5 1 0 2 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 1 5 4 2 -> 0 4 4 1 2 5 , 39.06/10.28 0 1 5 4 2 -> 1 0 4 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 2 0 4 4 5 1 , 39.06/10.28 0 1 5 4 2 -> 4 0 2 3 1 5 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 2 5 2 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 5 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 2 1 3 0 5 , 39.06/10.28 0 1 5 4 2 -> 4 3 1 0 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 4 0 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 4 4 2 1 0 5 , 39.06/10.28 0 1 5 4 2 -> 5 0 4 5 2 1 , 39.06/10.28 0 1 5 4 2 -> 5 1 2 0 4 3 , 39.06/10.28 0 1 5 4 2 -> 5 3 1 0 4 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 3 0 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 4 0 2 2 , 39.06/10.28 5 0 2 4 2 -> 5 4 0 3 2 2 , 39.06/10.28 5 1 5 0 2 -> 5 2 1 4 5 0 , 39.06/10.28 5 1 5 4 2 -> 5 2 1 0 4 5 , 39.06/10.28 5 4 2 0 2 -> 3 0 5 2 2 4 , 39.06/10.28 5 4 2 0 2 -> 4 0 5 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 5 2 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 3 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 4 2 2 4 0 , 39.06/10.28 5 4 2 4 2 -> 0 4 4 5 2 2 , 39.06/10.28 5 4 2 4 2 -> 5 4 4 3 2 2 , 39.06/10.28 5 4 5 4 2 -> 4 5 0 4 5 2 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 10: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 1 1 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 1 0 0 1 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 1 0 1 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 0 0 0 0 | 39.06/10.28 | 0 0 1 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 82-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 3 4 2 -> 2 3 1 4 4 0 , 39.06/10.28 0 1 3 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 3 4 2 -> 3 2 1 0 4 0 , 39.06/10.28 0 1 3 4 2 -> 4 0 3 3 1 2 , 39.06/10.28 0 1 3 4 2 -> 4 1 4 0 3 2 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 0 2 3 1 0 5 , 39.06/10.28 0 1 5 0 2 -> 3 0 5 1 0 2 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 1 5 4 2 -> 0 4 4 1 2 5 , 39.06/10.28 0 1 5 4 2 -> 1 0 4 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 2 0 4 4 5 1 , 39.06/10.28 0 1 5 4 2 -> 4 0 2 3 1 5 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 2 5 2 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 5 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 2 1 3 0 5 , 39.06/10.28 0 1 5 4 2 -> 4 3 1 0 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 4 0 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 4 4 2 1 0 5 , 39.06/10.28 0 1 5 4 2 -> 5 0 4 5 2 1 , 39.06/10.28 0 1 5 4 2 -> 5 1 2 0 4 3 , 39.06/10.28 0 1 5 4 2 -> 5 3 1 0 4 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 3 0 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 4 0 2 2 , 39.06/10.28 5 1 5 0 2 -> 5 2 1 4 5 0 , 39.06/10.28 5 1 5 4 2 -> 5 2 1 0 4 5 , 39.06/10.28 5 4 2 0 2 -> 3 0 5 2 2 4 , 39.06/10.28 5 4 2 0 2 -> 4 0 5 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 5 2 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 3 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 4 2 2 4 0 , 39.06/10.28 5 4 5 4 2 -> 4 5 0 4 5 2 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 1 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 81-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 3 4 2 -> 2 3 1 4 4 0 , 39.06/10.28 0 1 3 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 3 4 2 -> 3 2 1 0 4 0 , 39.06/10.28 0 1 3 4 2 -> 4 0 3 3 1 2 , 39.06/10.28 0 1 3 4 2 -> 4 1 4 0 3 2 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 0 2 3 1 0 5 , 39.06/10.28 0 1 5 0 2 -> 3 0 5 1 0 2 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 1 5 4 2 -> 0 4 4 1 2 5 , 39.06/10.28 0 1 5 4 2 -> 1 0 4 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 2 0 4 4 5 1 , 39.06/10.28 0 1 5 4 2 -> 4 0 2 3 1 5 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 2 5 2 , 39.06/10.28 0 1 5 4 2 -> 4 1 0 5 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 2 1 3 0 5 , 39.06/10.28 0 1 5 4 2 -> 4 3 1 0 2 5 , 39.06/10.28 0 1 5 4 2 -> 4 4 0 5 1 2 , 39.06/10.28 0 1 5 4 2 -> 4 4 2 1 0 5 , 39.06/10.28 0 1 5 4 2 -> 5 0 4 5 2 1 , 39.06/10.28 0 1 5 4 2 -> 5 1 2 0 4 3 , 39.06/10.28 0 1 5 4 2 -> 5 3 1 0 4 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 3 0 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 4 0 2 2 , 39.06/10.28 5 1 5 0 2 -> 5 2 1 4 5 0 , 39.06/10.28 5 1 5 4 2 -> 5 2 1 0 4 5 , 39.06/10.28 5 4 2 0 2 -> 3 0 5 2 2 4 , 39.06/10.28 5 4 2 0 2 -> 4 0 5 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 5 2 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 3 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 4 2 2 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 1 0 0 2 | 39.06/10.28 | 0 1 1 0 1 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 2 0 0 1 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 1 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 1 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 59-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 3 0 2 2 , 39.06/10.28 5 0 2 0 2 -> 5 0 4 0 2 2 , 39.06/10.28 5 4 2 0 2 -> 3 0 5 2 2 4 , 39.06/10.28 5 4 2 0 2 -> 4 0 5 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 5 2 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 3 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 4 2 2 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 57-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 3 0 5 2 2 4 , 39.06/10.28 5 4 2 0 2 -> 4 0 5 3 2 2 , 39.06/10.28 5 4 2 0 2 -> 5 2 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 3 2 2 4 0 , 39.06/10.28 5 4 2 0 2 -> 5 4 2 2 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 52-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 0 3 1 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 2 0 3 1 4 4 , 39.06/10.28 0 1 4 2 -> 2 3 1 4 0 4 , 39.06/10.28 0 1 4 2 -> 2 4 3 0 4 1 , 39.06/10.28 0 1 4 2 -> 2 4 3 1 0 3 , 39.06/10.28 0 1 4 2 -> 3 2 1 0 4 1 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 0 4 , 39.06/10.28 0 1 4 2 -> 3 2 3 1 4 0 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 3 2 , 39.06/10.28 0 1 4 2 -> 4 0 3 1 4 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 4 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 0 5 3 2 , 39.06/10.28 0 1 4 2 -> 4 1 1 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 1 3 0 5 2 , 39.06/10.28 0 1 4 2 -> 4 3 0 3 1 2 , 39.06/10.28 0 1 4 2 -> 4 4 0 3 1 2 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 0 1 4 2 -> 0 0 3 1 2 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 3 1 0 4 , 39.06/10.28 0 0 1 4 2 -> 0 2 4 0 3 1 , 39.06/10.28 0 0 1 4 2 -> 0 3 1 0 2 4 , 39.06/10.28 0 0 1 4 2 -> 1 0 3 4 0 2 , 39.06/10.28 0 0 1 4 2 -> 2 0 0 3 1 4 , 39.06/10.28 0 0 1 4 2 -> 2 1 0 4 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 4 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 0 4 4 1 2 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 2 1 4 2 -> 4 1 0 3 2 2 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 5: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 18-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 0 3 1 0 4 , 39.06/10.28 0 1 0 2 -> 2 2 0 3 1 0 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 3 0 , 39.06/10.28 0 1 0 2 -> 4 1 0 3 0 2 , 39.06/10.28 0 1 0 2 -> 4 1 0 4 0 2 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 0 1 0 2 -> 1 0 4 0 0 2 , 39.06/10.28 0 0 1 0 2 -> 2 1 0 3 0 0 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 5: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 1 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 10-rule system 39.06/10.28 { 0 1 0 2 -> 2 0 0 3 1 2 , 39.06/10.28 0 1 0 2 -> 2 3 1 0 0 2 , 39.06/10.28 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 0 1 0 2 -> 1 0 0 2 0 4 , 39.06/10.28 0 1 2 0 2 -> 2 0 1 0 4 2 , 39.06/10.28 0 1 2 4 2 -> 2 3 1 0 2 4 , 39.06/10.28 0 1 2 4 2 -> 4 1 0 2 2 4 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 5: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 | 39.06/10.28 | 0 0 1 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 1 1 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 4-rule system 39.06/10.28 { 0 1 4 2 -> 3 2 1 4 0 , 39.06/10.28 0 1 4 2 -> 3 2 2 1 4 0 , 39.06/10.28 0 1 5 0 2 -> 5 1 3 0 0 2 , 39.06/10.28 0 2 1 4 2 -> 3 2 2 1 4 0 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 5: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 1-rule system 39.06/10.28 { 0 1 5 0 2 -> 5 1 3 0 0 2 } 39.06/10.28 39.06/10.28 39.06/10.28 The system was filtered by the following matrix interpretation 39.06/10.28 of type E_J with J = {1,...,2} and dimension 6: 39.06/10.28 39.06/10.28 0 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 1 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 1 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 1 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 1 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 2 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 3 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 4 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 5 is interpreted by 39.06/10.28 / \ 39.06/10.28 | 1 0 0 0 0 0 | 39.06/10.28 | 0 1 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 1 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 | 0 0 0 0 0 0 | 39.06/10.28 \ / 39.06/10.28 39.06/10.28 Remains to prove termination of the 0-rule system 39.06/10.28 { } 39.06/10.28 39.06/10.28 39.06/10.28 The system is trivially terminating. 39.43/10.40 EOF