1026.09/261.92 YES 1026.55/262.11 1026.55/262.11 1026.55/262.11 The system was filtered by the following matrix interpretation 1026.55/262.11 of type E_J with J = {1,...,2} and dimension 23: 1026.55/262.11 1026.55/262.11 5 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 4 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 2 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 0 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 3 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1026.55/262.11 Remains to prove termination of the 59-rule system 1026.55/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.55/262.11 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 1026.55/262.11 4 4 1 3 -> 5 1 1 4 5 5 3 3 2 3 , 1026.55/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.55/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.55/262.11 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 1026.55/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.55/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.55/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.55/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.55/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.55/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.55/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.55/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.55/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.55/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.55/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.55/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.55/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.55/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.55/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.55/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.55/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.55/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.55/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.55/262.11 2 0 4 0 4 3 0 -> 3 1 3 3 4 5 2 3 0 3 , 1026.55/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.55/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.55/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.55/262.11 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 1026.55/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.55/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.55/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.55/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.55/262.11 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 1026.55/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.55/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.55/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.55/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.55/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.55/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.55/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.55/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.55/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.55/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.55/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.55/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.55/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.55/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.55/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.55/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.55/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.55/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.55/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.55/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.55/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.55/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.55/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.55/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.55/262.11 1026.55/262.11 1026.55/262.11 The system was filtered by the following matrix interpretation 1026.55/262.11 of type E_J with J = {1,...,2} and dimension 16: 1026.55/262.11 1026.55/262.11 5 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 4 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 2 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 0 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 3 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1026.55/262.11 Remains to prove termination of the 58-rule system 1026.55/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.55/262.11 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 1026.55/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.55/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.55/262.11 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 1026.55/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.55/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.55/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.55/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.55/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.55/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.55/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.55/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.55/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.55/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.55/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.55/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.55/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.55/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.55/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.55/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.55/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.55/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.55/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.55/262.11 2 0 4 0 4 3 0 -> 3 1 3 3 4 5 2 3 0 3 , 1026.55/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.55/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.55/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.55/262.11 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 1026.55/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.55/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.55/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.55/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.55/262.11 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 1026.55/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.55/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.55/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.55/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.55/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.55/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.55/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.55/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.55/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.55/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.55/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.55/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.55/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.55/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.55/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.55/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.55/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.55/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.55/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.55/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.55/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.55/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.55/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.55/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.55/262.11 1026.55/262.11 1026.55/262.11 The system was filtered by the following matrix interpretation 1026.55/262.11 of type E_J with J = {1,...,2} and dimension 20: 1026.55/262.11 1026.55/262.11 5 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 4 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 2 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 0 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 3 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.55/262.11 1026.55/262.11 Remains to prove termination of the 57-rule system 1026.55/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.55/262.11 4 1 1 3 -> 4 4 5 1 4 0 2 0 3 3 , 1026.55/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.55/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.55/262.11 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 1026.55/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.55/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.55/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.55/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.55/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.55/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.55/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.55/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.55/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.55/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.55/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.55/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.55/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.55/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.55/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.55/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.55/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.55/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.55/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.55/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.55/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.55/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.55/262.11 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 1026.55/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.55/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.55/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.55/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.55/262.11 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 1026.55/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.55/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.55/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.55/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.55/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.55/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.55/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.55/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.55/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.55/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.55/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.55/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.55/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.55/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.55/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.55/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.55/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.55/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.55/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.55/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.55/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.55/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.55/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.55/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.55/262.11 1026.55/262.11 1026.55/262.11 The system was filtered by the following matrix interpretation 1026.55/262.11 of type E_J with J = {1,...,2} and dimension 16: 1026.55/262.11 1026.55/262.11 5 is interpreted by 1026.55/262.11 / \ 1026.55/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.55/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 56-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 2 4 3 4 0 -> 2 5 2 2 5 5 0 3 2 3 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 10: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 55-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 4 4 1 4 1 1 -> 4 2 0 3 2 1 3 0 0 1 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 4 3 4 1 4 4 3 -> 1 4 3 3 3 1 3 1 2 2 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 1 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 1 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 53-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 2 0 1 2 1 -> 5 2 4 2 4 4 2 5 1 3 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 1 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 52-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 4 3 1 2 1 ->= 2 5 2 3 4 4 2 0 2 1 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 1 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 51-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 5 4 1 2 0 4 1 -> 4 5 4 2 2 3 4 5 5 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 50-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 2 5 5 3 2 4 ->= 5 2 4 4 5 4 4 1 5 4 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 13: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 49-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 3 5 4 3 5 -> 1 3 3 1 1 5 1 0 1 5 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 16: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 48-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 0 4 3 0 1 -> 0 3 1 2 5 1 1 1 2 1 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 13: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 \ / 1026.80/262.11 2 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 0 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 3 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 1026.80/262.11 Remains to prove termination of the 47-rule system 1026.80/262.11 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.11 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.11 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.11 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.11 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.11 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.11 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.11 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.11 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.11 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.11 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.11 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.11 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.11 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.11 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.11 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.11 1 3 1 0 4 1 0 -> 1 3 3 3 3 0 0 3 1 0 , 1026.80/262.11 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.11 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.11 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.11 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.11 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.11 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.11 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.11 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.11 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.11 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.11 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.11 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.11 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.11 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.11 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.11 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.11 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.11 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.11 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.11 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.11 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.11 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.11 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.11 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.11 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.11 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.11 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.11 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.11 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.11 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.11 1026.80/262.11 1026.80/262.11 The system was filtered by the following matrix interpretation 1026.80/262.11 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.11 1026.80/262.11 5 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 \ / 1026.80/262.11 4 is interpreted by 1026.80/262.11 / \ 1026.80/262.11 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.11 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 46-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.12 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 1 4 2 1 0 ->= 1 0 3 1 5 5 3 4 3 3 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 11: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 45-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.12 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 1 5 2 0 1 5 -> 2 5 4 2 3 3 0 0 0 5 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 44-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.12 0 5 1 1 3 4 1 -> 0 2 2 0 2 3 1 5 5 3 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 43-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 4 4 2 3 4 -> 2 2 4 5 3 3 1 1 1 4 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 0 1 4 1 4 4 3 -> 0 1 0 1 1 2 0 5 2 3 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 11: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 41-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 0 2 0 5 2 1 -> 0 4 3 5 2 3 5 5 2 1 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 10: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 1 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 40-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 0 0 0 2 0 1 -> 3 3 5 3 1 3 1 4 0 1 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 9: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 1 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 1 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 39-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 1 4 1 0 1 2 -> 1 0 3 1 5 3 3 4 5 2 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 1 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 38-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 2 1 2 5 ->= 1 4 5 5 2 4 5 1 4 5 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 37-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 1 3 5 4 4 1 2 -> 2 0 5 0 2 3 2 2 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 36-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 2 0 5 0 ->= 4 1 4 2 5 5 2 1 1 3 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 35-rule system 1026.80/262.12 { 5 4 1 -> 2 5 5 1 1 1 0 2 3 4 , 1026.80/262.12 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 , 1026.80/262.12 5 5 4 1 2 5 5 ->= 5 5 2 1 3 1 4 4 4 5 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 4: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 33-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 1 0 0 0 -> 5 2 3 5 4 5 5 1 3 0 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 4 1 5 0 -> 2 3 1 0 5 4 3 0 3 3 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 4 1 2 ->= 4 2 4 4 4 5 2 1 5 5 , 1026.80/262.12 0 4 1 2 ->= 5 4 0 5 2 5 2 1 1 0 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 4: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 1 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 29-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 1 3 4 2 5 ->= 4 3 3 2 5 5 2 3 2 5 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 28-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 2 0 1 5 1 4 2 -> 2 2 5 5 2 1 2 4 0 5 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 27-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 5 5 3 4 3 ->= 0 0 3 2 2 3 2 3 0 3 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 16: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 26-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 5 5 4 3 2 4 -> 5 4 2 2 5 2 1 2 3 4 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 1 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 25-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 3 5 5 5 3 1 5 ->= 3 3 3 0 5 0 3 3 1 5 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 14: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 2 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 0 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 3 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 1026.80/262.12 Remains to prove termination of the 24-rule system 1026.80/262.12 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.12 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.12 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.12 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.12 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.12 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.12 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.12 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.12 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.12 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.12 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.12 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.12 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.12 5 0 4 2 5 5 0 -> 0 3 3 1 2 3 0 0 2 3 , 1026.80/262.12 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.12 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.12 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.12 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.12 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.12 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.12 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.12 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.12 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.12 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.12 1026.80/262.12 1026.80/262.12 The system was filtered by the following matrix interpretation 1026.80/262.12 of type E_J with J = {1,...,2} and dimension 10: 1026.80/262.12 1026.80/262.12 5 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 1 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 \ / 1026.80/262.12 4 is interpreted by 1026.80/262.12 / \ 1026.80/262.12 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.12 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 23-rule system 1026.80/262.13 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.13 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 2 4 3 5 5 -> 3 5 5 5 1 4 4 5 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.13 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 17: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 22-rule system 1026.80/262.13 { 0 0 4 1 4 -> 3 3 1 1 0 3 1 4 2 4 , 1026.80/262.13 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.13 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 1 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 1 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 1 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 21-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 5 2 4 3 0 -> 2 5 5 2 3 2 5 4 0 0 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.13 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 2 4 3 ->= 2 4 5 2 3 3 2 0 2 3 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 4: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 19-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.13 4 3 0 1 2 4 2 -> 4 3 3 1 1 0 3 2 2 5 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 18-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 3 5 0 5 5 5 3 -> 3 3 5 4 0 1 4 5 3 0 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 17-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 0 4 3 0 3 4 -> 3 5 3 1 0 3 2 3 0 4 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 16-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 3 4 0 4 4 2 3 -> 3 2 4 4 5 1 1 4 5 0 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 15-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 1 2 0 1 3 2 -> 2 0 3 2 1 2 3 1 0 3 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 12: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 0 0 1 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 14-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 5 0 4 2 0 4 2 -> 5 2 2 0 1 5 5 2 4 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 13-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 3 4 2 1 0 2 ->= 3 3 2 5 3 1 5 1 2 2 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 12-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 3 4 2 1 2 -> 0 1 2 0 3 1 2 5 2 2 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 8: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 11-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 1 5 0 0 1 2 ->= 2 4 4 5 1 0 3 3 4 3 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 10-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 4 3 2 0 5 -> 2 3 3 5 3 3 1 3 3 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 9-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 3 5 5 5 0 2 -> 3 3 5 1 0 0 3 3 1 0 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 7: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 8-rule system 1026.80/262.13 { 0 5 0 4 2 -> 0 0 3 5 3 3 2 3 4 5 , 1026.80/262.13 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system was filtered by the following matrix interpretation 1026.80/262.13 of type E_J with J = {1,...,2} and dimension 6: 1026.80/262.13 1026.80/262.13 5 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 1 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 4 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 1 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 2 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 0 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 1 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 3 is interpreted by 1026.80/262.13 / \ 1026.80/262.13 | 1 0 1 0 0 0 | 1026.80/262.13 | 0 1 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 | 0 0 0 0 0 0 | 1026.80/262.13 \ / 1026.80/262.13 1026.80/262.13 Remains to prove termination of the 7-rule system 1026.80/262.13 { 0 1 ->= 0 2 3 3 3 3 1 2 3 1 , 1026.80/262.13 0 4 2 3 ->= 5 4 0 2 0 3 0 0 5 3 , 1026.80/262.13 0 5 0 2 ->= 0 5 4 2 5 1 2 3 2 2 , 1026.80/262.13 0 2 0 2 5 3 ->= 0 4 4 5 2 2 5 0 1 0 , 1026.80/262.13 5 3 2 0 4 2 ->= 3 3 3 3 2 1 5 3 1 5 , 1026.80/262.13 5 5 0 0 1 2 ->= 0 5 2 3 0 2 2 4 0 2 , 1026.80/262.13 5 3 5 0 0 1 2 ->= 0 0 5 4 5 5 2 1 0 2 } 1026.80/262.13 1026.80/262.13 1026.80/262.13 The system is trivially terminating. 1026.89/262.20 EOF