32.85/8.69 YES 34.16/9.10 34.16/9.10 34.16/9.10 34.16/9.10 34.16/9.10 The system was filtered by the following matrix interpretation 34.16/9.10 of type E_J with J = {1,...,2} and dimension 2: 34.16/9.10 34.16/9.10 0 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 1 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 2 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 3 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 4 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 5 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 2 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 34.16/9.10 Remains to prove termination of the 50-rule system 34.16/9.10 { 0 1 1 2 0 3 -> 0 1 2 1 0 3 , 34.16/9.10 4 3 1 2 1 4 2 -> 4 3 1 1 2 4 2 , 34.16/9.10 2 2 0 0 1 2 3 4 -> 2 2 0 1 3 0 2 4 , 34.16/9.10 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.10 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.10 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.10 0 1 0 3 2 3 4 0 4 3 -> 0 4 1 0 4 5 0 3 0 5 , 34.16/9.10 2 2 2 4 1 3 3 2 3 3 -> 0 2 3 4 1 3 5 5 1 2 , 34.16/9.10 2 3 2 2 0 3 5 2 2 2 -> 1 2 4 1 1 5 3 3 1 2 , 34.16/9.10 3 3 3 3 3 2 3 4 3 4 -> 1 1 2 4 3 4 3 0 4 5 , 34.16/9.10 3 5 5 2 5 1 3 0 3 5 -> 3 2 4 5 1 0 4 5 0 0 , 34.16/9.10 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.10 5 2 1 5 3 1 0 1 3 4 -> 4 4 4 4 0 4 0 2 2 2 , 34.16/9.10 5 2 1 5 5 3 2 3 3 3 -> 1 1 1 2 3 5 1 5 0 4 , 34.16/9.10 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.10 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.10 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.10 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.10 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.10 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.10 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.10 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.10 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.10 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.10 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.10 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.10 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.10 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.10 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.10 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.10 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.10 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.10 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.10 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.10 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.10 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.10 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.10 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.10 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.10 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.10 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.10 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.10 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.10 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.10 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.10 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.10 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.10 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.10 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.10 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.10 34.16/9.10 34.16/9.10 The system was filtered by the following matrix interpretation 34.16/9.10 of type E_J with J = {1,...,2} and dimension 2: 34.16/9.10 34.16/9.10 0 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 1 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 2 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 3 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 1 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 4 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 5 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 34.16/9.10 Remains to prove termination of the 44-rule system 34.16/9.10 { 0 1 1 2 0 3 -> 0 1 2 1 0 3 , 34.16/9.10 4 3 1 2 1 4 2 -> 4 3 1 1 2 4 2 , 34.16/9.10 2 2 0 0 1 2 3 4 -> 2 2 0 1 3 0 2 4 , 34.16/9.10 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.10 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.10 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.10 2 3 2 2 0 3 5 2 2 2 -> 1 2 4 1 1 5 3 3 1 2 , 34.16/9.10 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.10 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.10 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.10 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.10 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.10 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.10 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.10 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.10 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.10 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.10 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.10 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.10 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.10 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.10 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.10 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.10 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.10 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.10 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.10 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.10 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.10 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.10 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.10 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.10 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.10 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.10 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.10 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.10 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.10 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.10 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.10 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.10 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.10 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.10 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.10 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.10 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.10 34.16/9.10 34.16/9.10 The system was filtered by the following matrix interpretation 34.16/9.10 of type E_J with J = {1,...,2} and dimension 2: 34.16/9.10 34.16/9.10 0 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 1 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 1 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 2 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 3 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 4 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 5 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 | 34.16/9.10 | 0 1 | 34.16/9.10 \ / 34.16/9.10 34.16/9.10 Remains to prove termination of the 43-rule system 34.16/9.10 { 0 1 1 2 0 3 -> 0 1 2 1 0 3 , 34.16/9.10 4 3 1 2 1 4 2 -> 4 3 1 1 2 4 2 , 34.16/9.10 2 2 0 0 1 2 3 4 -> 2 2 0 1 3 0 2 4 , 34.16/9.10 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.10 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.10 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.10 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.10 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.10 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.10 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.10 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.10 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.10 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.10 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.10 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.10 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.10 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.10 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.10 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.10 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.10 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.10 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.10 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.10 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.10 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.10 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.10 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.10 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.10 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.10 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.10 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.10 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.10 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.10 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.10 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.10 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.10 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.10 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.10 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.10 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.10 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.10 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.10 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.10 34.16/9.10 34.16/9.10 The system was filtered by the following matrix interpretation 34.16/9.10 of type E_J with J = {1,...,2} and dimension 7: 34.16/9.10 34.16/9.10 0 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 1 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 1 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 \ / 34.16/9.10 1 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 1 0 0 0 | 34.16/9.10 | 0 0 0 0 1 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 \ / 34.16/9.10 2 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 1 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 \ / 34.16/9.10 3 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 \ / 34.16/9.10 4 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 \ / 34.16/9.10 5 is interpreted by 34.16/9.10 / \ 34.16/9.10 | 1 0 0 0 0 0 0 | 34.16/9.10 | 0 1 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.10 | 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 42-rule system 34.16/9.11 { 4 3 1 2 1 4 2 -> 4 3 1 1 2 4 2 , 34.16/9.11 2 2 0 0 1 2 3 4 -> 2 2 0 1 3 0 2 4 , 34.16/9.11 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.11 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.11 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.11 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 8: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 41-rule system 34.16/9.11 { 2 2 0 0 1 2 3 4 -> 2 2 0 1 3 0 2 4 , 34.16/9.11 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.11 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.11 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.11 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 9: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 40-rule system 34.16/9.11 { 0 5 5 2 3 5 0 3 1 -> 0 5 2 5 3 5 0 3 1 , 34.16/9.11 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.11 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.11 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 10: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 39-rule system 34.16/9.11 { 3 5 2 1 1 0 0 1 2 -> 3 5 1 0 2 1 0 1 2 , 34.16/9.11 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.11 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 10: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 38-rule system 34.16/9.11 { 5 2 5 3 4 1 2 4 4 -> 5 2 5 3 1 2 4 4 4 , 34.16/9.11 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 10: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 37-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 2 2 0 0 3 0 3 1 4 5 1 1 1 -> 2 2 0 0 3 3 1 0 5 4 1 1 1 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 14: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 36-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 2 3 4 2 4 5 1 4 0 0 2 4 -> 5 2 3 2 4 4 5 1 4 0 0 2 4 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 14: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 35-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 2 3 2 0 0 2 2 5 5 0 3 2 3 3 1 -> 2 3 0 0 2 2 2 5 5 0 2 3 3 3 1 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 16: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 34-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 3 5 3 3 5 4 0 0 0 3 2 3 2 2 2 -> 5 3 5 3 3 0 0 4 3 0 3 2 2 2 2 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 16: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 33-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 5 4 2 3 2 4 5 1 1 3 4 2 2 1 4 -> 5 4 2 3 2 4 5 1 3 1 4 2 2 1 4 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 16: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 32-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 1 4 5 1 5 2 1 5 2 4 4 0 0 1 1 2 -> 1 4 5 1 5 2 1 5 4 2 4 0 0 1 1 2 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 17: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 31-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 3 4 4 2 5 2 3 4 2 2 1 5 5 1 1 1 -> 3 4 4 5 3 2 2 2 4 2 1 1 5 5 1 1 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 17: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 30-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 3 5 3 1 0 1 1 5 1 3 1 3 5 2 2 4 -> 3 5 3 0 1 5 1 1 1 3 1 5 3 2 2 4 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 17: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 29-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 4 0 0 5 1 0 4 1 4 5 2 3 2 3 2 3 -> 4 0 5 0 5 1 0 4 4 2 1 3 2 3 2 3 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 17: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 1 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 2 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 3 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 4 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 5 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 \ / 34.16/9.11 34.16/9.11 Remains to prove termination of the 28-rule system 34.16/9.11 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.11 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.11 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.11 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.11 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.11 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.11 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.11 4 4 4 5 4 4 5 3 1 4 2 1 2 2 2 1 1 3 4 -> 4 4 4 5 4 5 4 3 1 4 2 1 2 2 2 1 1 3 4 , 34.16/9.11 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.11 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.11 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.11 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.11 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.11 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.11 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.11 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.11 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.11 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.11 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.11 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.11 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.11 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.11 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.11 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.11 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.11 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.11 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.11 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.11 34.16/9.11 34.16/9.11 The system was filtered by the following matrix interpretation 34.16/9.11 of type E_J with J = {1,...,2} and dimension 20: 34.16/9.11 34.16/9.11 0 is interpreted by 34.16/9.11 / \ 34.16/9.11 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.11 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 1 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 2 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 3 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 4 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 5 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 34.16/9.12 Remains to prove termination of the 27-rule system 34.16/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.12 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.12 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.12 0 5 2 1 1 4 0 3 2 2 4 2 4 5 1 4 2 4 1 2 -> 0 5 2 1 1 4 0 3 2 2 4 2 4 1 5 4 2 4 1 2 , 34.16/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.12 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.12 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.12 34.16/9.12 34.16/9.12 The system was filtered by the following matrix interpretation 34.16/9.12 of type E_J with J = {1,...,2} and dimension 21: 34.16/9.12 34.16/9.12 0 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 1 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 2 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 3 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 4 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 5 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 \ / 34.16/9.12 34.16/9.12 Remains to prove termination of the 26-rule system 34.16/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.16/9.12 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.16/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.16/9.12 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.16/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.16/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.16/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.16/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.16/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.16/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.16/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.16/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.16/9.12 0 4 5 1 2 5 2 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 -> 0 4 5 1 2 2 5 1 4 4 4 3 1 0 2 3 1 0 2 3 2 2 3 , 34.16/9.12 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.16/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.16/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.16/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.16/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.16/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.16/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.16/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.16/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.16/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.16/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.16/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.16/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.16/9.12 34.16/9.12 34.16/9.12 The system was filtered by the following matrix interpretation 34.16/9.12 of type E_J with J = {1,...,2} and dimension 24: 34.16/9.12 34.16/9.12 0 is interpreted by 34.16/9.12 / \ 34.16/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.16/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 25-rule system 34.42/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.42/9.12 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.42/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.42/9.12 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.42/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 1 4 3 3 5 5 3 5 0 2 0 3 0 1 4 2 2 0 4 2 0 4 1 -> 0 5 4 0 2 3 3 0 1 3 3 0 5 5 4 1 4 0 2 2 4 2 1 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 24: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 24-rule system 34.42/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.42/9.12 1 5 2 0 3 2 0 5 4 2 0 -> 1 5 2 0 2 3 0 5 4 2 0 , 34.42/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.42/9.12 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.42/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 12: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 23-rule system 34.42/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.42/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.42/9.12 4 1 4 0 0 5 5 2 2 0 3 4 0 -> 5 0 4 1 0 2 4 0 5 4 3 2 0 , 34.42/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 14: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 22-rule system 34.42/9.12 { 4 3 4 5 0 3 2 0 5 5 -> 4 3 4 0 5 2 3 0 5 5 , 34.42/9.12 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.42/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 11: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 21-rule system 34.42/9.12 { 1 5 3 5 5 2 0 1 1 4 1 5 -> 1 5 0 1 4 5 2 1 3 5 1 5 , 34.42/9.12 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 13: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 20-rule system 34.42/9.12 { 4 4 0 3 1 4 1 2 3 3 5 1 4 5 1 5 0 0 -> 4 4 0 3 1 4 2 1 3 3 5 1 4 5 1 0 5 0 , 34.42/9.12 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 19: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 19-rule system 34.42/9.12 { 0 1 2 4 2 0 0 2 2 4 5 5 4 1 2 4 0 5 0 -> 0 1 2 4 2 0 2 0 2 4 5 5 4 1 2 4 0 5 0 , 34.42/9.12 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 20: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 18-rule system 34.42/9.12 { 3 0 4 4 3 4 2 3 0 0 4 0 4 5 5 3 1 3 0 -> 3 0 4 4 3 4 2 3 0 0 4 0 5 4 5 3 1 3 0 , 34.42/9.12 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 20: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 17-rule system 34.42/9.12 { 0 4 3 0 0 2 4 3 0 2 4 4 5 1 2 5 4 0 3 5 -> 0 4 3 0 2 0 4 3 0 2 4 4 5 1 2 5 4 0 3 5 , 34.42/9.12 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 21: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 2 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 3 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 4 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 5 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 34.42/9.12 Remains to prove termination of the 16-rule system 34.42/9.12 { 5 4 1 5 4 4 0 4 5 1 0 1 2 5 4 2 5 2 1 5 -> 5 4 0 4 4 4 5 1 5 0 1 2 1 5 4 2 5 2 1 5 , 34.42/9.12 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.12 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.12 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.12 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.12 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.12 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.12 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.12 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.12 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.12 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.12 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.12 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.12 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.12 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.12 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.12 34.42/9.12 34.42/9.12 The system was filtered by the following matrix interpretation 34.42/9.12 of type E_J with J = {1,...,2} and dimension 21: 34.42/9.12 34.42/9.12 0 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 \ / 34.42/9.12 1 is interpreted by 34.42/9.12 / \ 34.42/9.12 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 15-rule system 34.42/9.13 { 0 5 1 3 5 4 1 0 4 3 2 0 1 3 0 3 1 3 1 5 5 -> 0 5 1 3 5 4 1 0 4 3 2 0 1 3 3 0 1 3 1 5 5 , 34.42/9.13 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.13 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.13 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.13 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 22: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 14-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 4 4 5 5 3 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 -> 4 4 5 3 5 4 1 4 5 2 3 2 4 1 3 2 1 2 4 2 3 5 , 34.42/9.13 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.13 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.13 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 23: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 13-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 0 1 2 1 2 3 4 0 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 -> 0 1 2 1 2 3 0 4 1 5 4 3 3 5 3 2 2 5 5 3 4 3 0 2 , 34.42/9.13 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.13 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 25: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 12-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 4 4 1 5 5 2 3 4 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 -> 4 4 1 5 5 2 4 3 3 4 1 5 5 3 3 4 4 4 0 3 2 2 3 5 , 34.42/9.13 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 25: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 11-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 5 1 4 4 0 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 -> 5 1 4 0 4 3 2 5 5 1 0 3 1 4 4 4 4 2 2 2 5 4 1 5 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 25: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 10-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 2 5 1 0 0 1 1 1 -> 5 5 0 2 3 2 4 5 2 2 2 3 0 2 2 1 4 5 2 1 0 0 1 1 1 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 26: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 9-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 3 4 5 3 2 3 4 -> 0 0 3 3 4 0 4 3 5 4 0 0 2 4 5 2 1 1 3 4 3 5 3 2 3 4 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 27: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 8-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 2 3 4 0 -> 1 4 2 2 1 1 1 0 3 1 2 5 5 5 0 0 1 3 1 3 4 0 3 3 2 4 0 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 28: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 7-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 2 5 5 5 3 5 2 0 3 1 3 3 -> 2 5 4 2 5 0 2 0 4 2 4 5 5 4 2 5 2 5 5 3 5 2 0 3 1 3 3 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 28: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 6-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 0 4 5 4 1 0 -> 2 5 4 5 0 5 5 5 2 5 4 4 5 0 0 3 3 2 5 2 4 4 0 5 4 1 0 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 28: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 2 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 3 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 4 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 5 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 34.42/9.13 Remains to prove termination of the 5-rule system 34.42/9.13 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.13 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 4 2 0 0 2 5 -> 5 1 1 4 2 0 4 3 1 2 3 3 3 4 0 3 1 4 4 5 4 2 4 0 0 2 5 , 34.42/9.13 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.13 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.13 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.13 34.42/9.13 34.42/9.13 The system was filtered by the following matrix interpretation 34.42/9.13 of type E_J with J = {1,...,2} and dimension 28: 34.42/9.13 34.42/9.13 0 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 \ / 34.42/9.13 1 is interpreted by 34.42/9.13 / \ 34.42/9.13 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.13 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 2 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 3 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 4 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 5 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 34.42/9.14 Remains to prove termination of the 4-rule system 34.42/9.14 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.14 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 5 1 5 5 3 3 4 2 5 -> 2 2 5 1 1 0 0 2 4 5 4 1 3 1 3 2 4 3 4 1 5 5 5 3 3 4 2 5 , 34.42/9.14 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.14 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.14 34.42/9.14 34.42/9.14 The system was filtered by the following matrix interpretation 34.42/9.14 of type E_J with J = {1,...,2} and dimension 29: 34.42/9.14 34.42/9.14 0 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 1 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 2 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 3 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 4 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 5 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 34.42/9.14 Remains to prove termination of the 3-rule system 34.42/9.14 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.14 1 4 5 0 2 3 1 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 -> 1 4 5 0 2 1 3 2 1 4 4 3 1 5 5 5 5 1 5 2 4 5 5 3 3 3 1 2 1 , 34.42/9.14 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.14 34.42/9.14 34.42/9.14 The system was filtered by the following matrix interpretation 34.42/9.14 of type E_J with J = {1,...,2} and dimension 30: 34.42/9.14 34.42/9.14 0 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 1 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 2 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 3 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 4 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 5 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 34.42/9.14 Remains to prove termination of the 2-rule system 34.42/9.14 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 , 34.42/9.14 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 2 0 3 0 3 4 0 0 1 2 1 3 0 0 -> 3 0 5 4 3 5 0 0 3 5 2 5 0 5 2 5 0 2 3 0 3 4 0 0 1 2 1 3 0 0 } 34.42/9.14 34.42/9.14 34.42/9.14 The system was filtered by the following matrix interpretation 34.42/9.14 of type E_J with J = {1,...,2} and dimension 31: 34.42/9.14 34.42/9.14 0 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 1 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 2 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 3 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 4 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 5 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 34.42/9.14 Remains to prove termination of the 1-rule system 34.42/9.14 { 3 3 2 3 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 -> 3 3 3 2 5 5 3 3 3 0 0 2 1 0 1 1 1 3 3 3 2 } 34.42/9.14 34.42/9.14 34.42/9.14 The system was filtered by the following matrix interpretation 34.42/9.14 of type E_J with J = {1,...,2} and dimension 22: 34.42/9.14 34.42/9.14 0 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 1 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 2 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 3 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 4 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 5 is interpreted by 34.42/9.14 / \ 34.42/9.14 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 34.42/9.14 \ / 34.42/9.14 34.42/9.14 Remains to prove termination of the 0-rule system 34.42/9.14 { } 34.42/9.14 34.42/9.14 34.42/9.14 The system is trivially terminating. 34.42/9.19 EOF